Makale detayı · 2015
On the Solution of Burgers Equation with the New Fractional Derivative
- Yıl
- 2015
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Open Physics
- Katalog eşleşmesi (ISSN) Open Physics
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
Abstract Firstly in this article, the exact solution of a time fractional Burgers’ equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found byHopf-Cole transform. Thereafter the approximate analytical solution of the time conformable fractional Burger’s equation is determined by using a Homotopy Analysis Method(HAM). This solution involves an auxiliary parameter ~ which we also determine. The numerical solution of Burgers’ equation with the analytical solution obtained by using the Hopf-Cole transform is compared.
Konular
- Fractional Differential Equations Solutions
- Iterative Methods for Nonlinear Equations
- Nonlinear Waves and Solitons
Birincil konu Fractional Differential Equations Solutions