Residual power series method for solving nonlinear reaction-diffusion-convection problems-Reference-Cited by-同舟云学术

Residual power series method for solving nonlinear reaction-diffusion-convection problems

Published:2021-01-01 Issue:3 Volume:39 Page:177-188
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Khader Maisa¹,DarAssi Mahmoud H.¹^ORCID

Affiliation:

1. Princess Sumaya University for Technology

Abstract

In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference26 articles.

1. 1. Abu Arqub O., Series solution of fuzzy differential equations under strongly generalized differentiability, Journal of Advanced Research in Applied Mathematics, 5, 1-52, (2013).

2. 2. Abu Arqub O., El-Ajou A., Bataineh A, et al. A representation of the exact solution of generalized Lane Emden equations using a new analytical method, Abstract Applied Analysis: Article ID 378593, (2013).

3. 3. Abu Arqub O., El-Ajou A., Al Zhour Z., et al., Multiple solutions of nonlinear boundary value problems of fractional order, a new analytic iterative technique, Entropy 16: 471-493, (2014).

4. 4. Berryman J. G., Holland C. J., Nonlinear diffusion problems arising in plasma physics, Physical Review Letters, 40 (26): 1720-1722, (1978).

5. 5. Bertsch M., Asymptotic behavior of solutions of a nonlinear diffusion equation, SIAM Journal on Applied Mathematics, 42 (1): 66-76, (1982).

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new identification of Lagrange multipliers to study solutions of nonlinear Caputo–Fabrizio fractional problems;Partial Differential Equations in Applied Mathematics;2024-06

2. Implementation of Yang residual power series method to solve fractional non-linear systems;AIMS Mathematics;2023

3. Exact solution of nonlinear time-fractional reaction-diffusion-convection equation via a new coupling method;INT J NONLINEAR ANAL;2022