Use of various finite difference methods for solving PDE

Abstract

The finite difference method has long been a standard numerical approach for solving partial differential equations. However, its widespread application is accompanied by inherent limitations affecting accuracy and efficiency. This research will compare the accuracy of various method like Bender-Schmidt Method, Crank -Nicholson Difference Method, Laasonen Method and Du Fort & Frankel Method, in completing numerical solutions of partial differential equations, which is limited to certain boundary condition.