All Stories

  1. Periodic problems of unforced/periodically-forced nonlinear oscillators: Theoretical formulation and boundary shape function method
  2. Turbulent magnetic flux and heat transfer amplitude of unsteady MHD fluid using solar energy and joule heating with thermally stratified medium and gravitational conditions
  3. Thermal performance evaluation of graphene oxide and silicone oil-based nanofluid for multisituation porous media flow using nanoparticle’s shape-dependent thermophysical characteristics
  4. Williamson nanofluid aspects on fluctuating radiative heat and mass transfer with viscous dissipation along heat exchanger plate in nuclear-power plants
  5. Wave oscillation in periodic-boundary layers and turbulent heat flow using Powell-Eyring nanofluid, nonlinear radiation and entropy generation via finite-difference method
  6. Amplitude analysis of turbulent boundary layers and oscillatory heat transfer using Powell-Eyring nanofluid, exothermic reaction and periodic Stokes conditions
  7. An Adaptive Semi-Analytical Approach in Solving Nonlinear Korteweg-De Vries Equations
  8. Unsteady chemically reactive heat and mass transfer during Darcy Forchheimer radiative nanofluid flow with slip conditions: Application to nano‐lubrications and cutting process
  9. Computational analysis of microgravity and viscous dissipation impact on periodical heat transfer of MHD fluid along porous radiative surface with thermal slip effects
  10. Oscillatory and non-oscillatory analysis of heat and mass transfer of Darcian MHD flow of nanofluid along inclined radiating plate with joule heating and multiple slip effects: Microgravity analysis
  11. Microgravity analysis of periodic oscillations of heat and mass transfer of Darcy-Forchheimer nanofluid along radiating stretching surface with Joule heating effects
  12. Solar radiation and heat sink impact on fluctuating mixed convective flow and heat rate of Darcian nanofluid: Applications in electronic cooling systems
  13. Optimal Combination of the Splitting–Linearizing Method to SSOR and SAOR for Solving the System of Nonlinear Equations
  14. Heat and mass transfer in magnetohydrodynamic boundary layer flow of second-grade nanofluid fluid past inclined stretching permeable surface implanted in a porous medium
  15. Analytical study to solving the inhomogeneous pantograph delay equation: the exact solution
  16. Artificial neural network of thermal Buoyancy and Fourier flux impact on suction/injection‐based Darcy medium surface filled with hybrid and ternary nanoparticles
  17. Heat Transfer in Hybrid Nanofluid Flow Past an Infinite Orthogonal Plate with Biot Number and Velocity Slip Effects
  18. Amplitude and oscillating frequency of chemically reactive flow along inclined gravity-driven surface in the presence of thermal conductivity
  19. Developed analytical approach for a special kind of differential-difference equation: Exact solution
  20. Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems
  21. Piecewise approximate analytical solutions of high-order reaction-diffusion singular perturbation problems with boundary and interior layers
  22. Thermal radiation effects on oscillating frequency of heat transfer of Darcy–Forchheimer nanofluid with chemical reaction and applications in machining operations
  23. Amplitude of heat and mass transfer of gravity-driven convective oscillatory flow along inclined heated plate under reduced gravity and viscosity
  24. Advances in mathematical analysis for solving inhomogeneous scalar differential equation
  25. A novel analytical treatment for the Ambartsumian delay differential equation with a variable coefficient
  26. Significance of thermal density and viscous dissipation on heat and mass transfer of chemically reactive nanofluid flow along stretching sheet under magnetic field
  27. Thermal analysis of mineral oil-based hybrid nanofluid subject to time-dependent energy and flow conditions and multishaped nanoparticles
  28. A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes
  29. Projectile Motion in Special Theory of Relativity: Re-Investigation and New Dynamical Properties in Vacuum
  30. Dynamical Optimal Values of Parameters in the SSOR, AOR, and SAOR Testing Using Poisson Linear Equations
  31. Amplitude and oscillating assessment of thermal and magnetic boundary layer flow across circular heated cylinder with heat source/sink
