The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method

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....

Numerical 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...

The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation

In recent years, numerous approaches have been applied for finding the solutions of functional equations. One of them is the optimal homotopy asymptotic method. In current paper, this method has been applied for obtaining the approximate solution of Fisher equation. The reliability of the method will be shown by solving some examples of various kinds and comparing the obtained outcomes with the ...

Solving the non linear system of third order boundary value problems by using He's homotopy perturbation method

Multipoint Boundary Value Problems by Differential Quadrature Method

This paper extends the application of the differential quadrature method (DQM) to high order (2 3rd) ordinary differential equations with the boundary conditions specified at multiple points (2 three different points). Explicit weighting coefficients for higher order derivatives have been derived using interpolating trigonometric polynomials. A three-point, linear third-order differential equat...