Numerical Method Based on the Lattice Boltzmann Model for the Kuramoto-Sivashinsky Equation
✍ Scribed by Lina Ye; Guangwu Yan; Tingting Li
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 575 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0885-7474
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In this paper, the quintic B-spline collocation scheme is implemented to find numerical solution of the Kuramoto-Sivashinsky equation. The scheme is based on the Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The accuracy of the proposed method
Chebyshev spectral collocation methods (known as El-Gendi method [S.E. El-Gendi, Chebyshev solution of differential integral and integro-differential equations, Comput. J. 12 (1969) 282-287; B. Mihaila, I. Mihaila, Numerical approximation using Chebyshev polynomial expansions: El-gendi's method revi