Block by Block and Finite Difference Hybrid Method to Solve Linear and Nonlinear Volterra Integro-Partial Differential Equations

Abstract

In this paper a hybrid consistency of  Block by Block method and finite difference method was proposed to solve two-dimensional linear and nonlinear Volterra integro-partial differential equations. This hybridization  is based on using both finite difference forward formal method for derivatives required for the formulation and then applying Block by Block method. The numerical solution of  examples and the comparison  with  the corresponding exact solution are performed and the results  revealed that the method gives  good accuracy and an efficiency of this hybridization.