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Galerkin finite element method for forced Burgers' equation | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 7، شماره 4، اسفند 2019، صفحه 445-467 اصل مقاله (521.11 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.13259.1265 | ||
| نویسندگان | ||
| Sunil S Kumbhar* 1؛ Sarita Thakar2 | ||
| 1Department of Mathematics, Shivaji University, Kolhapur (Maharashtra), India | ||
| 2Department of Mathematics, Shivaji University, Kollapur (Maharashtra), India | ||
| چکیده | ||
| In this paper second order explicit Galerkin finite element method based on cubic B-splines is constructed to compute numerical solutions of one dimensional nonlinear forced Burgers' equation. Taylor series expansion is used to obtain time discretization. Galerkin finite element method is set up for the constructed time discretized form. Stability of the corresponding linearized scheme is studied by using von Neumann analysis. The accuracy, efficiency, applicability and reliability of the present method is demonstrated by comparing numerical solutions of some test examples obtained by the proposed method with the exact and numerical solutions available in literature. | ||
| کلیدواژه‌ها | ||
| Forced Burgers' equation؛ cubic B-splines؛ Galerkin Finite Element Method؛ Taylor series؛ von Neumann analysis | ||
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