Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method

Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method

In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standa...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Hosen, Md Alal
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/47994/
http://irep.iium.edu.my/47994/
http://irep.iium.edu.my/47994/1/Proceeding_of_ASET15-Solving_linear_and_non-Linear_stiff_system_of_ordinary_differential_equations_by_multistage_Adomian_decomposition_method.pdf
id iium-47994
recordtype eprints
spelling iium-479942016-05-11T03:36:45Z http://irep.iium.edu.my/47994/ Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method Chowdhury, Md. Sazzad Hossien Hashim, Ishak Hosen, Md Alal QA Mathematics In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The MADM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) and the classical ADM demonstrate the limitations of ADM and promising capability of the MADM for solving stiff initial value problems (IVPs). 2015-12-28 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/47994/1/Proceeding_of_ASET15-Solving_linear_and_non-Linear_stiff_system_of_ordinary_differential_equations_by_multistage_Adomian_decomposition_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Hosen, Md Alal (2015) Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method. In: The Third Intl. Conf. On Advances in Applied Science and Environmental Technology -ASET 2015, 28-29 December 2015, Bangkok, Thailand . doi: 10.15224/ 978-1-63248-084-2-46
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Hosen, Md Alal
Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
description In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The MADM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) and the classical ADM demonstrate the limitations of ADM and promising capability of the MADM for solving stiff initial value problems (IVPs).
format Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Hosen, Md Alal
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Hosen, Md Alal
author_sort Chowdhury, Md. Sazzad Hossien
title Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
title_short Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
title_full Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
title_fullStr Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
title_full_unstemmed Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
title_sort solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
publishDate 2015
url http://irep.iium.edu.my/47994/
http://irep.iium.edu.my/47994/
http://irep.iium.edu.my/47994/1/Proceeding_of_ASET15-Solving_linear_and_non-Linear_stiff_system_of_ordinary_differential_equations_by_multistage_Adomian_decomposition_method.pdf
first_indexed 2023-09-18T21:08:12Z
last_indexed 2023-09-18T21:08:12Z
_version_ 1777411075784835072

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