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

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

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...

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Bibliographic Details
Main Authors: Amit Prakash, Vijay Verma
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-02-01
Series:Frontiers in Physics
Subjects:
caputo fractional derivative
fractional newell-whitehead-segel equation
adomian decomposition method
fractional calculus
numerical method
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2019.00015/full
Description
Summary: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 proposed method are compared with exact solution for different values of fractional order α. Plotted graph illustrate the efficiency and accuracy of the proposed technique.AMS Mathematics Subject Classification (2010): 44A99, 35Q99.
ISSN:2296-424X

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