All Stories

  1. Hybrid Fourier Series and Weighted Residual Function Method for Caputo-Type Fractional PDEs with Variable Coefficients

    Article • Fractal and Fractional, November 2025, MDPI AG

    Dr Mohammad Taghi Darvishi

  2. A modified scheme to the multiple shooting method for BVPs

    Article • Alexandria Engineering Journal, April 2025, Elsevier

    Dr Mohammad Taghi Darvishi

  3. Error Estimators for a Krylov Subspace Iterative Method for Solving Linear Systems of Equations with a Symmetric Indefinite Matrix

    Article • Axioms, February 2025, MDPI AG

    Dr Mohammad Taghi Darvishi

  4. Solving Multi-Point Boundary Value Differential Equations with a Novel Semi-Analytical Algorithm

    Article • International Journal of Computational Methods, January 2025, World Scientific Pub Co Pte Lt

    Dr Mohammad Taghi Darvishi

  5. A Fourier Series Technique for Approximate Solutions of Modified Anomalous Time-Fractional Sub-Diffusion Equations

    Article • Fractal and Fractional, December 2024, MDPI AG

    Dr Mohammad Taghi Darvishi

  6. New Gaussons and traveling wave solutions for fractional nonlinear logarithmic models

    Article • Optik, August 2024, Elsevier

    Dr Mohammad Taghi Darvishi

  7. A Novel Semi-Analytical Scheme to Deal with Fractional Partial Differential Equations (PDEs) of Variable-Order

    Article • Fractal and Fractional, July 2024, MDPI AG

    Dr Mohammad Taghi Darvishi

  8. Some novel different solutions for Boussinesq-type models including bright, singular, and dark soliton ones

    Article • Revista Mexicana de Física, May 2024, Sociedad Mexicana de Fisica A C

    Dr Mohammad Taghi Darvishi

  9. An Analytical Study on Two High-Order Hybrid Methods to Solve Systems of Nonlinear Equations

    Article • Journal of Mathematics, March 2023, Hindawi Publishing Corporation

    Dr Mohammad Taghi Darvishi

  10. A variety of novel closed‐form soliton solutions to the family of Boussinesq‐like equations with different types

    Article • Journal of Ocean Engineering and Science, December 2022, Elsevier

    Dr Mohammad Taghi Darvishi

  11. An Extension on the Local Convergence for the Multi-Step Seventh Order Method with ψ-Continuity Condition in the Banach Spaces

