Convergence of hybrid methods for solving non-linear partial differential equations

Abstract

This paper is concerned with the numerical solution and convergence analysis of non-linear
partial differential equations using a hybrid method. The solution technique involves
discretizing the non-linear system of PDE to obtain a corresponding non-linear system of
algebraic difference equations to be solved at each time level. Several values of mesh size
chosen, the results show that the numerical results approach the exact solution as the mesh
size tends to zero; which confirmed convergence of the scheme.