Differential Quadrature Solutions of the Generalized Burgers–Fisher Equation with a Strong Stability Preserving High-Order Time Integration

Mathematical and Computational Applications

Sari, Murat¹ 

关键词: Generalized Burgers-Fisher Equation;    Differential Quadrature Method;    Nonlinear PDE;    Strong Stability Preserving Runge-Kutta;   

DOI  :  10.3390/mca16020477

学科分类：计算数学

来源: mdpi

【 摘 要 】

Numerical solutions of the generalized Burgers-Fisher equation are presented based on a polynomial-based differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a third-order strong stability preserving Runge-Kutta scheme in time have been used. The proposed technique successfully worked to give reliable results in the form of numerical approximation converging very rapidly. The computed results have been compared with the exact solution to show the required accuracy of the method. The approximate solutions to the nonlinear equations were obtained. The approach is seen to be a very reliable alternative to the rival techniques for realistic problems.

【 授权许可】

CC BY