Application of variational iteration method for solving singular two point boundary value problems

author

Abstract:

In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenproblem which being processed out and improvised on its own at every step re-cursively. Moreover, Illustrative examples available to the context in literaturewhen treated with, by application of such proposed method fetch encouragingresults so as to justify and reveal its eciency and usefulness of the method.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Application of variational iteration method for solving singular two point boundary value problem

DEA methodology allows DMUs to select the weights freely, so in the optimalsolution we may see many zeros in the optimal weight. to overcome this prob-lem, there are some methods, but they are not suitable for evaluating DMUswith fuzzy data. In this paper, we propose a new method for solving fuzzyDEA models with restricted multipliers with less computation, and comparethis method with Liu''''''...

full text

application of variational iteration method for solving singular two point boundary value problems

in this paper, he's highly proli c variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. the process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenpr...

full text

A New Spectral Variational Iteration Method for Solving Nonlinear Two-Point Boundary Value Problems

In this paper we develop an efficient method based on the Spectral Collocation Method (SCM) and the Variational Iteration Method (VIM) that can be used for the efficient numerical solution of nonlinear stiff/nonstiff two-point Boundary Value Problems (BVPs). The method derived here has the advantage that it does not require the solution of nonlinear systems of equations. We derive the method wh...

full text

Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

full text

Augmented Lagrangian method for solving absolute value equation and its application in two-point boundary value problems

One of the most important topic that consider in recent years by researcher is absolute value equation (AVE). The absolute value equation seems to be a useful tool in optimization since it subsumes the linear complementarity problem and thus also linear programming and convex quadratic programming. This paper introduce a new method for solving absolute value equation. To do this, we transform a...

full text

Numerical Scheme for Solving Singular Two-Point Boundary Value Problems

Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliab...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 9  issue 1

pages  17- 29

publication date 2012-03-01

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023