A fractional Temimi-Ansari method (FTAM) with convergence analysis for solving physical equations

被引：13

作者：

Arafa, Anas A. M. ^{[1
,2
]}

El-Sayed, Ahmed M. A. ^{[3
]}

SH. Hagag, Ahmed M. ^{[1
,4
]}

机构：

[1] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said, Egypt

[2] Qassim Univ, Coll Sci & Arts, Dept Math, Al Mithnab, Saudi Arabia

[3] Alexandria Univ, Dept Math, Fac Sci, Alexandria, Egypt

[4] Sinai Univ, Dept Basic Sci, Fac Engn, Ismailia, Egypt

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 08期

关键词：

Benjamin-Bona-Mahony-burgers (BBMB) equation; fractional calculus; KdV-burgers equation; numerical results; APPROXIMATE EXPLICIT SOLUTIONS; NONLINEAR BBMB EQUATIONS; DIFFUSION-EQUATIONS; NUMERICAL-SOLUTIONS; BURGERS;

D O I：

10.1002/mma.7212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to describe the new fractional Temimi-Ansari method (FTAM) for the KdV-Burgers equation and the Benjamin-Bona-Mahoney-Burger equation (BBMB) with time fractional order. Convergence of the presented method has been successfully achieved. This method does not need any assumptions for nonlinear terms. FTAM with time fractional order is demonstrated to be a very simple and effective approach to solving nonlinear fractional problems. The accuracy and efficiency of FTAM has been demonstrated by studying the convergence of this technique.

引用

页码：6612 / 6629

页数：18

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