Finite integration method for partial differential equations

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)10092-10106
Journal / PublicationApplied Mathematical Modelling
Volume37
Issue number24
Online published22 Jun 2013
Publication statusPublished - 15 Dec 2013

Abstract

A finite integration method is proposed in this paper to deal with partial differential equations in which the finite integration matrices of the first order are constructed by using both standard integral algorithm and radial basis functions interpolation respectively. These matrices of first order can directly be used to obtain finite integration matrices of higher order. Combining with the Laplace transform technique, the finite integration method is extended to solve time dependent partial differential equations. The accuracy of both the finite integration method and finite difference method are demonstrated with several examples. It has been observed that the finite integration method using either radial basis function or simple linear approximation gives a much higher degree of accuracy than the traditional finite difference method. © 2013 Elsevier Inc.

Research Area(s)

  • Elasto-dynamics, Finite integral method, Laplace transformation, Partial differential equation, Partial differential equation with fractional order, Radial basis functions

Citation Format(s)

Finite integration method for partial differential equations. / Wen, P. H.; Hon, Y. C.; Li, M.; Korakianitis, T.

In: Applied Mathematical Modelling, Vol. 37, No. 24, 15.12.2013, p. 10092-10106.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review