Journal Article10.1016/J.CNSNS.2009.11.012
Quintic B-spline collocation method for numerical solution of the Kuramoto–Sivashinsky equation
R. C. Mittal,Geeta Arora +1 more
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TL;DR: In this article, the quintic B-spline collocation scheme is implemented to find numerical solution of the Kuramoto-Sivashinsky equation, and the accuracy of the proposed method is demonstrated by four test problems.
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About: This article is published in Communications in Nonlinear Science and Numerical Simulation. The article was published on 01 Oct 2010. The article focuses on the topics: Collocation method & Quintic function.
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Citations
Numerical solution of the coupled viscous Burgers’ equation
R. C. Mittal,Geeta Arora +1 more
TL;DR: In this paper, a numerical method is proposed for the numerical solution of a coupled system of viscous Burgers' equation with appropriate initial and boundary conditions, by using the cubic B-spline collocation scheme on the uniform mesh points.
120
Numerical solutions of the generalized Kuramoto–Sivashinsky equation using B-spline functions
Mehrdad Lakestani,Mehdi Dehghan +1 more
TL;DR: In this paper, a numerical technique based on the finite difference and collocation methods is presented for the solution of generalized Kuramoto-Sivashinsky (GKS) equation, where derivative matrices between any two families of B-spline functions are presented and are utilized to reduce the problem of GKS equation to linear algebraic equations.
97
The Exponential Cubic B-Spline Collocation Method for the Kuramoto-Sivashinsky Equation
Ozlem Ersoy,Idiris Dag +1 more
TL;DR: In this article, the authors used the collocation method based on the exponential cubic B-spline approximation together with the Crank Nicolson to solve the Kuramoto-Sivashinsky (KS) equation.
Numerical solution of Burgers’ equation by cubic Hermite collocation method
TL;DR: Numerical solution of the non-linear Burgers’ equation are obtained by using cubic Hermite collocation method (CHCM), which is efficient, robust and reliable even for high Reynolds numbers, for which the exact solution fails.
38
Numerical Method Using Cubic Trigonometric B-Spline Technique for Nonclassical Diffusion Problems
TL;DR: In this article, a two-time level implicit technique based on cubic trigonometric B-spline is proposed for the approximate solution of a nonclassical diffusion problem with nonlocal boundary constraints.
References
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