The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equation
This paper outlines the coupling of variational iteration method (VIM) with Adomian decomposition method (ADM) for solving nonlinear mixed Volterra-Fredholm integro-diffierential equation (V-FIDE), this method is called variational Adomian decomposition method (VADM). Some numerical examples are int...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-01-01
|
| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S101836471730455X |
| _version_ | 1811265333020852224 |
|---|---|
| author | F.A. Hendi M.M. Al-Qarni |
| author_facet | F.A. Hendi M.M. Al-Qarni |
| author_sort | F.A. Hendi |
| collection | DOAJ |
| description | This paper outlines the coupling of variational iteration method (VIM) with Adomian decomposition method (ADM) for solving nonlinear mixed Volterra-Fredholm integro-diffierential equation (V-FIDE), this method is called variational Adomian decomposition method (VADM). Some numerical examples are introduced to verify that the method handles the difficulty of nonlinear term, red reduces the computational size and accelerates the convergence. Keywords: Volterra-Fredholm integro-differential equation, Variational iteration method (VIM), Variational Adomian decomposition method (VADM) |
| first_indexed | 2024-04-12T20:20:48Z |
| format | Article |
| id | doaj.art-ae3d6f600f2643a59778ba89ebfc3621 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-04-12T20:20:48Z |
| publishDate | 2019-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-ae3d6f600f2643a59778ba89ebfc36212022-12-22T03:18:00ZengElsevierJournal of King Saud University: Science1018-36472019-01-01311110113The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equationF.A. Hendi0M.M. Al-Qarni1Department of Mathematics Faculty of Science, King Abdul Aziz University, Jeddah, Saudi ArabiaDepartment of Mathematics Faculty of Science, King Khalid University, Abha, Saudi Arabia; Corresponding author.This paper outlines the coupling of variational iteration method (VIM) with Adomian decomposition method (ADM) for solving nonlinear mixed Volterra-Fredholm integro-diffierential equation (V-FIDE), this method is called variational Adomian decomposition method (VADM). Some numerical examples are introduced to verify that the method handles the difficulty of nonlinear term, red reduces the computational size and accelerates the convergence. Keywords: Volterra-Fredholm integro-differential equation, Variational iteration method (VIM), Variational Adomian decomposition method (VADM)http://www.sciencedirect.com/science/article/pii/S101836471730455X |
| spellingShingle | F.A. Hendi M.M. Al-Qarni The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equation Journal of King Saud University: Science |
| title | The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equation |
| title_full | The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equation |
| title_fullStr | The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equation |
| title_full_unstemmed | The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equation |
| title_short | The variational Adomian decomposition method for solving nonlinear two- dimensional Volterra-Fredholm integro-differential equation |
| title_sort | variational adomian decomposition method for solving nonlinear two dimensional volterra fredholm integro differential equation |
| url | http://www.sciencedirect.com/science/article/pii/S101836471730455X |
| work_keys_str_mv | AT fahendi thevariationaladomiandecompositionmethodforsolvingnonlineartwodimensionalvolterrafredholmintegrodifferentialequation AT mmalqarni thevariationaladomiandecompositionmethodforsolvingnonlineartwodimensionalvolterrafredholmintegrodifferentialequation AT fahendi variationaladomiandecompositionmethodforsolvingnonlineartwodimensionalvolterrafredholmintegrodifferentialequation AT mmalqarni variationaladomiandecompositionmethodforsolvingnonlineartwodimensionalvolterrafredholmintegrodifferentialequation |