Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems
A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. In...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/868934 |
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| _version_ | 1832553564676816896 |
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| author | Umer Saeed Mujeeb ur Rehman |
| author_facet | Umer Saeed Mujeeb ur Rehman |
| author_sort | Umer Saeed |
| collection | DOAJ |
| description | A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. In each iteration of quasilinearization technique, solution is updated by wavelet-Galerkin method. In order to demonstrate the applicability of proposed method, we consider the various nonlinear boundary value problems. |
| format | Article |
| id | doaj-art-a9b59ad400224be38dae7bc95968cd54 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a9b59ad400224be38dae7bc95968cd542025-02-03T05:53:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/868934868934Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value ProblemsUmer Saeed0Mujeeb ur Rehman1School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, PakistanA numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. In each iteration of quasilinearization technique, solution is updated by wavelet-Galerkin method. In order to demonstrate the applicability of proposed method, we consider the various nonlinear boundary value problems.http://dx.doi.org/10.1155/2014/868934 |
| spellingShingle | Umer Saeed Mujeeb ur Rehman Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems Abstract and Applied Analysis |
| title | Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems |
| title_full | Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems |
| title_fullStr | Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems |
| title_full_unstemmed | Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems |
| title_short | Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems |
| title_sort | wavelet galerkin quasilinearization method for nonlinear boundary value problems |
| url | http://dx.doi.org/10.1155/2014/868934 |
| work_keys_str_mv | AT umersaeed waveletgalerkinquasilinearizationmethodfornonlinearboundaryvalueproblems AT mujeeburrehman waveletgalerkinquasilinearizationmethodfornonlinearboundaryvalueproblems |