Differential quadrature solutions of the generalized Burgers-Fisher equation with a strong stability preserving high-order time integration (Q424047)

Summary: 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 are used. The proposed technique successfully works to give reliable results in the form of numerical approximation converging very rapidly. The computed results are compared with the exact solution to show the required accuracy of the method. The approximate solutions to the nonlinear equations are obtained. The approach is seen to be a very reliable alternative to the rival techniques for realistic problems.