NUMERICAL SOLUTION OF THIN FILM EQUATION IN A CLASS OF DISCONTINUOUS FUNCTIONS

  • Bahaddin Sinsoysal Beykent University, Department of Mathematics and Computing, Istanbul, Turkey
  • Mahir Rasulov Beykent University, Department of Mathematics and Computing, Istanbul, Turkey

Abstract

In this paper, an original method has been suggested to find a numerical solution of initial value problem for a fourth order degenerate diffusion equation which models the thin film flow. For this, an auxiliary problem established in a special way and having some advantages over the main problem has been introduced. Advantages of the auxiliary problem allow us to apply one of the well-known methods in literature, and thus the numerical solution of the main problem can be calculated by using the obtained solution.

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Published
2015-09-09
How to Cite
Sinsoysal, B., & Rasulov, M. (2015). NUMERICAL SOLUTION OF THIN FILM EQUATION IN A CLASS OF DISCONTINUOUS FUNCTIONS. European Scientific Journal, ESJ, 11(10). Retrieved from http://eujournal.org/index.php/esj/article/view/6162