A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation-Reference-Cited by-同舟云学术

A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation

Published:2023-09-18 Issue:2 Volume:9 Page:1271-1289
ISSN:2296-9020
Container-title:Journal of Elliptic and Parabolic Equations
language:en
Short-container-title:J Elliptic Parabol Equ

Author:

Kawala A. M.,Abdelaziz H. K.^ORCID

Abstract

AbstractThis paper presents a new numerical technique to approximate solutions of diffusion partial differential equations with Caputo fractional derivatives. We use a spectral collocation method based on Lucas polynomials for time fractional derivatives and a finite difference scheme in space. Stability and error analyses of the proposed technique are established. To demonstrate the reliability and efficiency of our new technique, we applied the method to a number of examples. The new technique is simply applicable, and the results show high efficiency in calculation and approximation precision.

Funder

STDF

Helwan University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s41808-023-00246-4.pdf

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