On the Numerical Solution of Evolution Equation via Soliton Kernels

Yıl 2015, Cilt: 28 Sayı: 4, 631 - 637, 05.01.2015

Marjan Uddin İrshad Shah Hazrat Ali

Öz

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.

Anahtar Kelimeler

Soliton kernels, Meshless technique, RBF-PS scheme, evolution equations

Soliton Kernels

Öz

Kaynakça

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