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

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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-09-04
DOI
https://doi.org/10.5281/zenodo.13682929
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Zenodo (CERN European Organization for Nuclear Research)
Fractional Differential Equations Solutions
article

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

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 55%
Fractional Differential Equations Solutions
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Galerkin Method for the Numerical Solution of Boundary Value Problems using Euler Wavelets · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS