Numerical Solution to Poisson’s Equation

Abstract

This paper evaluates the performance of the bi-cubic B-spline collocation method. The bi-cubic B-spline collocation method is defined by using the recursive form of the bi-cubic B-spline basis function as basis functions. The suggested bi-cubic B-spline collocation method for Poisson's equations with Dirchlet's boundary condition problems is tested for viability and convergence. Absolute Relative Error analysis is also done by comparing with the exact solution for the convergence of the present method