A Trigonometric Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation
Numerical Analysis
2016-04-18 v1
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.
Keywords
Cite
@article{arxiv.1604.04419,
title = {A Trigonometric Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation},
author = {Ozlem Ersoy and Idris Dag},
journal= {arXiv preprint arXiv:1604.04419},
year = {2016}
}
Comments
18 pages. arXiv admin note: substantial text overlap with arXiv:1503.00456