application of he's homotopy perturbation method for solving sivashinsky equation
نویسندگان
چکیده
in this paper, the solution of the evolutionaryfourth-order in space, sivashinsky equation is obtained by meansof homotopy perturbation method (textbf{hpm}). the results revealthat the method is very effective, convenient and quite accurateto systems of nonlinear partial differential equations.
منابع مشابه
Application of He's homotopy perturbation method for solving Sivashinsky equation
In this paper, the solution of the evolutionaryfourth-order in space, Sivashinsky equation is obtained by meansof homotopy perturbation method (textbf{HPM}). The results revealthat the method is very effective, convenient and quite accurateto systems of nonlinear partial differential equations.
متن کاملApplication of He’s homotopy perturbation method for Schrodinger equation
In this paper, He’s homotopy perturbation method is applied to solve linear Schrodinger equation. The method yields solutions in convergent series forms with easily computable terms. The result show that these method is very convenient and can be applied to large class of problems. Some numerical examples are given to effectiveness of the method.
متن کاملHomotopy perturbation method for solving fractional Bratu-type equation
In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modied Riemann-Liouville sense. The results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional p...
متن کاملApplication of Homotopy-Perturbation Method for Solving Gas Dynamics Equation
Nonlinear partial differential equations are useful in describing the various phenomena in disciplines. The Homotopy perturbation method, first proposed by He in 1998, was developed and improved by He [5, 6, 7, 8]. Homotopy perturbation method [4] is a novel and effective method, and can solve various nonlinear equations. This method has been successfully applied to solve many types of nonlinea...
متن کاملhomotopy perturbation method for solving fractional bratu-type equation
in this paper, the homotopy perturbation method (hpm) is applied to obtain an approximate solution of the fractional bratu-type equations. the convergence of the method is also studied. the fractional derivatives are described in the modi ed riemann-liouville sense. the results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional...
متن کاملVARIATIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE NONLINEAR GAS DYNAMICS EQUATION
A. Noor et al. [7] analyze a technique by combining the variational iteration method and the homotopy perturbation method which is called the variational homotopy perturbation method (VHPM) for solving higher dimensional initial boundary value problems. In this paper, we consider the VHPM to obtain exact solution to Gas Dynamics equation.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
international journal of nonlinear analysis and applicationsناشر: semnan university
ISSN
دوره 3
شماره 1 2012
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023