Abstract
Abstract
In this study, an efficient numerical method is applied to KdV-Burger-Fisher equation which is one of the dispersion-dissipation–reaction model. The present method is based on the collocation method whose weight functions are taken from the family of the Dirac delta functions in finite element methods. The element functions are selected as quintic trigonometric B-spline basis. The error norms L
2 and L
∞ are calculated to measure the efficiency of the method. Numerical solutions and error norms which are obtained via collocation method and trigonometric basis are presented in tables and simulations of the solutions are exhibited as well. Additionally, stability analysis is investigated.