New Iterative Method Based on Laplace Decomposition Algorithm
We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations. We have implemented this method for the solutions o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/286529 |
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| _version_ | 1832550736348577792 |
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| author | Sabir Widatalla M. Z. Liu |
| author_facet | Sabir Widatalla M. Z. Liu |
| author_sort | Sabir Widatalla |
| collection | DOAJ |
| description | We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations. We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis. |
| format | Article |
| id | doaj-art-f2a64147a6ba48d38fd71cb277aee7b8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f2a64147a6ba48d38fd71cb277aee7b82025-02-03T06:06:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/286529286529New Iterative Method Based on Laplace Decomposition AlgorithmSabir Widatalla0M. Z. Liu1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations. We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis.http://dx.doi.org/10.1155/2013/286529 |
| spellingShingle | Sabir Widatalla M. Z. Liu New Iterative Method Based on Laplace Decomposition Algorithm Journal of Applied Mathematics |
| title | New Iterative Method Based on Laplace Decomposition Algorithm |
| title_full | New Iterative Method Based on Laplace Decomposition Algorithm |
| title_fullStr | New Iterative Method Based on Laplace Decomposition Algorithm |
| title_full_unstemmed | New Iterative Method Based on Laplace Decomposition Algorithm |
| title_short | New Iterative Method Based on Laplace Decomposition Algorithm |
| title_sort | new iterative method based on laplace decomposition algorithm |
| url | http://dx.doi.org/10.1155/2013/286529 |
| work_keys_str_mv | AT sabirwidatalla newiterativemethodbasedonlaplacedecompositionalgorithm AT mzliu newiterativemethodbasedonlaplacedecompositionalgorithm |