Application of homotopy analysis method to the solution of ninth order boundary value problems in AFTI-F16 fighters

Application 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.

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....

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

Homotopy perturbation method for solving sixth-order boundary value problems

In this paper, we apply the homotopy perturbation method for solving the sixth-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equations have been obtained in terms of convergent series with easily computable components. Several ex...

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...