On solving parabolic equation with homogeneous boundary and integral initial conditions

Authors

  • Mladen Ignjatović Faculty of Technology, University of East Sarajevo, Karakaj bb, 75400 Zvornik, Bosnia and Herzegovina Author

Keywords:

Finite difference method, stability estimate, parabolic equation, non-local condition, second-order of convergence

Subjects:

65M12, 65M06, 65M22

Abstract

In this paper we consider the second order parabolic partial differential equation with constantcoefficients subject to homogeneous Dirichlet boundary conditions and initial conditioncontaining nonlocal integral term. We derive first and second order finite difference schemes for the parabolic problem,combining implicit and Crank-Nicolson methods with two discretizations of the integral term.One numerical example is presented to test and illustrate the proposed algorithm.

Downloads

Published

2015-10-15

Issue

Vol. 67 No. 4 (2015): Vol. 67, Issue 4

Section

Articles

License

Copyright (c) 2015 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.