Numerical Method for Fractional Model of Newell-Whitehead-Segel Equation

被引：17
|
作者：
Prakash, Amit [1 ]
Verma, Vijay [2 ]
机构：
[1] Natl Inst Technol, Dept Math, Kurukshetra, Haryana, India
[2] Pt CLS Govt PG Coll, Dept Math, Karnal, Haryana, India
来源：
FRONTIERS IN PHYSICS | 2019年 / 7卷 / FEB期
关键词：
caputo fractional derivative; fractional newell-whitehead-segel equation; adomian decomposition method; fractional calculus; numerical method; HOMOTOPY PERTURBATION METHOD; DIFFERENTIAL-EQUATIONS;
D O I：
10.3389/fphy.2019.00015
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The aim of the present work is to devote a friendly approach based on Adomian decomposition method (ADM) to find the numerical solution of the time-fractional Newell-Whitehead-Segel equation. Newell-Whitehead-Segel equation plays an efficient role in non-linear systems which describe the appearance of the stripe patterns in two dimensional systems. The numerical results obtained by proposedmethod are compared with exact solution for different values of fractional order alpha. Plotted graph illustrate the efficiency and accuracy of the proposed technique.
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收藏
页数：10
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