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arXiv · 1604.04419

A Trigonometric Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation

Ozlem Ersoy·Idris Dag
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Abstract

The coupled Burgers equation is solved by way of the trigonometric B-spline collocation method. The unknown of the coupled Burgers equation is integrated in time by aid of the Crank-Nicolson method. Resulting time-integrated coupled Burgers equation is discretized using the trigonometric cubic B-spline collocation method. Fully-integrated couupled Burgers equation which is a system of nonlinear algebraic equation is solved with a variant of Thomas algorithm. The three model test problems are studied to illustrate the accuracy of the suggested method.

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BibTeXRIS

Ozlem Ersoy, Idris Dag. 2016-04-15. A Trigonometric Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation. https://arxiv.org/abs/1604.04419

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