Wavelet – Galerkin Technique for Neumann-Helmholtz-Poisson Boundary Value problems

This paper is concerned with Wavelet-Galerkin technique to solve Neumann Helmholtz and Neumann Poisson boundary value problems. In compare, to classical finite difference and finite element, Wavelet-Galerkin technique has very important advantages. In this paper, we have made an attempt to develop a technique for Wavelet-Galerkin solution of Neumann Helmholtz boundary value problem in one dimension and Neumann Poisson problem in two dimensions in parallel to the work of J. Besora [6], Mishra etl. [15]. The Taylors approach have been used to include Neumann condition in Wavelet-Galerkin setup for y + αu = f. The test examples show that some value of α the result match with the exact solution. Neumann Poisson BVP results show that the given technique is not fit to the solution for some parameter.