A Hybrid Functions Method for Solving Linear and Non-linear Systems of Ordinary Differential Equations

Mohammadreza Doostdar; Alireza Vahidi; Tayebeh Damercheli; Esmail Babolian

Vol. 26 No. 2 (2021)

Regular Articles

A Hybrid Functions Method for Solving Linear and Non-linear Systems of Ordinary Differential Equations

Published 2021-07-19

Mohammadreza Doostdar
Alireza Vahidi
Tayebeh Damercheli
Esmail Babolian

Mohammadreza Doostdar
Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran

Alireza Vahidi
Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran

Tayebeh Damercheli
Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran

Esmail Babolian
Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran, 1561836314, Iran

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Abstract

In the present paper, we use a hybrid method to solve linear or non-linear
systems of ordinary dierential 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 eciency of the present method, some examples will be solved and comparisons between the obtained results with those of several other methods are carried out.

Keywords

systems of ordinary differential equations, hybrid functions method

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