Numerical treatment of fractional order Cauchy reaction diffusion equations

被引：21

作者：

Ali, Sajjad ^{[1
]}

Bushnaq, Samia ^{[1
,2
]}

Shah, Kamal ^{[1
,3
]}

Arif, Muhammad ^{[1
]}

机构：

[1] Abdul Wali Khan Univ, Dept Math, Mardan, Pakistan

[2] Princess Sumaya Univ Technol, Dept Sci, Amman 11941, Jordan

[3] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 103卷

关键词：

Optimal homotopy asymptotic method; Fractional order Cauchy reaction diffusion equations; Analytical and approximate solution; HOMOTOPY ASYMPTOTIC METHOD;

D O I：

10.1016/j.chaos.2017.07.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, an approximate method for the numerical solutions of fractional order Cauchy reaction diffusion equations is considered. The concerned method is known as optimal homotopy asymptotic method (OHAM). With the help of the mentioned method, we handle approximate solutions to the aforesaid equation. Some test problems are provided at which the adapted technique has been applied. The comparison between absolute and exact solution are also provided which reveals that the adapted method is highly accurate. For tabulation and plotting, we use matlab software. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：578 / 587

页数：10

共 50 条

[1] Fractional differential quadrature techniques for fractional order Cauchy reaction-diffusion equations
Ragb, Ola
Wazwaz, Abdul-Majid
Mohamed, Mokhtar
Matbuly, M. S.
Salah, Mohamed
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) : 10216 - 10233
[2] AN ITERATIVE APPROACH FOR SOLVING FRACTIONAL ORDER CAUCHY REACTION-DIFFUSION EQUATIONS
Kumar, Manoj
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2023, 22 (03) : 19 - 32
[3] A novel analysis of the fractional Cauchy reaction-diffusion equations
Sarwe, Deepak Umarao
Raj, A. Stephan Antony
Kumar, Pushpendra
Salahshour, Soheil
INDIAN JOURNAL OF PHYSICS, 2024, : 1825 - 1837
[4] Approximate and Exact Solutions to Fractional Order Cauchy Reaction-Diffusion Equations by New Combine Techniques
Khan, Adnan
Liaqat, Muhammad Imran
Younis, Muhammad
Alam, Ashraful
JOURNAL OF MATHEMATICS, 2021, 2021
[5] Numerical simulation of fractional-order reaction–diffusion equations with the Riesz and Caputo derivatives
Kolade M. Owolabi
Neural Computing and Applications, 2020, 32 : 4093 - 4104
[6] Cauchy problem for fractional diffusion equations
Eidelman, SD
Kochubei, AN
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 199 (02) : 211 - 255
[7] Numerical solutions for fractional reaction-diffusion equations
Baeumer, Boris
Kovacs, Mihaly
Meerschaert, Mark M.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (10) : 2212 - 2226
[8] Numerical simulation of fractional-order reaction-diffusion equations with the Riesz and Caputo derivatives
Owolabi, Kolade M.
NEURAL COMPUTING & APPLICATIONS, 2020, 32 (08): : 4093 - 4104
[9] A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function
Kumar, Sunil
Ghosh, Surath
Jleli, Mohamed
Araci, Serkan
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (03) : 470 - 489
[10] A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations
Sunil Kumar
Amit Kumar
Syed Abbas
Maysaa Al Qurashi
Dumitru Baleanu
Advances in Difference Equations, 2020

← 1 2 3 4 5 →