1. A comparative study of numerical solutions of a class of KdV equation
- Author
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Khattak, A.J. and Siraj-ul-Islam
- Subjects
- *
NONLINEAR theories , *COLLOCATION methods , *NUMERICAL solutions to differential equations , *NUMERICAL solutions to integral equations - Abstract
Abstract: In this work, we present a comparative study of meshless method, modified Bernstein polynomials (BP) and B-Spline finite element method (BS-FEM) for the numerical solution of two different models of Korteweg–de Vries (KdV) equation. The multiquadric (MQ) and Gaussian (GA) Radial basis functions (RBFs) are used due to exponential convergence rate. Excellent agreement is found between exact and RBFs solutions and same accuracy is obtained as Bernstein polynomials and B-Spline finite element method. [Copyright &y& Elsevier]
- Published
- 2008
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