    Article • Fractal and Fractional, November 2022, MDPI AG

    Dr. Jai Prakash Jaiswal, Dr Mohammad Taghi Darvishi

  12. Constructing a Class of Frozen Jacobian Multi-Step Iterative Solvers for Systems of Nonlinear Equations

    Article • Mathematics, August 2022, MDPI AG

    Dr Mohammad Taghi Darvishi

  13. A novel approach to study generalized coupled cubic Schrödinger–Korteweg-de Vries equations

    Article • Journal of Ocean Engineering and Science, June 2022, Elsevier

    Dr Mohammad Taghi Darvishi, P. Veeresha

  14. A Comparative Study on Qualification Criteria of Nonlinear Solvers with Introducing Some New Ones

    Article • Journal of Mathematics, January 2022, Wiley

    Dr Mohammad Taghi Darvishi

  15. New Gaussian solitary wave solutions in nanofibers

    Article • Waves in Random and Complex Media, September 2021, Taylor & Francis

    Dr Mohammad Taghi Darvishi

  16. Conformable space-time fractional nonlinear (1+1)-dimensional Schrödinge...

    Article • Chaos Solitons & Fractals, September 2021, Elsevier

    Dr Mohammad Taghi Darvishi

  17. Some optical soliton solutions of space-time conformable fractional Schrödinger-type models

    Article • Physica Scripta, April 2021, Institute of Physics Publishing

    Dr Mohammad Taghi Darvishi

  18. A semi-analytical approach to Caputo type time-fractional modified anomalous sub-diffusion equations

    Article • Applied Numerical Mathematics, December 2020, Elsevier

    Dr Mohammad Taghi Darvishi

  19. Stability Analysis of Jacobian-Free Newton’s Iterative Method

    Article • Algorithms, November 2019, MDPI AG

    Dr Mohammad Taghi Darvishi

  20. An Efficient Iterative Method Based on Two-Stage Splitting Methods to Solve Weakly Nonlinear Systems

    Article • Mathematics, September 2019, MDPI AG

    Dr Mohammad Taghi Darvishi

  21. A fast algorithm to solve systems of nonlinear equations

    Article • Journal of Computational and Applied Mathematics, July 2019, Elsevier

    Dr Mohammad Taghi Darvishi

  22. Numerical simulation for the space-fractional diffusion equations

    Article • Applied Mathematics and Computation, May 2019, Elsevier

    Dr Mohammad Taghi Darvishi

  23. An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems

    Article • Applied Mathematics and Computation, November 2018, Elsevier

    Dr Mohammad Taghi Darvishi

  24. Numerical solution of space fractional diffusion equation by the method of lines and splines

    Article • Applied Mathematics and Computation, November 2018, Elsevier

    Dr Mohammad Taghi Darvishi

  25. Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences

    Article • Journal of Mathematical Chemistry, October 2018, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  26. Construction of exact solutions in a magneto-electro-elastic circular rod

    Article • Waves in Random and Complex Media, August 2018, Taylor & Francis

    Abdul-Majid Wazwaz, Dr Mohammad Taghi Darvishi

  27. Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems

    Article • Journal of Computational and Applied Mathematics, August 2018, Elsevier

    Dr Mohammad Taghi Darvishi

  28. Some extensions of Zakharov–Kuznetsov equations and their Gaussian solitary wave solutions

    Article • Physica Scripta, July 2018, Institute of Physics Publishing

    Dr Mohammad Taghi Darvishi

  29. New extended rational trigonometric methods and applications

    Article • Waves in Random and Complex Media, June 2018, Taylor & Francis

    Dr Mohammad Taghi Darvishi

  30. Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems

    Article • Applied Mathematics and Computation, April 2018, Elsevier

    Dr Mohammad Taghi Darvishi

  31. Dispersive bright, dark and singular optical soliton solutions in conformable fractional optical fiber Schrödinger models and its applications

    Article • Opto-electronics, March 2018, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  32. Modified Kudryashov method and its application to the fractional version of the variety of Boussinesq-like equations in shallow water

    Article • Opto-electronics, February 2018, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  33. Optical solitons for a family of nonlinear ( $$1+1$$ 1 + 1 )-dimensional time-space fractional Schrödinger models

    Article • Opto-electronics, December 2017, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  34. A correction of (2+1) Dimensional BTZ Black Hole Entropy as a New Series with Dependence on Plank Constant

    Article • International Journal of Theoretical Physics, October 2017, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  35. Traveling wave solutions for time-fractional K(m, n) equation

    Article • Optik, August 2017, Elsevier

    Dr Mohammad Taghi Darvishi

  36. A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions

    Article • Journal of Computational and Applied Mathematics, June 2017, Elsevier

    Dr Mohammad Taghi Darvishi

  37. A semi-analytical approach to solve integro-differential equations

    Article • Journal of Computational and Applied Mathematics, June 2017, Elsevier

    Dr Mohammad Taghi Darvishi

  38. Numerical simulation for fractional nonlinear (1 + 1)-dimensional Biswas–Milovic equation

    Article • Optik, May 2017, Elsevier

    Dr Mohammad Taghi Darvishi

  39. Semi-analytical solutions for different kinds of fractional Biswas–Milovic equation

    Article • Optik, May 2017, Elsevier

    Dr Mohammad Taghi Darvishi

  40. A two-dimensional Haar wavelets method for solving systems of PDEs

    Article • Applied Mathematics and Computation, January 2017, Elsevier

    Dr Mohammad Taghi Darvishi

  41. Soliton solutions for Boussinesq-like equations with spatio-temporal dispersion

    Article • Ocean Engineering, January 2017, Elsevier

    Dr Mohammad Taghi Darvishi

  42. An investigation of fractional Riccati differential equation

    Article • Optik, December 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  43. Thermal analysis of natural convection and radiation in a fully wet porous fin

