DECOMPOSITION METHOD IN COMPARISON WITH NUMERICAL SOLUTIONS OF BURGERS EQUATION

Authors

  • Christos Mamaloukas Athens University of Economics and Business, Dept. of Informatics, 76 Patision Str, 10434 Athens, Greece
  • Stefanos Spartalis Democritus University of Thrace, Dept. of Production Engineering and Management, School of Engineering, University Library Building, Kimeria 67100 Xanthi, Greece

Abstract

This paper presents a solution of the one-dimension Burgers equation using Decomposition Method and compares this solution to the analytic solution [Cole] and solutions obtained with other numerical methods. Even though decomposition method is a non-numerical method, it can be adapted for solving nonlinear differential equations. The advantage of this methodology is that it leads to an analytical continuous approximated solution that is very rapidly convergent [2,7,8]. This method does not take any help of linearization or any other simplifications for handling the non-linear terms. Since the decomposition parameter, in general, is not a perturbation parameter, it follows that the non-linearities in the operator equation can be handled easily, and accurate solution may be obtained for any physical problem.

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Published

2008-12-17

Issue

Vol. 18 (2008)

Section

Volume 18-2008

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