In this paper we consider a class of singular two-point boundary value problem: (xαu')' = f(x, u), u(0) = A, u(1) = B, 0 < α < 1. The asymptotic expression of the spline finite difference solution for ...

We study the stability of finite difference schemes for hyperbolic initial boundary value problems in one space dimension. Assuming l 2 -stability for the discretization of the hyperbolic operator as ...

In this tutorial, I walk you through solving boundary value problems using the Shooting Method in Python. Learn how to apply this numerical technique to find solutions for differential equations with ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...