ON A METHOD FOR FINDING THE NUMERICAL SOLUTION OF CAUCHY PROBLEM FOR 2D BURGERS EQUATION

  • Mahir Rasulov Beykent University, Department of Mathematics and Computing, Istanbul, Turkey
  • Emine Boran Beykent University, Institute of Sciences and Engineering, Istanbul, Turkey

Abstract

In this paper a new method is proposed for finding the numerical solution of the Cauchy problem for 2D Burgers equation with initial function consisting of four piecewise constants in a class of discontinuous functions. For this goal, a special auxiliary problem which has some advantages over the main problem is introduced. Using these advantages of the auxiliary problem, the numerical solution of the main problem is obtained. Some computer experiments are carried out.

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Published
2015-09-09
How to Cite
Rasulov, M., & Boran, E. (2015). ON A METHOD FOR FINDING THE NUMERICAL SOLUTION OF CAUCHY PROBLEM FOR 2D BURGERS EQUATION. European Scientific Journal, ESJ, 11(10). Retrieved from https://eujournal.org/index.php/esj/article/view/6177
Issue
ESJ AUGUST 2015 /SPECIAL/ EDITION
Section
Articles