The meshless Kernel-based method of lines for parabolic equations

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

5 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)2057-2067
Journal / PublicationComputers and Mathematics with Applications
Volume68
Issue number12
Online published10 Nov 2014
Publication statusPublished - Dec 2014

Abstract

Using the heat equation as a simple example, we give a rigorous theoretical analysis of the Method of Lines, implemented as a meshless method based on spatial trial spaces spanned by translates of positive definite kernels. The technique can be generalized to other parabolic problems, and some numerical illustrations are given.

Research Area(s)

  • CFL condition, Method of lines, Parabolic equations, Partial differential equations, Time integration