Analytical Approach to Fractional Order Newell-Whitehead-Segel Equations by Sumudu transform Iterative Method

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Published: Sep 15, 2023
Keywords:
Sumudu Transform, Iterative Method, Caputo fractional Derivative, Newell-Whitehead-Segel Equations, Fractional Differential Equations

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R. K. Bairwa
Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
Priyanka
Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
Sanjeev Tyagi
Department of Mathematics, Government College, Thanagazi (Alwar) -301022, Rajasthan, India

Abstract

The present paper aims to solve the linear and nonlinear time-fractional Newell-Whitehead-Segel equations using the Sumudu transform iterative method. The time-fractional derivatives are considered in the Caputo sense. In addition, the approximate analytical solutions derived in series form are graphically represented in this investigation, and the solution graphs show that the approximate solution is closely related to the exact solution.

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R. K. Bairwa, Priyanka, Sanjeev Tyagi. Analytical Approach to Fractional Order Newell-Whitehead-Segel Equations by Sumudu transform Iterative Method. J. Int. Acad. Phys. Sci. [Internet]. 2023 Sep. 15 [cited 2024 May 18];27(3):275-84. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/889
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Vol. 27 No. 3 (2023): Table of Content
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