Second-order two-point boundary value problems using the variational iteration algorithm-II
In this paper, we introduce an improved variational iteration method (VIM) for nonlinear second-order boundary value problems. The main advantage of this modification is that it can avoid additional computation in determining the unknown parameters in initial approximation when solving boundary valu...
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| Vydané v: | International journal of computer mathematics Ročník 88; číslo 6; s. 1201 - 1207 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Abingdon
Taylor & Francis
01.04.2011
Taylor & Francis Ltd |
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| ISSN: | 0020-7160, 1029-0265 |
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| Abstract | In this paper, we introduce an improved variational iteration method (VIM) for nonlinear second-order boundary value problems. The main advantage of this modification is that it can avoid additional computation in determining the unknown parameters in initial approximation when solving boundary value problems using the conventional VIM. Also, iterative sequences obtained using the improved VIM do satisfy the boundary conditions while iterative sequences obtained using conventional VIM may not, in general, satisfy the boundary conditions. Numerical results reveal that the improved method is accurate and efficient. |
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| AbstractList | In this paper, we introduce an improved variational iteration method (VIM) for nonlinear second-order boundary value problems. The main advantage of this modification is that it can avoid additional computation in determining the unknown parameters in initial approximation when solving boundary value problems using the conventional VIM. Also, iterative sequences obtained using the improved VIM do satisfy the boundary conditions while iterative sequences obtained using conventional VIM may not, in general, satisfy the boundary conditions. Numerical results reveal that the improved method is accurate and efficient. In this paper, we introduce an improved variational iteration method (VIM) for nonlinear second-order boundary value problems. The main advantage of this modification is that it can avoid additional computation in determining the unknown parameters in initial approximation when solving boundary value problems using the conventional VIM. Also, iterative sequences obtained using the improved VIM do satisfy the boundary conditions while iterative sequences obtained using conventional VIM may not, in general, satisfy the boundary conditions. Numerical results reveal that the improved method is accurate and efficient. [PUBLICATION ABSTRACT] |
| Author | Wu, Boying Li, Xiuying |
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| SubjectTerms | Accuracy Algorithms Approximation Boundary conditions Boundary value problems Computer simulation improved variational iteration method Iterative methods Mathematical analysis Mathematical models Mathematical problems nonlinear Nonlinearity |
| Title | Second-order two-point boundary value problems using the variational iteration algorithm-II |
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