Numerical solution of Burgers equation with nonlinear damping using non-polynomial tension spline
Numerical solution of Burgers equation with nonlinear damping termhas been investigated.We developed new approach based on non-polynomial cubic tension spline approximation.The proposed approachdepends on the parameters involving in tension spline.By choosingsuitable values of such parameters the optimal local truncation errorof the scheme can be obtained.Convergence analysis of presentedmethod has been discussed in details and we have shown underappropriate condition the method convergence.The method tested ontwo problems,numerical results have been compared with the exact so-lution to justify the usefulness and accurate nature of proposed method.
___
- .
- .
- Yayın Aralığı: 6
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi