Numerical solutions of nonlinear Burgers’ equation with modified cubic B-splines collocation method
✍ Scribed by R.C. Mittal; R.K. Jain
- Book ID
- 113440191
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 674 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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In this paper, for the numerical solution of Burgers' equation, we give two B-spline finite element algorithms which involve a collocation method with cubic B-splines and a Galerkin method with quadratic B-splines. In time discretization of the equation, Taylor series expansion is used. In order to
The modified regularized long wave (MRLW) equation is solved numerically by collocation method using cubic B-splines finite element. A linear stability analysis of the scheme is shown to be marginally stable. Three invariants of motion are evaluated to determine the conservation properties of the al