Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials
This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving n...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/426213 |
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| _version_ | 1832553425399709696 |
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| author | Syed Tauseef Mohyud-Din Ahmet Yildirim M. M. Hosseini |
| author_facet | Syed Tauseef Mohyud-Din Ahmet Yildirim M. M. Hosseini |
| author_sort | Syed Tauseef Mohyud-Din |
| collection | DOAJ |
| description | This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He's polynomials (VIMHP) is very efficient, easier to implements, and more user friendly. Several examples are given to reconfirm the efficiency of the proposed VIMHP. |
| format | Article |
| id | doaj-art-cbf041cc7c5b4e569adea677b951e23e |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-cbf041cc7c5b4e569adea677b951e23e2025-02-03T05:54:02ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/426213426213Variational Iteration Method for Initial and Boundary Value Problems Using He's PolynomialsSyed Tauseef Mohyud-Din0Ahmet Yildirim1M. M. Hosseini2HITEC University, Taxila Cantonment, PakistanDepartment of Mathematics, Ege University, Bornova 35100, İzmir, TurkeyFaculty of Mathematics, Yazd University, P.O. Box 89195-74, Yazd, IranThis paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He's polynomials (VIMHP) is very efficient, easier to implements, and more user friendly. Several examples are given to reconfirm the efficiency of the proposed VIMHP.http://dx.doi.org/10.1155/2010/426213 |
| spellingShingle | Syed Tauseef Mohyud-Din Ahmet Yildirim M. M. Hosseini Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials International Journal of Differential Equations |
| title | Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials |
| title_full | Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials |
| title_fullStr | Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials |
| title_full_unstemmed | Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials |
| title_short | Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials |
| title_sort | variational iteration method for initial and boundary value problems using he s polynomials |
| url | http://dx.doi.org/10.1155/2010/426213 |
| work_keys_str_mv | AT syedtauseefmohyuddin variationaliterationmethodforinitialandboundaryvalueproblemsusinghespolynomials AT ahmetyildirim variationaliterationmethodforinitialandboundaryvalueproblemsusinghespolynomials AT mmhosseini variationaliterationmethodforinitialandboundaryvalueproblemsusinghespolynomials |