Publication: Non-polynomial Spline Method for the Solution of Non-linear Burgers' Equation
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Çağlar, Süleyman Hikmet
Uçar, Mehmet Fatih
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item.page.editor
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10.1007/978-3-642-33914-1_27
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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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978-3-642-33914-1
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Mathematics , Matematik , Physics , Fizik , Finite-Element Approach , Numerical-Solution , Schemes , Time