An application of cubic B-Spline finite element method for the Burgers` equation
Keyword(s):
B Spline
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It is difficult to achieve exact solution of non-linear PDE, directly. Sometimes, it is possible to convert non-linear PDE into equivalent linear PDE by applying a convenient transformation. Hence, Burgers? equation replaces with heat equation by means of the Hope-Cole transformation. In this study, Burgers? equation was converted to a set of non-linear ODE by keeping non-linear structure of Burgers? equation. In this case, solutions for each of the non-linear ODE were obtained by the help of the cubic B-spline finite element method. Model problems were considered to verify the efficiency of this method. Agreement of the solutions was shown with graphics and tables.
2013 ◽
Vol 36
(17)
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pp. 2403-2415
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2013 ◽
Vol 29
(5)
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pp. 503-510
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2004 ◽
Vol 167
(1)
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pp. 21-33
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2006 ◽
Vol 174
(2)
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pp. 884-896
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2001 ◽
Vol 191
(3-5)
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pp. 511
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2018 ◽
Vol 19
(5)
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pp. 340-350