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, November 2016, Emerald

    Dr Mohammad Taghi Darvishi

  44. Fractional version of (1 + 1)-dimensional Biswas–Milovic equation and its solutions

    Article • Optik, November 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  45. New exact traveling wave solutions for space-time fractional (1 + 1)-dimensional SRLW equation

    Article • Optik, November 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  46. HOPF BIFURCATION ANALYSIS AND DESIGN OF HYBRID CONTROL FOR GROWTH MODEL WITH DELAY

    Article • International Journal of Pure and Apllied Mathematics, October 2016, Academic Publications

    Dr Mohammad Taghi Darvishi

  47. A new fractional Biswas–Milovic model with its periodic soliton solutions

    Article • Optik, October 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  48. Traveling wave solutions of a (2 + 1)-dimensional Zakharov-like equation by the first integral method and the tanh method

    Article • Optik, August 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  49. Elastic collision of mobile solitons of a (3 + 1)-dimensional soliton equation

    Article • Nonlinear Dynamics, July 2016, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  50. A semi-analytical solution of Hunter–Saxton equation

    Article • Optik, July 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  51. A semi-analytical solution of foam drainage equation by Haar wavelets method

    Article • Optik, July 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  52. Thermal analysis of a fully wet porous radial fin with natural convection and radiation using the spectral collocation method

    Article • International Journal of Applied Mechanics and Engineering, May 2016, De Gruyter

    Dr Gireesha B.J Bijjanal Jayanna, Rama Gorla, Dr Mohammad Taghi Darvishi

  53. Numerical investigation for a hyperbolic annular fin with temperature dependent thermal conductivity

    Article • Propulsion and Power Research, March 2016, Elsevier

    Dr Mohammad Taghi Darvishi

  54. Exact propagating multi-anti-kink soliton solutions of a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation

    Article • Nonlinear Dynamics, October 2015, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  55. Thermal performance of a porus radial fin with natural convection and radiative heat losses

    Article • Thermal Science, January 2015, National Library of Serbia

    Dr Mohammad Taghi Darvishi

  56. Numerical investigation of the flow of a micropolar fluid through a porous channel with expanding or contracting walls

    Article • Propulsion and Power Research, September 2014, Elsevier

    Professor Precious Sibanda, Dr Mohammad Taghi Darvishi

  57. Unsteady thermal response of a porous fin under the influence of natural convection and radiation

    Article • Heat and Mass Transfer, April 2014, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  58. Corrected horizon of Kerr-Sen black hole as a series with terms involve powers of the inverse of the area

    Article • Astrophysics and Space Science, November 2013, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  59. Natural convection and radiation in porous fins

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, October 2013, Emerald

    Dr Mohammad Taghi Darvishi, Rama Gorla

  60. Hawking temperature and entropy of Kerr-Sen black hole as a series with dependence on Plank constant

    Article • Astrophysics and Space Science, July 2013, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  61. AN EFFICIENT NUMERICAL METHOD FOR SOLVING FREDHOLM INTEGRAL EQUATIONS OVER (0,+infty)

    Article • International Journal of Pure and Apllied Mathematics, May 2013, Academic Publications

    Dr Mohammad Taghi Darvishi

  62. Generalized uncertainty principle and Bekenstein-Hawking entropy in tunneling rate of Kerr black hole

    Article • Astrophysics and Space Science, April 2013, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  63. The phase space of quintom cosmology

    Article • Astrophysics and Space Science, March 2013, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  64. Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti—Leon—Manna—Pempinelli Equations

    Article • Communications in Theoretical Physics, December 2012, Institute of Physics Publishing

    Dr Mohammad Taghi Darvishi

  65. Generalized uncertainty principle and quantum gravitational effects on tunneling rate of Reissner-Nordström black hole

    Article • Astrophysics and Space Science, September 2012, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  66. New Exact Solutions of a Relativistic Toda Lattice System

    Article • Chinese Physics Letters, September 2012, Institute of Physics Publishing

