A New Technique of Two Points Boundary Value Problems Using Hermite Spectral Approximation

Abstract

This paper is concerned with introducing Hermite spectral approximation as a new technique to solve two point boundary value problems. The principle idea of obtaining the numerical solutions for these equations are essentially developed from reducing the differential equations with their initial and/or boundary conditions to a system of integral equations in the equivalent unknown functions. Some sufficient illustrative examples are considered to demonstrate the validity and the applicability of the method