Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems-Reference-Cited by-同舟云学术

Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems

Published:2024-04-15 Issue:1 Volume:14 Page:
ISSN:2045-2322
Container-title:Scientific Reports
language:en
Short-container-title:Sci Rep

Author:

Rida Saad. Z.,Arafa Anas. A. M.,Hussein Hussein. S.,Ameen Ismail G.,Mostafa Marwa. M. M.

Abstract

AbstractIn this paper, two problems involving nonlinear time fractional hyperbolic partial differential equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are presented. Collocation technique for shifted Chebyshev of the second kind with residual power series algorithm (CTSCSK-RPSA) is the main method for solving these problems. Moreover, error analysis theory is provided in detail. Numerical solutions provided using CTSCSK-RPSA are compared with existing techniques in literature. CTSCSK-RPSA is accurate, simple and convenient method for obtaining solutions of linear and nonlinear physical and engineering problems.

Funder

South Valley University

Publisher

Springer Science and Business Media LLC

Link

https://www.nature.com/articles/s41598-024-58493-x.pdf

Reference42 articles.

1. Arafa, A. A. M. & Rida, S. Z. Numerical solutions for some generalized coupled nonlinear evolution equations. Math. Comput. Model. 56, 268–277 (2012).

2. El-Sayed, A. M. A., Rida, S. Z. & Arafa, A. A. M. On the solutions of the generalized reaction-diffusion model for bacterial colony. Acta Applicandae Mathematicae. 110, 1501–1511 (2010).

3. Odibat, Z. M. & Momani, S. Application of variational iteration method to nonlinear differential equations of fractional order. Int. J. Nonlinear Sci. Numer. Simulat. 7, 27–34 (2006).

4. Turut, V. & Güzel, N. On solving partial differential equations of fractional order by using the variational iteration method and multivariate padé approximation. Eur. J. Pure Appl. Math. (2013).

5. Al-Khaled, K. Numerical solution of time-fractional partial differential equations using Sumudu decomposition method. Rom. J. Phys. 60, 99–110 (2015).