    Dr Mohammad Taghi Darvishi

  67. SOR- Steffensen-Newton Method to Solve Systems of Nonlinear Equations

    Article • Journal Applied Mathematics, August 2012, Scientific and Academic Publishing

    Dr Mohammad Taghi Darvishi

  68. New Exact Solutions to the (2+1)-Dimensional Ablowitz—Kaup—Newell—Segur Equation: Modification of the Extended Homoclinic Test Approach

    Article • Chinese Physics Letters, April 2012, Institute of Physics Publishing

    Dr Mohammad Taghi Darvishi

  69. He's variational method for a (2 + 1)-dimensional soliton equation

    Article • International Journal of Applied Mathematical Research, March 2012, Science Publishing Corporation

    Dr Mohammad Taghi Darvishi

  70. A modified symmetric successive overrelaxation method for augmented systems

    Article • Computers & Mathematics with Applications, May 2011, Elsevier

    Dr Mohammad Taghi Darvishi

  71. Preconditioned modified AOR method for systems of linear equations

    Article • International Journal for Numerical Methods in Biomedical Engineering, April 2011, Wiley

    Dr Mohammad Taghi Darvishi

  72. A Modification of Extended Homoclinic Test Approach to Solve the (3+1)-Dimensional Potential-YTSF Equation

    Article • Chinese Physics Letters, April 2011, Institute of Physics Publishing

    Dr Mohammad Taghi Darvishi

  73. Analytical investigation for cooling turbine disks with a non-Newtonian viscoelastic fluid

    Article • Computers & Mathematics with Applications, April 2011, Elsevier

    Dr Mohammad Taghi Darvishi

  74. A comparison of the Newton–Krylov method with high order Newton-like methods to solve nonlinear systems

    Article • Applied Mathematics and Computation, December 2010, Elsevier

    Dr Mohammad Taghi Darvishi

  75. CONVERGENCE ANALYSIS OF PRECONDITIONED AOR ITERATIVE METHOD

    Article • Honam Mathematical Journal, September 2010, The Homan Mathematical Society

    Dr Mohammad Taghi Darvishi

  76. NEW EXACT SOLUTIONS OF COUPLED (2+1)-DIMENSIONAL NONLINEAR SYSTEMS OF SCHRÖDINGER EQUATIONS

    Article • The ANZIAM Journal, July 2010, Cambridge University Press

    Dr Mohammad Taghi Darvishi

  77. Symmetric modified AOR method to solve systems of linear equations

    Article • Journal of Applied Mathematics and Computing, March 2010, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  78. New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations

    Article • International Journal of Computer Mathematics, March 2010, Taylor & Francis

    Dr Mohammad Taghi Darvishi

  79. Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations

    Article • Journal of Computational and Applied Mathematics, February 2010, Elsevier

