NUMERICAL SOLUTION OF A QUASILINEAR PARABOLIC PROBLEM WITH PERIODIC BOUNDARY CONDITION

Sakinc I.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.39, no.2, pp.183-189, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 2
  • Publication Date: 2010
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.183-189
  • Kocaeli University Affiliated: Yes

Abstract

In this paper we study the one dimensional mixed problem, with Neumann and Dirichlet type periodic boundary conditions, for the quasilinear parabolic equation partial derivative u/partial derivative t - a(2) partial derivative(2)u/partial derivative x(2) = f(t, x, u). We construct an iteration algorithm for the numerical solution of this problem. We analyze computationally convergence of the iteration algorithm, as well as on test examples. We demonstrate a numerical procedure for this problem on concrete examples, and also we obtain numerical solution by using the implicit finite difference algorithm.