Singular Two - Point Boundary Value Problems With Spline Finite Difference Methods

Abstract

The focus of this article would be to use various numerical techniques and discover the numerical performance of singular two-point boundary value problems. This is certainly done in a comparative manner, mostly by using the application of finite element methods. The calculated solutions have been discussed extensively in order to fully understand the conduct of the physical processes represented by the replica equation. We propose a method for resolving a class of linear and non - linear singular two-point boundary value problems that is both effective and efficient. The outcome reveal that the method is exceedingly successful straightforward, and simple.