An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems

B-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.

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

An efficient algorithm for solving fifth-order boundary value problems

In this paper, we apply the homotopy perturbation method for solving the fifth-order boundary value problems. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy perturbation method. Comparisons are made to confirm the reliability of ...

Finite Difference Method for Solving a System of Third-Order Boundary Value Problems

We develop a new-two-stage finite difference method for computing approximate solutions of a system of third-order boundary value problems associated with odd-order obstacle problems. Such problems arise in physical oceanography Dunbar 1993 and Noor 1994 , draining and coating flow problems E. O. Tuck 1990 and L. W. Schwartz 1990 , and can be studied in the framework of variational inequalities...

An 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...