Numerical Solution of Initial Boundary Value Problems by MOL-RBF Method.

FAZAL I HAQ; FARAH JAFFAR; SIRAJUL ISLAM

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Numerical Solution of Initial Boundary Value Problems by MOL-RBF Method.

Author(s)

FAZAL I HAQ Department of Mathematics, Stats and Computer Science, KPK Agricultural University, Peshawar, Pakistan

FARAH JAFFAR Department of Mathematics, Shaheed Benazir Bhutto Women University, Peshawar, Pakistan

SIRAJUL ISLAM Department of Basic Sciences, NWFP University of Engineering and Technology, Peshawar, Pakistan

Abstract

A recently developed meshless method, namely the radial basis function (RBF) combined with method of lines (MOL), i.e MOL - RBF is used to find numerical solution of initial boundary value problems. Numerical examples are given to illustrate the practical usefulness of this approach. L¥ , L2 norms and RMS are used for error estimation. Superiority of the proposed method is shown as compared with two existing numerical methods such as variational iteration method and finite difference method.

Publication Details

Page(s) 25-39

DOI DOI not available

Published Journal: Pakistan Journal of Computer and Information Systems, Volume: 1, Issue: 1, Year: 2016

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Keywords

Inverse Multiquardic (IMQ), Guassian (GA), Finite difference method(FDM), Korteweg-de-Vries (KdV)equation, Radial basis function (RBF), Fourthorder Runge Kutta (RK4), Method of lines (MOL), Multiquadric (MQ)

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