An Iterative Algorithm for Fifth-order Boundary Value Problems
نویسندگان
چکیده
Abstract: In this paper, we use Iterative Method (ITM) for solving linear and nonlinear fifth order boundary value problems. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. The algorithm is quite efficient and is practically well suited for these problems. Several examples are given to illustrate the reliability and implementation of the iterative method. Comparisons are made to confirm the accuracy of the technique.
منابع مشابه
On Approximate Stationary Radial Solutions for a Class of Boundary Value Problems Arising in Epitaxial Growth Theory
In this paper, we consider a non-self-adjoint, singular, nonlinear fourth order boundary value problem which arises in the theory of epitaxial growth. It is possible to reduce the fourth order equation to a singular boundary value problem of second order given by w''-1/r w'=w^2/(2r^2 )+1/2 λ r^2. The problem depends on the parameter λ and admits multiple solutions. Therefore, it is difficult to...
متن کاملVariational Iteration Method for Fifth-Order Boundary Value Problems Using He's Polynomials
We apply the variational iteration method using He’s polynomials VIMHP for solving the fifthorder boundary value problems. The proposedmethod is an elegant combination of variational iteration and the homotopy perturbationmethods and is mainly due to Ghorbani 2007 . The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme...
متن کاملAn efficient numerical method for singularly perturbed second order ordinary differential equation
In this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. A fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. Thomas algorithm is used to solve the tri-diagonal system. The stability of the algorithm is investigated. It ...
متن کاملA numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method
In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...
متن کاملA Numerical Solution to the Nonlinear Fifth Order Boundary Value Problems
Fifth order boundary value problem appears in the mathematical modelling of viscoelastic flows and other branches of mathematical, physical and engineering sciences [4, 5]. The conditions for the existence and uniqueness of the solution of such problems can be found in [6]. Gamel [2] analyzed Sinc-Galerkin method for the solution of fifth-order boundary value problems with two-point boundary co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013