Abstract

APPROXIMATE SOLUTION OF NON-HOMOGENEOUS PARTIAL DIFFERENTIAL EQUATION VIA IMQ RADIAL BASIS FUNCTION

Issa, K* and Yusuf, K. N. +

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Abstract In recent years radial basis functions (RBFs) has play an important role in approximating functions, partial differential equations (PDEs). In this paper, the problem of solving non-homogeneous partial differential equations subject to the boundary conditions was considered. We employ Kansa?s method to approximate the solution of PDEs using inverse multiquadric radial basis function (IMQRBF). The results of numerical experiments are presented, and compared with the exact solutions to confirm the effectiveness and the accuracy of the scheme. All the computation was carried out using MATLAB codes. Keywords: Radial basis functions (RBFs), inverse multiquadric (IMQ), boundary conditions, collocation.

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