On the Numerical Solution of Evolution Equation via Soliton Kernels

Authors : Marjan Uddin, Irshad Ali Shah, Hazrat ALİ

Pages : 631-637

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Publication Date : 2015-12-16

Article Type : Other Papers

Abstract :In application of kernel-based methods, some particular types of PDEs need some special types of kernels for their approximations. For example some nonlinear evolution equations describing wave processes in dispersive and dissipative media. These models may have soliton like solutions for example KdV equation. In such a situation some special types of kernels may perform better than standards kernels for example soliton kernels.
Keywords : Soliton kernels, Meshless technique, RBF PS scheme, evolution equations