Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic Systems

This paper focuses on a hybrid multistep and its twin one-leg methods and implementing them on implicit mixed differential algebraic equations. The orders of convergence for the above methods are discussed and numerical tests are solved.

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Main Authors: Iman H. Ibrahim, Fatma M. Yousry
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/609015
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author Iman H. Ibrahim
Fatma M. Yousry
author_facet Iman H. Ibrahim
Fatma M. Yousry
author_sort Iman H. Ibrahim
collection DOAJ
description This paper focuses on a hybrid multistep and its twin one-leg methods and implementing them on implicit mixed differential algebraic equations. The orders of convergence for the above methods are discussed and numerical tests are solved.
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institution Kabale University
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language English
publishDate 2015-01-01
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series Abstract and Applied Analysis
spelling doaj-art-59abf187f3ad43418e274090395c2e862025-02-03T01:11:36ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/609015609015Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic SystemsIman H. Ibrahim0Fatma M. Yousry1Faculty of Women for Arts, Science, and Education, Ain Shams University, Cairo 11341, EgyptFaculty of Women for Arts, Science, and Education, Ain Shams University, Cairo 11341, EgyptThis paper focuses on a hybrid multistep and its twin one-leg methods and implementing them on implicit mixed differential algebraic equations. The orders of convergence for the above methods are discussed and numerical tests are solved.http://dx.doi.org/10.1155/2015/609015
spellingShingle Iman H. Ibrahim
Fatma M. Yousry
Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic Systems
Abstract and Applied Analysis
title Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic Systems
title_full Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic Systems
title_fullStr Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic Systems
title_full_unstemmed Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic Systems
title_short Convergence of One-Leg Hybrid Methods for Implicit Mixed Differential Algebraic Systems
title_sort convergence of one leg hybrid methods for implicit mixed differential algebraic systems
url http://dx.doi.org/10.1155/2015/609015
work_keys_str_mv AT imanhibrahim convergenceofoneleghybridmethodsforimplicitmixeddifferentialalgebraicsystems
AT fatmamyousry convergenceofoneleghybridmethodsforimplicitmixeddifferentialalgebraicsystems