Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633972 | Applied Mathematics and Computation | 2008 | 10 Pages |
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.
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Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A.J. Khattak, Siraj-ul-Islam,