Application of Wave Equation in Pile Foundation Using Homotopy Perturbation Method and Variational Iteration Method
نویسندگان
چکیده
منابع مشابه
Analytical Approach to Kawahara Equation Using Variational Iteration Method and Homotopy Perturbation Method
Variational iteration method and homotopy perturbation method are introduced to solve the Kawahara equation. Comparison of the obtained results with the numerical solution shows that both methods lead to remarkably accurate solutions. The main property of the both methods is its flexibility and ability to solve nonlinear equations accurately and conveniently.
متن کاملTHE APPLICATION OF THE VARIATIONAL HOMOTOPY PERTURBATION METHOD ON THE GENERALIZED FISHER'S EQUATION
In this paper, we consider the variational homotopy perturbation method (VHPM) to obtain an approximate series solution for the generalized Fisher’s equation which converges to the exact solution in the region of convergence. Comparisons are made among the variational iteration method (VIM), the exact solutions and the proposed method. The results reveal that the proposed method is very effectiv...
متن کاملApplication of He’s Variational Iteration Method to Abelian Differential Equation
In this paper, He’s variational iteration method (VIM) is used to obtain approximate analytical solutions of the Abelian differential equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation...
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 کاملApplication 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 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: Journal of Applied Sciences
سال: 2008
ISSN: 1812-5654
DOI: 10.3923/jas.2008.2158.2162