Exponential B-spline collocation method for solving the generalized Newell-Whitehead-Segel equation

Volume 20, Issue 4, pp 313--324 http://dx.doi.org/10.22436/jmcs.020.04.05

Publication Date: March 05, 2020 Submission Date: October 16, 2019 Revision Date: December 30, 2019 Accteptance Date: January 16, 2020

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Authors

Imtiaz Wasim - Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan. Muhammad Abbas - Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan. Muhammad Kashif Iqbal - Department of Mathematics, Government College University, Faisalabad, 38000, Pakistan. Afzaal Mubashir Hayat - Department of Mathematics, National College of Business Administration \(\&\) Economics, Lahore, 54660, Pakistan.

Abstract

In this work, we present a collocation method based on exponential basis spline functions for solving generalized Newell-Whitehead-Segel equation. The time derivative is discretized by finite difference scheme and the exponential basis spline functions are employed to interpolate spatial derivatives. The convergence and stability of the proposed algorithm are established. Numerical results demonstrate the accuracy of the proposed method.

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Keywords

• Non-linear generalized Newell-Whitehead-Segel equation
• exponential B-spline collocation method
• convergence
• stability

MSC

•  65M70
•  65Z05
•  65N12
•  65D05
•  65D07

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