    Dr Mohammad Taghi Darvishi

  80. Homotopy Analysis Method for Variable Thermal Conductivity Heat Flux Gage with Edge Contact Resistance

    Article • Zeitschrift für Naturforschung A, January 2010, De Gruyter

    Dr Mohammad Taghi Darvishi

  81. Minimal length uncertainty and generalized non-commutative geometry

    Article • Chaos Solitons & Fractals, December 2009, Elsevier

    Ali Naghipour, Dr Mohammad Taghi Darvishi

  82. Some exact and new solutions of the Nizhnik–Novikov–Vesselov equation using the Exp-function method

    Article • Computers & Mathematics with Applications, December 2009, Elsevier

    Dr Mohammad Taghi Darvishi

  83. A series solution of the foam drainage equation

    Article • Computers & Mathematics with Applications, July 2009, Elsevier

    Dr Mohammad Taghi Darvishi

  84. New solitary wave and periodic solutions of the foam drainage equation using the Exp-function method

    Article • Nonlinear Analysis Real World Applications, June 2009, Elsevier

    Dr Mohammad Taghi Darvishi

  85. Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations

    Article • Chaos Solitons & Fractals, March 2009, Elsevier

    Dr Mohammad Taghi Darvishi

  86. A New Preconditioner on Gauss-Seidel Method for H-Matrices

    Article • January 2009, American Institute of Physics

    Dr Mohammad Taghi Darvishi

  87. Application of He's Parameter-expansion Method to a Nonlinear Self-excited Oscillator System

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, January 2009, De Gruyter

    Dr Mohammad Taghi Darvishi

  88. Spectral collocation method and Darvishi’s preconditionings to solve the generalized Burgers–Huxley equation

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2008, Elsevier

    Dr Mohammad Taghi Darvishi

  89. Application of He's parameter-expansion method for oscillators with smooth odd nonlinearities

    Article • Physics Letters A, August 2008, Elsevier

    Dr Mohammad Taghi Darvishi

  90. A note on the local convergence of iterative methods based on Adomian decomposition method and 3-node quadrature rule

    Article • Applied Mathematics and Computation, June 2008, Elsevier

    Dr Mohammad Taghi Darvishi

  91. Symmetric block-SOR methods for rank-deficient least squares problems

    Article • Journal of Computational and Applied Mathematics, May 2008, Elsevier

    Dr Mohammad Taghi Darvishi

  92. Application of He’s Homotopy Perturbation Method to Stiff Systems of Ordinary Differential Equations

    Article • Zeitschrift für Naturforschung A, January 2008, De Gruyter

    Dr Mohammad Taghi Darvishi

  93. The numerical simulation for stiff systems of ordinary differential equations

    Article • Computers & Mathematics with Applications, October 2007, Elsevier

    Dr Mohammad Taghi Darvishi

  94. A fourth-order method from quadrature formulae to solve systems of nonlinear equations

    Article • Applied Mathematics and Computation, May 2007, Elsevier

    Dr Mohammad Taghi Darvishi

  95. Super cubic iterative methods to solve systems of nonlinear equations

    Article • Applied Mathematics and Computation, May 2007, Elsevier

    Dr Mohammad Taghi Darvishi

  96. A third-order Newton-type method to solve systems of nonlinear equations

    Article • Applied Mathematics and Computation, April 2007, Elsevier

    Dr Mohammad Taghi Darvishi

  97. Spectral collocation solution of a generalized Hirota–Satsuma coupled KdV equation

    Article • International Journal of Computer Mathematics, April 2007, Taylor & Francis

    Dr Mohammad Taghi Darvishi

  98. On convergence of the symmetric modified successive overrelaxation method for 2-cyclic coefficient matrices

    Article • Applied Mathematics and Computation, December 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  99. Symmetric SOR method for augmented systems

    Article • Applied Mathematics and Computation, December 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  100. A numerical solution of the Korteweg-de Vries equation by pseudospectral method using Darvishi’s preconditionings

    Article • Applied Mathematics and Computation, November 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  101. Determination of the optimal value of relaxation parameter in symmetric SOR method for rectangular coefficient matrices

    Article • Applied Mathematics and Computation, October 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  102. On convergence of the generalized accelerated overrelaxation method

    Article • Applied Mathematics and Computation, October 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  103. On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices

    Article • Applied Mathematics and Computation, May 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  104. A numerical solution of Burgers’ equation by pseudospectral method and Darvishi’s preconditioning

    Article • Applied Mathematics and Computation, February 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  105. Symmetric successive overrelaxation methods for rank deficient linear systems

    Article • Applied Mathematics and Computation, February 2006, Elsevier

    Dr Mohammad Taghi Darvishi

  106. A numerical solution of Burgers’ equation by time discretization of Adomian’s decomposition method

    Article • Applied Mathematics and Computation, November 2005, Elsevier

    Dr Mohammad Taghi Darvishi

  107. A numerical solution of Burgers’ equation by modified Adomian method

    Article • Applied Mathematics and Computation, April 2005, Elsevier

    Dr Mohammad Taghi Darvishi

  108. New algorithms for solving odes by pseudospectral method

    Article • Journal of Applied Mathematics and Computing, May 2000, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi

  109. Error reduction for higher derivatives of Chebyshev collocation method using preconditioning and domain decomposition

    Article • Journal of Applied Mathematics and Computing, May 1999, Springer Science + Business Media

    Dr Mohammad Taghi Darvishi