Existence and approximation of solutions for systems of first order differential equations

K. Al-Khaled

Existence and approximation of solutions for systems of first order differential equations

K. Al-Khaled^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The purpose of this paper is to present some general results concerning the existence of solutions for systems of differential equations. The existence results to be presented will be based on an effective procedure for constructing approximate solution. Namely, a numerical scheme using the Sinc function, in which it is shown that the solution converges exponentially. Furthermore, a numerical example and comparisons are presented to prove the validity of the suggested method.

Original language	English
Pages (from-to)	319-330
Number of pages	12
Journal	Nonlinear Dynamics and Systems Theory
Volume	18
Issue number	4
Publication status	Published - 2018
Externally published	Yes

Keywords

Existence of solutions
Fixed-point theory
Numerical solutions
Systems of differential equations

ASJC Scopus subject areas

Mathematical Physics
Applied Mathematics

Cite this

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abstract = "The purpose of this paper is to present some general results concerning the existence of solutions for systems of differential equations. The existence results to be presented will be based on an effective procedure for constructing approximate solution. Namely, a numerical scheme using the Sinc function, in which it is shown that the solution converges exponentially. Furthermore, a numerical example and comparisons are presented to prove the validity of the suggested method.",

keywords = "Existence of solutions, Fixed-point theory, Numerical solutions, Systems of differential equations",

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note = "Publisher Copyright: {\textcopyright} 2018 InforMath Publishing Group",

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AB - The purpose of this paper is to present some general results concerning the existence of solutions for systems of differential equations. The existence results to be presented will be based on an effective procedure for constructing approximate solution. Namely, a numerical scheme using the Sinc function, in which it is shown that the solution converges exponentially. Furthermore, a numerical example and comparisons are presented to prove the validity of the suggested method.

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KW - Fixed-point theory

KW - Numerical solutions

KW - Systems of differential equations

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ER -

Existence and approximation of solutions for systems of first order differential equations

Abstract

Keywords

ASJC Scopus subject areas

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