Numerical Solution of Boundary Value Problems by Bernoulli Wavelet Based Galerkin Method

In this paper, I introduced a numerical approach to obtain the solution of boundary value problems (BVPs) utilizing the Bernoulli wavelet-based Galerkin method (BWGM). In this context, employed weight functions represented as Bernoulli wavelets, which serve as the basis elements enabling us to derive the numerical solutions for the BVPs. The numerical solutions obtained through this method are contrasted with those from established methods and the exact solutions. Several BVPs are selected to illustrate the efficiency and relevance of the proposed methodology.