Özet
Numerical solutions of the generalized Burgers-Fisher equation are presented based on a polynomial-based differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a third-order strong stability preserving Runge-Kutta scheme in time have been used. The proposed technique successfully worked to give reliable results in the form of numerical approximation converging very rapidly. The computed results have been compared with the exact solution to show the required accuracy of the method. The approximate solutions to the nonlinear equations were obtained. The approach is seen to be a very reliable alternative to the rival techniques for realistic problems.
Orijinal dil | İngilizce |
---|---|
Sayfa (başlangıç-bitiş) | 477-486 |
Sayfa sayısı | 10 |
Dergi | Mathematical and Computational Applications |
Hacim | 16 |
Basın numarası | 2 |
DOI'lar | |
Yayın durumu | Yayınlandı - 2011 |
Harici olarak yayınlandı | Evet |