The numerical solution of the one-dimensional heat equation by using third degree B-spline functions


Caglar H., ÖZER M., Caglar N.

CHAOS SOLITONS & FRACTALS, vol.38, no.4, pp.1197-1201, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.1016/j.chaos.2007.01.056
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1197-1201
  • Istanbul Kültür University Affiliated: Yes

Abstract

In this paper, the boundary value problem for the one-dimensional heat equation with a nonlocal initial condition is examined by using the third degree B-splines functions. The numerical solution of the equations are discussed and illustrated with an example. The results of numerical testing show that the numerical method based on the given techniques produce good results. (c) 2007 Elsevier Ltd. All rights reserved.