Numerical Solutions for Nonlocal Problem of Partial Differential Equations with Deviated Boundary Conditions

Abstract

In this work, we propose a model of nonlocal partial differential equation (PDE) with deviated type function in the boundary condition. This model is solved numerically by finite difference method (FDM) using variable space grid (VSG) technique. The results obtained by this method are in a good agreement with the solution of the corresponding rectangular domain problem. Also, we investigated the stability analysis of problem technique by using von-Neumann method.