Modified Integral Homotopy Expansive Method to Find Power Series Solutions of Linear Ordinary Differential Equations about Ordinary Points

Autor: Uriel Filobello-Nino, Hector Vazquez-Leal, Jesus Huerta-Chua, Victor Manuel Jimenez-Fernandez, Agustin L. Herrera-May, Darwin Mayorga-Cruz
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2022 (2022)
Druh dokumentu: article
ISSN: 1607-887X
04542908
DOI: 10.1155/2022/1016251
Popis: This article presents the Modified Integral Homotopy Expansive Method (MIHEM) which is utilized to find power series solutions for linear ordinary differential equations about ordinary points. This method is a modification of the integral homotopy expansive method. The proposal consists in providing a versatile, easy to employ and systematic method. Thus, we will see that MIHEM requires only of elementary integrations and that the initial function will be always the same for the linear ordinary differential equations of the same order which contributes to ease the procedure. Therefore, it is expected that this article contributes to change the idea that an effective method has to be long and difficult, such as it is the case of Power Series Method (PSM). This method expresses a differential equation as an integral equation, and the integrand of the equation in terms of a homotopy. We will see along this work the convenience of this procedure.
Databáze: Directory of Open Access Journals
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