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On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation

Ghanim M. S. Abdullah Department of Mathematic · University of Mosul, College of Education for Pure Science · 2013

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Author / responsible party
Ghanim M. S. Abdullah Department of Mathematic
Publisher
University of Mosul, College of Education for Pure Science
Year
2013
ISSN
1812-125X
ISSN
1812-125X
Language
English
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Abstract<br /> Stability properties of implicit – explicit (IMEX) of linear multistep methods for ordinary differential equations are analyzed on the basis of stability regions defined by using scalar test equations. This study is closely related to the stability analysis of the standard linear multistep methods for ordinary differential equation.<br /> In this paper we give two idea to extend the stability region for the second – order IMEX method, also have extended the region IMEX Euler method, the simplest IMEX method of first order, numerical results

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APA 7

Ghanim M. S. Abdullah Department of Mathematic (2013). On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation. https://doi.org/10.33899/edusj.2013.89642

MLA

Ghanim M. S. Abdullah Department of Mathematic. "On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation." 2013. https://doi.org/10.33899/edusj.2013.89642.

Chicago

Ghanim M. S. Abdullah Department of Mathematic. 2013. "On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation.". https://doi.org/10.33899/edusj.2013.89642.

Harvard

Ghanim M. S. Abdullah Department of Mathematic 2013, On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation, University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2013.89642 [Accessed 8 Aug. 2026].

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Title
On Extension the Stability Region of Implicit-Explicit Linear Multistep Methods for Ordinary Differential Equation
Author / contributors
Ghanim M. S. Abdullah Department of Mathematic
Publisher
University of Mosul, College of Education for Pure Science
Publication year
2013
ISSN
1812-125X
ISSN
1812-125X
Language
English

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stability region; implicit-explicit linear multistep; differential equation
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