  32. Comparative thermal analysis of Nickel and Tantalum based hybrid nanofluid using constant proportional Caputo and Atangana–Baleanu operators with time-controlled condition
  33. Heat transfer assessment with entropy generation and thermal density effects on boundary layer flow of magneto nanofluid across the stretching sheet under magnetic field
  34. Retraction notice to “Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel” [Applied Mathematics and Computation 420(2022) / 126868]
  35. A Proposed Application of Fractional Calculus on Time Dilation in Special Theory of Relativity
  36. Exact Solution of Non-Homogeneous Fractional Differential System Containing 2n Periodic Terms under Physical Conditions
  37. Viscous dissipation and variable viscosity impacts on oscillatory heat and mass transfer of gravity-driven reactive flow along heated plate
  38. Mathematical Physics of Time Dilation through Curved Trajectories with Applications
  39. Applications of triadic hybridized-cross nanomaterials suspended in engine oil using quadratic and linear convection with magnetic dipole
  40. A Novel Approach to Solving Fractional-Order Kolmogorov and Rosenau–Hyman Models through the q-Homotopy Analysis Transform Method
  41. NUMERICAL ANALYSIS OF FRACTIONAL- ORDER EMDEN–FOWLER EQUATIONS USING MODIFIED VARIATIONAL ITERATION METHOD
  42. AN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMS
  43. Nonlinear Algebraic Equations Solved by an Optimal Splitting-Linearizing Iterative Method
  44. Analytical and Numerical Simulations of a Delay Model: The Pantograph Delay Equation
  45. The Exact Solutions of Fractional Differential Systems with n Sinusoidal Terms under Physical Conditions
  46. Heat transfers thermodynamic activity of a second-grade ternary nanofluid flow over a vertical plate with Atangana-Baleanu time-fractional integral
  47. MHD electroosmotic peristaltic flow of Jeffrey nanofluid with slip conditions and chemical reaction
  48. Extended Residual Power Series Algorithm for Boundary Value Problems
  49. An analytical study of the unsteady nonlinear convection flow of nanofluids in an infinitely rectangular channel
  50. The significance of exponential space-based heat generation and variable thermophysical properties on the dynamics of Casson fluid over a stratified surface with non-uniform thickness
  51. Author Correction: Finite element analysis for ternary hybrid nanoparticles on thermal enhancement in pseudo-plastic liquid through porous stretching sheet
  52. Homotopic solutions of an unsteady magnetohydrodynamic flow of Casson nanofluid flow by a vertical cylinder with Brownian and viscous dissipation effects
  53. Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients
  54. Galerkin finite element analysis for the augmentation in thermal transport of ternary-hybrid nanoparticles by engaging non-Fourier’s law
  55. Thermal conductivity performance in propylene glycol-based Darcy-Forchheimer nanofluid flow with entropy analysis
  56. Modeling of three dimensional Prandtl hybrid nano-material over a heated rotating cone involving hall and ion slip currents via finite element procedure
  57. LSM and DTM-Pade approximation for the combined impacts of convective and radiative heat transfer on an inclined porous longitudinal fin
  58. Analysis of natural convection flows of Jeffrey fluid with Prabhakar-like thermal transport
  59. A study of triple-mass diffusion species and energy transfer in Carreau–Yasuda material influenced by activation energy and heat source
  60. Analysis of Fractional-Order Regularized Long-Wave Models via a Novel Transform
  61. Finite element analysis for ternary hybrid nanoparticles on thermal enhancement in pseudo-plastic liquid through porous stretching sheet
  62. Analysis of fourth-grade fluid model over a stretchable surface with Riga plate subject to permeable medium
  63. Application of random forest for modelling of surface water salinity
  64. Forced convection three-dimensional Maxwell nanofluid flow due to bidirectional movement of sheet with zero mass flux
  65. Memory effects on conjugate buoyant convective transport of nanofluids in annular geometry: A generalized Cattaneo law of thermal flux
  66. Theoretical investigation of radiative viscous hybrid nanofluid towards a permeable surface of cylinder
