Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method

Document Type : Special issue editorial

Authors
E Abdolmaleki
H Saberi Najafi
Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran.
10.22075/ijnaa.2019.4428
Abstract
The Newell-Whitehead-Segel equation is an important model arising in biology, finance, fluid mechanics and some more processes. Various researchers worked on approximate solution of this model by using different methods. In this paper, the Newell-Whitehead-Segel equation of fractional order is solved by using a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM). The illustrative examples are presented to demonstrate the accuracy and effectiveness of the proposed method.
Keywords
Functional residual power series
Newell-Whitehead-Segel equation of fractional order
Caputo fractional derivative

  • Receive Date 20 June 2019
  • Revise Date 16 August 2019
  • Accept Date 28 September 2020

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