Homotopy Perturbation Transform Method for Solving Korteweg-DeVries (KDV) Equation
نویسندگان
چکیده
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 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 کاملHomotopy Perturbation Method for Korteweg and de Vries Equation
Abstract: This study focus on the solution of the generalized Korteweg and de Vries (KdV) by using homotopy perturbation method (HPM). The HPM has the capabilities to bereave the complicated differential equation models to number of simple iterative models once the effective initial guess satisfying the boundary conditions is made and leads to generic solutions in addition to their rapid conver...
متن کاملSolving The Optimal Control Problems Using Homotopy Perturbation Transform Method
Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregive...
متن کاملThe Homotopy Perturbation Method for Solving the Modified Korteweg-de Vries Equation
The homotopy perturbation method (HPM) is employed successfully for solving the modified Korteweg-de Vries equation. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions or perturbation theory. The results show applicability, accuracy and efficiency of the HPM i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pure and Applied Mathematics Journal
سال: 2015
ISSN: 2326-9790
DOI: 10.11648/j.pamj.20150406.17