  67. Mathematical Simulation of Heat Transfer in Thermally Magnetised Oldroyd-B Fluid in Sakiadis Rheology with a Heat Reservoir
  68. Numerical investigation of EMHD nanofluid flows over a convectively heated riga pattern positioned horizontally in a Darcy-Forchheimer porous medium: application of passive control strategy and generalized transfer laws
  69. Applications of bioconvection for tiny particles due to two concentric cylinders when role of Lorentz force is significant
  70. A three-dimensional flow of an Oldroyd-B liquid with magnetic field and radiation effects: An application of thermophoretic particle deposition
  71. Computation of magnetized Couette–Poiseuille thermal flow of couple stress between two analogous plate with variable viscosity suspending the hafnium particles
  72. Irreversibility analysis in hydromagnetic flow of Newtonian fluid with Joule heating: Darcy-Forchheimer model
  73. Linear and quadratic convection on 3D flow with transpiration and hybrid nanoparticles
  74. RETRACTED: Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel
  75. Bidirectional rotating flow of nanofluid over a variable thickened stretching sheet with non-Fourier’s heat flux and non-Fick’s mass flux theory
  76. Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation
  77. Entropy optimized analysis for the radiative flow of a nanofluid: the Darcy-Forchheimer model
  78. Heat transfer enhancement for Marangoni Darcy-Forchheimer convective flow of hybrid nanofluid with magnetic force and dissipation features
  79. The impact of the movement of the gyrotactic microorganisms on the heat and mass transfer characteristics of Casson nanofluid
  80. Numerical simulation of a thermally enhanced EMHD flow of a heterogeneous micropolar mixture comprising (60%)-ethylene glycol (EG), (40%)-water (W), and copper oxide nanomaterials (CuO)
  81. Analytical solution for temperature equation of a fin problem with variable temperature-dependent thermal properties: Application of LSM and DTM-Pade approximant
  82. Entropy optimized flow of Darcy-Forchheimer viscous fluid with cubic autocatalysis chemical reactions
  83. Generalized Exp-Function Method to Find Closed Form Solutions of Nonlinear Dispersive Modified Benjamin–Bona–Mahony Equation Defined by Seismic Sea Waves
  84. Studying Massive Suction Impact on Magneto-Flow of a Hybridized Casson Nanofluid on a Porous Continuous Moving or Fixed Surface
  85. Thermal transport model for Brinkman type nanofluid containing carbon nanotubes with sinusoidal oscillations conditions: a fractional derivative concept
  86. Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator
  87. Intelligent computing through neural networks for entropy generation in MHD third-grade nanofluid under chemical reaction and viscous dissipation
  88. An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform
  89. Comparative Performance among Hamilton Crosser and Yamada Ota Hybrid Nanofluid Models in Generalized Mass Diffusion and Heat Energy across a Vertical Heated Riga Plate via Finite Element Analysis
  90. Hall effects and viscous dissipation applications in peristaltic transport of Jeffrey nanofluid due to wave frame
  91. Applications of fractional derivatives in MHD free-convective oscillating flow of a blood based CNTs nanofluid across a porous medium
  92. Dynamics of mixed convection and Hall current in radiative power-law velocity slip flow of non-Newtonian fluid
  93. Variable thermal applications of radiative micropolar nanofluid solutal boundary conditions
  94. An Application of Homotopy Perturbation Method to Fractional-Order Thin Film Flow of the Johnson–Segalman Fluid Model
  95. Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach
  96. Heat transport in entropy-optimized flow of viscoelastic fluid due to Riga plate: analysis of artificial neural network
  97. Dynamics of ferromagnetic due to nonlinear thermal buoyancy when Cattaneo–Christov heat flux and magnetic dipole whose magnetic scalars are significant
  98. Numerical simulations for three-dimensional rotating porous disk flow of viscoelastic nanomaterial with activation energy, heat generation and Nield boundary conditions
  99. Study of buoyancy effects in unsteady stagnation point flow of Maxwell nanofluid over a vertical stretching sheet in the presence of Joule heating
  100. EMHD creeping rheology of nanofluid through a micro-channel via ciliated propulsion under porosity and thermal effects
