Publication: Non-polynomial Spline Method for the Solution of Non-linear Burgers' Equation
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Date
2013
Authors
Çağlar, Süleyman Hikmet
Uçar, Mehmet Fatih
Journal Title
Journal ISSN
Volume Title
Publisher
Springer-Verlag Berlin, Heidelberger Platz 3, D-14197 Berlin, Germany
Abstract
A non-polynomial cubic spline method is proposed in this paper to solve one-dimensional non-linear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, Int. J. Comp. Math. 85, 843-850 (2008)]. An example is solved to assess the accuracy of the method. The numerical results obtained by this way are compared with the exact solution to show the efficiency of the method.
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Keywords
Mathematics, Matematik, Physics, Fizik, Finite-Element Approach, Numerical-Solution, Schemes, Time