What is it about?
This paper considers a novel numerical method based on Lucas-fractional Lucas functions (L-FL-Fs) and the collocation method for solving the distributed-order time-fractional diffusion equations. In the current investigation, we express the new computational process to gain the integral operational matrix for Lucas polynomials (LPs) and fractional Lucas functions (FLFs).
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Why is it important?
The proposed method creates operational matrices with high accuracy that affect to accuracy and efficiency of the computational scheme directly. The operational matrices, by combining Legendre–Gauss quadrature rule and collocation method, reduce the given distributed-order time-fractional diffusion equation to a system of algebraic equations
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This page is a summary of: An improved numerical technique for distributed‐order time‐fractional diffusion equations, Numerical Methods for Partial Differential Equations, January 2021, Wiley, DOI: 10.1002/num.22731.
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