  101. RETRACTED: Implication of forced convective flow of nanofluid towards an exponentially stretched surface: Non-similar transformations
  102. Influential study of novel microorganism and nanoparticles during heat and mass transport in Homann flow of visco-elastic materials
  103. Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method
  104. Transportation of Marangoni convection with dust particles random motion in flow of hybrid nanomaterials
  105. A Galerkin strategy for tri-hybridized mixture in ethylene glycol comprising variable diffusion and thermal conductivity using non-Fourier’s theory
  106. An implication of magnetic dipole in Carreau Yasuda liquid influenced by engine oil using ternary hybrid nanomaterial
  107. Darcy-Forchheimer Flow of Magnetized Bioconvective Williamson Nanofluid with Variable Thermal Conductivity
  108. Non-axisymmetric Homann stagnation-point flow of unsteady Walter's B nanofluid over a vertical cylindrical disk
  109. Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface
  110. Heat Transfer Analysis For Oscillating Flow of Magnetized Fluid By Using The Modified Prabhakar-Like Fractional Derivatives
  111. Comparative analysis for radiative slip flow of magnetized viscous fluid with mixed convection features: Atangana-Baleanu and Caputo-Fabrizio fractional simulations
  112. Heat transfer and melting flow ofa Reiner-Philippoff fluid over a surface with Darcy-Forchheimer medium
  113. Computational Assessment of Thermal and Solute Mechanisms in Carreau–Yasuda Hybrid Nanoparticles Involving Soret and Dufour Effects over Porous Surface
  114. A boundary shape function iterative method for solving nonlinear singular boundary value problems
  115. The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium
  116. Unsteady MHD Mixed Convection Flow of Non-Newtonian Casson Hybrid Nanofluid in the Stagnation Zone of Sphere Spinning Impulsively
  117. Numerical Computation of Dufour and Soret Effects on Radiated Material on a Porous Stretching Surface with Temperature-Dependent Thermal Conductivity
  118. Contribution of joule heating and viscous dissipation on three dimensional flow of Casson model comprising temperature dependent conductance utilizing shooting method
  119. Effect of rotational slip on the physical parameter in a micropolar fluid flow past a stretching sheet
  120. Micropolar nanoliquid flow via mixed convective over an orthogonal cylinder
  121. Solving nonlinear elliptic equations in arbitrary plane domains by using a new splitting and linearization technique
  122. Three novel fifth-order iterative schemes for solving nonlinear equations
  123. A novel exact solution for the fractional Ambartsumian equation
  124. Combination ofShehudecomposition and variational iteration transform methods for solving fractional third order dispersive partial differential equations
  125. The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method
  126. An efficient approach for solution of fractional-order Helmholtz equations
  127. The Riemann–Liouville fractional derivative for Ambartsumian equation
  128. Analysis of Optical Solitons for Nonlinear Schrödinger Equation with Detuning Term by Iterative Transform Method
  129. Boundary layer flow pattern of heat and mass for homogenous shear thinning hybrid‐nanofluid: An experimental data base modeling
  130. The Exact Solution of the Falling Body Problem in Three-Dimensions: Comparative Study
  131. On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena
  132. Author Correction: Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder
  133. Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
  134. Analytical approximate solutions for nonplanar Burgers equations by weighted residual method
  135. Heat Transfer Enhancement of Magneto-Micropolar Nanofluid Over a Wedge
  136. A PIECEWISE APPROXIMATE ANALYTICAL SOLUTION FOR NONLINEAR TRANSIENT CIRCUITS USING ADAPTIVE STEP SIZE L-STABLE INTEGRATION SCHEME
  137. Absolutely stable difference scheme for a general class of singular perturbation problems
  138. Generalized Newtonian fractional model for the vertical motion of a particle
  139. Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder
  140. Re-Evaluating the Classical Falling Body Problem
  141. Adaptation of Conformable Residual Power Series Scheme in Solving Nonlinear Fractional Quantum Mechanics Problems
