An efficient method for solving Schlömilch-type integral equations

Year 2024, Volume: 5 Issue: 2, 72 - 78, 31.12.2024

Ahmet Altürk

https://doi.org/10.54559/jauist.1580693

Abstract

Schlömilch integral equations have many applications in terrestrial physics and serve as useful tools for various ionospheric problems. Recently, researchers have investigated Schlömilch-type integral equations. Unlike Schlömilch integral equations, there are only a few works in the literature that discuss the classification and solution methods for Schlömilch -type equations. In this study, we mainly focus on introducing an efficient method based on a modified homotopy approach for solving certain Schlömilch-type equations. To demonstrate the efficiency and simplicity of the proposed algorithm, we also present some extensions that enable the solution of important application-related problems.

Keywords

Fredholm integral equations, homotopy, perturbation theory, Rayleigh equation

Ethical Statement

No approval from the Board of Ethics is required.

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