Original scientific paper

A hybrid functions method for solving linear and non-linear systems of ordinary differential equations

Mohammadreza Doostdar ; Department of Mathematics, College of Science, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Persian Gulf Freeway, Tehran, Iran
Alireza Vahidi ; Department of Mathematics, College of Science, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Persian Gulf Freeway, Tehran, Iran
Tayebeh Damercheli ; Department of Mathematics, College of Science, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Persian Gulf Freeway, Tehran, Iran
Esmail Babolian ; Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, Iran

Abstract

In the present paper, we use a hybrid method to solve linear or non-linear systems of ordinary differential equations (ODEs). By using this method, these systems are reduced to a linear or non-linear system of algebraic equations. In error discussion of the suggested method, an upper bound of the error is obtained. Also, to survey the accuracy and the efficiency of the present method, some examples are solved and comparisons between the obtained results with those of several other methods are carried out.

Keywords

block-pulse functions, hybrid functions, Legendre polynomials, system of ordinary differential equations

Hrčak ID:

261513

URI

https://hrcak.srce.hr/261513

Publication date:

26.8.2021.

Visits: 906 *