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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| Format: | Proceeding Paper |
| Language: | English |
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2015
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| Online Access: | 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 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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). |
| first_indexed | 2025-11-14T16:18:06Z |
| format | Proceeding Paper |
| id | iium-47994 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:18:06Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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 |
| 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 |
| title | 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_short | 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 |
| topic | QA Mathematics |
| 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 |