On a new reliable modification of homotopy analysis method
In this paper, a new modification of the homotopy analysis method (HAM) is presented and applied to homogeneous or non-homogeneous differential equations with constant or variable coefficients. A comparative study between the new modified homotopy analysis method (MHAM) and the classical HAM is cond...
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| Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2009-02, Vol.14 (2), p.409-423 |
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| container_issue | 2 |
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| container_title | Communications in nonlinear science & numerical simulation |
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| creator | Sami Bataineh, A. Noorani, M.S.M. Hashim, I. |
| description | In this paper, a new modification of the homotopy analysis method (HAM) is presented and applied to homogeneous or non-homogeneous differential equations with constant or variable coefficients. A comparative study between the new modified homotopy analysis method (MHAM) and the classical HAM is conducted. The main advantage of MHAM is that one can avoid the uncontrollability problems of the non-zero endpoint conditions encountered in the traditional HAM. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHAM. |
| doi_str_mv | 10.1016/j.cnsns.2007.10.007 |
| format | Article |
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| identifier | ISSN: 1007-5704 |
| ispartof | Communications in nonlinear science & numerical simulation, 2009-02, Vol.14 (2), p.409-423 |
| issn | 1007-5704 1878-7274 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Computer simulation Differential equations Ham Homotopy analysis method Mathematical models Modified homotopy analysis method Non-linear equations Nonlinearity |
| title | On a new reliable modification of homotopy analysis method |
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