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On numerical solutions of one-dimensional nonlinear Burgers’ equation and convergence of the decomposition method
- Source :
-
Applied Mathematics & Computation . Nov2005, Vol. 170 Issue 1, p76-85. 10p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this paper, the one-dimensional nonlinear Burgers’ equation is solved by using the Adomian decomposition method (ADM). We prove the convergence of this method applied to the nonlinear Burgers’ equation. The approximate solution of this equation is calculated in the form of a series with easily computable components. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. In addition, the numerical results shows that our present method is more easy and accurate than other methods. The method performs well. [Copyright &y& Elsevier]
- Subjects :
- *DECOMPOSITION method
*OPERATIONS research
*MATHEMATICAL programming
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 170
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 19023940
- Full Text :
- https://doi.org/10.1016/j.amc.2004.10.069