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

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.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Imtiaz Wasim, Muhammad Abbas, Muhammad Kashif Iqbal, Afzaal Mubashir Hayat, Exponential B-spline collocation method for solving the generalized Newell-Whitehead-Segel equation, Journal of Mathematics and Computer Science, 20 (2020), no. 4, 313--324

AMA Style

Wasim Imtiaz, Abbas Muhammad, Iqbal Muhammad Kashif, Hayat Afzaal Mubashir, Exponential B-spline collocation method for solving the generalized Newell-Whitehead-Segel equation. J Math Comput SCI-JM. (2020); 20(4):313--324

Chicago/Turabian Style

Wasim, Imtiaz, Abbas, Muhammad, Iqbal, Muhammad Kashif, Hayat, Afzaal Mubashir. "Exponential B-spline collocation method for solving the generalized Newell-Whitehead-Segel equation." Journal of Mathematics and Computer Science, 20, no. 4 (2020): 313--324


Keywords


MSC


References