  142. Nonlinear Vibrations Analysis and Dynamic Responses of a Vertical Conveyor System Controlled by a Proportional Derivative Controller
  143. Sinusoidal Natural Convective Flow of Non-Newtonian Nanoliquid Over a Radiative Vertical Plate in a Saturated Porous Medium
  144. Utilizing Nonlinear Active Vibration Control to Quench the Nonlinear Vibrations of Helicopter Blade Flapping System
  145. Approximate analytical solution of singularly perturbed boundary value problems in MAPLE
  146. Development of analytical solution for a generalized Ambartsumian equation
  147. Exact Solution of Non-Newtonian Blood Flow with Nanoparticles through Porous Arteries: A Comparative Study
  148. Analytical Solution of Neutron Diffusion Equation in Reflected Reactors Using Modified Differential Transform Method
  149. A New Generalized Taylor-Like Explicit Method for Stiff Ordinary Differential Equations
  150. The Impact of Sinusoidal Surface Temperature on the Natural Convective Flow of a Ferrofluid along a Vertical Plate
  151. Exact solutions of the generalized nonlinear Fokas-Lennells equation
  152. Analysis of the two-dimensional fractional projectile motion in view of the experimental data
  153. Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves
  154. Solution of Ambartsumian Delay Differential Equation with Conformable Derivative
  155. Optical soliton solutions of the time-fractional perturbed Fokas-Lenells equation: Riemann-Liouville fractionalderivative
  156. Unsteady MHD slip flow of a ferrofluid over an impulsively stretched vertical surface
  157. Analytical and Numerical Investigation of Fe3O4–Water Nanofluid Flow over a Moveable Plane in a Parallel Stream with High Suction
  158. Optical soliton perturbation with Fokas-Lenells model by Riccati equation approach
  159. Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution
  160. A new analytical solution of the hyperbolic Kepler equation using the Adomian decomposition method
  161. A New Fractional Model for the Falling Body Problem
  162. Approximate Analytical Solution of Nonlinear Third-Order Singularly Perturbed BVPs Using Homotopy Analysis Method-Padé Method
  163. Effect of Chemical Reaction on Heat and Mass Transfer by Mixed Convection Flow of Casson Fluid About a Sphere with Partial Slip
  164. Piecewise Rational Approximate Solutions of Nonlinear Transient Circuits Using Adaptive Step-Size MsDTM-Pad� Method
  165. Piecewise Approximate Analytical Solutions of High-Order Singular Perturbation Problems with a Discontinuous Source Term
  166. Studying High Suction Effect on Boundary-Layer Flow of a Nanofluid on Permeable Surface via Singular Perturbation Technique
  167. On controlling the vibrations and energy transfer in MEMS gyroscope system with simultaneous resonance
  168. A Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE Systems
  169. MHD mixed convection stagnation-point flow of a viscoelastic fluid towards a stretching sheet in a porous medium with heat generation and radiation
  170. A non-linear high order explicit differential transform based method for solving initial value problems
  171. Applications of Adaptive Multi Step Differential Transform Method to Singular Perturbation Problems Arising in Science and Engineering
  172. Applications of Adaptive Multi Step Differential Transform Method to Singular Perturbation Problems Arising in Science and Engineering
  173. A NON-LINEAR FIFTH ORDER A-STABLE EXPLICIT ONE-STEP METHOD FOR STIFF SYSTEMS ARISING IN CHEMICAL REACTIONS
  174. A NON-LINEAR ABSOLUTELY-STABLE EXPLICIT NUMERICAL INTEGRATION ALGORITHM FOR STIFF INITIAL-VALUE PROBLEMS
  175. Approximate analytical solutions of singularly perturbed fourth order boundary value problems using differential transform method
  176. Mathematical Modeling of Heat-Transfer for a Moving Sheet in a Moving Fluid
  177. A New Method for Solving Singularly Perturbed Boundary Value Problems
  178. Approximate Analytical Solutions for Singularly Perturbed Boundary Value Problems by Multi-Step Differential Transform Method
  179. NME: Some Useful Excel/VBA Codes for Numerical Methods in Engineering
  180. Variable step size initial value algorithm for singular perturbation problems using locally exact integration
  181. An algorithm for solving singular perturbation problems with mechanization