A Numerical Meshless Technique for the Solution of the two Dimensional Burger’s Equation Using Collocation Method
نویسنده
چکیده
In this paper we propose a meshfree technique for the numerical solution of the two dimensional Burger’s equation. Collocation method using the Radial Basis Functions (RBFs) is coupled with first order accurate finite difference approximation. Different types of RBFs are used for this purpose. Performance of the proposed method is successfully tested in terms of various error norms. In the case of non-availability of exact solution, performance of the new method is compared with the results obtained from the existing methods available in the literature. The elementary stability analysis is established theoretically and is also supported by numerical results.
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