Numerical solution of Burgers equation with nonlinear damping using non-polynomial tension spline

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:4
Numerical solution of Burgers equation with nonlinear damping using non-polynomial tension spline

Numerical solution of Burgers equation with nonlinear damping using non-polynomial tension spline

Authors : Hs SHEKARABİ

Pages : 1109-1124

View : 48 | Download : 11

Publication Date : 2016-08-01

Article Type : Research Paper

Abstract :Numerical solution of Burgers equation with nonlinear damping term has been investigated.We developed new approach based on non- polynomial cubic tension spline approximation.The proposed approach depends on the parameters involving in tension spline.By choosing suitable values of such parameters the optimal local truncation error of the scheme can be obtained.Convergence analysis of presented method has been discussed in details and we have shown under appropriate condition the method convergence.The method tested on two problems,numerical results have been compared with the exact so- lution to justify the usefulness and accurate nature of proposed method.
Keywords : Burgers equation, Non polynomial tension spline, Convergence analysis

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