Galerkin Method for the Numerical Solution of Boundary Value Problems using Euler Wavelets

Abstract

In this paper, I introduced the Galerkin method for solving boundary value problems (BVPs) through the application of Euler wavelets. In this approach, Euler wavelets serve as the weight functions, which are considered as the basis elements for deriving the numerical solutions of the BVPs. The numerical solutions derived with this method are then contrasted with those from other established methods and the exact solutions. Some of BVPs are utilized to illustrate the effectiveness and suitability of the proposed method.

Cite as:

L. M. Angadi. (2024). Galerkin Method for the Numerical Solution of Boundary Value Problems using Euler Wavelets. Journal of Applied Mathematics and Statistical Analysis, 5(3), 9–18. 

https://doi.org/10.5281/zenodo.13682930