Application of the Kudryasov method with characteristic set algorithm to solve some partial differential equations in fluid mechanics | Zendy

Yi Tian | Zendy

Open Access

Application of the Kudryasov method with characteristic set algorithm to solve some partial differential equations in fluid mechanics

Author(s) -

Yi Tian

Publication year - 2019

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci180515134t

Subject(s) - set (abstract data type) , partial differential equation , computer science , algebraic equation , algebraic number , algorithm , mathematics , mathematical optimization , mathematical analysis , physics , nonlinear system , quantum mechanics , programming language

In this paper, we pay attention the analytical method named, the Kudryashov method combined with characteristic set algorithm for finding the exact travelling solutions of two non-linear PDE in fluid mechanics, which named surface wave equation and the generalized Kuramoto-Sivashinsky equation. The solution procedure of the Kudryashov method can be reduced to solve a large system of algebraic equations, which is hard to solve, then we use characteristic set algorithm to solve this problem. The obtained results show that the Kudryashov method combined with characteristic set algorithm is effective.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research