Convergence of variational iteration method for solving singular partial differential equations of fractional order
We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum ab...
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my.usim-80962017-05-15T03:31:21Z Convergence of variational iteration method for solving singular partial differential equations of fractional order Asma Ali, Elbeleze, Bachok M., Taib, Adel, Kilicman, We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum absolute truncated error of the series solution. A comparison between the results of VIM solutions and exact solution is given. The fractional derivatives are described in Caputo sense. 2015-05-18T03:07:40Z 2015-05-18T03:07:40Z 2014-01-01 Article 1085-3375 1687-0409 http://ddms.usim.edu.my/handle/123456789/8096 http://www.hindawi.com/journals/aaa/2014/518343/ en Hindawi Publishing Corporation |
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We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum absolute truncated error of the series solution. A comparison between the results of VIM solutions and exact solution is given. The fractional derivatives are described in Caputo sense. |
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Article |
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Asma Ali, Elbeleze, Bachok M., Taib, Adel, Kilicman, |
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Asma Ali, Elbeleze, Bachok M., Taib, Adel, Kilicman, Convergence of variational iteration method for solving singular partial differential equations of fractional order |
author_facet |
Asma Ali, Elbeleze, Bachok M., Taib, Adel, Kilicman, |
author_sort |
Asma Ali, Elbeleze, |
title |
Convergence of variational iteration method for solving singular partial differential equations of fractional order |
title_short |
Convergence of variational iteration method for solving singular partial differential equations of fractional order |
title_full |
Convergence of variational iteration method for solving singular partial differential equations of fractional order |
title_fullStr |
Convergence of variational iteration method for solving singular partial differential equations of fractional order |
title_full_unstemmed |
Convergence of variational iteration method for solving singular partial differential equations of fractional order |
title_sort |
convergence of variational iteration method for solving singular partial differential equations of fractional order |
publisher |
Hindawi Publishing Corporation |
publishDate |
2015 |
url |
http://ddms.usim.edu.my/handle/123456789/8096 http://www.hindawi.com/journals/aaa/2014/518343/ |
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1645152339922780160 |
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13.214268 |