An Algorithm: Optimal Homotopy Asymptotic Method for Solutions of Systems of Second-Order Boundary Value Problems
نویسندگان
چکیده
منابع مشابه
The Solution of Special Twelfth Order Boundary Value Problems by the Optimal Homotopy Asymptotic Method
Abstract: In this work, we consider special problem consisting of twelfth order two-point boundary value by using the Optimal Homotopy Asymptotic Method (OHAM). The proposed method has been thoroughly tested on problems of all kinds and shows very accurate results . Furthermore, we also compared the results obtained from this technique with the available exact solution in different literatures....
متن کاملNumerical Solution of Fourth Order Integro-differential Boundary Value Problems by Optimal Homotopy Asymptotic Method
In the course of this paper, the Optimal Homotopy Asymptotic Method (OHAM) introduced by Marica is applied to solve linear and nonlinear boundary value problems both for fourth-order integro-differential equations. The following analysis is accompanied by numerical examples whose results show that the Optimal Homotopy Asymptotic Method is highly accurate, convenient and relatively efficient for...
متن کاملAn optimal analytical method for nonlinear boundary value problems based on method of variation of parameter
In this paper, the authors present a modified convergent analytic algorithm for the solution of nonlinear boundary value problems by means of a variable parameter method and briefly, the method is called optimal variable parameter method. This method, based on the embedding of a parameter and an auxiliary operator, provides a computational advantage for the convergence of the approximate soluti...
متن کاملApplication of Optimal q-Homotopy Analysis Method to Second Order Initial and Boundary Value Problems
In this study the application of a newly developed efficient method namely, optimal q-homotopy analysis method (Oq-HAM) has been illustrated for solving second order initial and boundary value problems. The Oq-HAM is a flexible method and can be applied to solve different types of problems. Moreover, it can easily be implemented in symbolic soft computing tools, e.g. MATHEMATICA.
متن کاملB-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems
In this paper, we solve a linear system of second-order boundary value problems by using the quadratic B-spline nite el- ement method (FEM). The performance of the method is tested on one model problem. Comparisons are made with both the analyti- cal solution and some recent results.The obtained numerical results show that the method is ecient.
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: Mathematical Problems in Engineering
سال: 2017
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2017/8013164