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

Year 2016, Volume: 45 Issue: 4, 1109 - 1124, 01.08.2016

H.s. Shekarabi

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

References

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