Modified extended cubic B-spline collocation technique for Fisher's type equations

  • Neeraj Dhiman
  • Mohammad Tamsir

Abstract

A collocation technique is proposed by modifying the extended cubic B-spline (ECB) basis functions. The technique is used for approximation of the Fisher's type equations (FTEs). The linearization of the nonlinear terms is done by using Taylor series expansion. The discretization of FTEs gives linear systems of equations. Four examples are considered to analyze the method. The obtained results point out a close relation with the exact solutions and produce better results than the results achieved by some other methods. The stability of the system is also discussed.

Published
2019-05-26