DSpace Repository

# The Variational Iteration Method for Solving First and Second Order Linear Partial Differential Equations

 dc.contributor.author Mohamed, Nadia Abdelmoneim Eisa dc.date.accessioned 2018-08-14T10:29:59Z dc.date.available 2018-08-14T10:29:59Z dc.date.issued 2016-05-07 dc.identifier.uri http://repo.uofg.edu.sd/handle/123456789/1321 dc.description A Dissertation Submitted to the University of Gezira in Partial Fulfillment of the Requirements for the Award of the Degree of Master of Science in Mathematical en_US Department of Mathematics ,Faculty of Mathematical and Computer Sciences May , 2016 dc.description.abstract The variational iteration method(VIM )is used by mathematicians to handle a wide variety of scientific and engineering applications, linear and nonlinear ,and homogenous and inhomogeneous in what follows, we present the main steps of the method , shown by many authors that this method is powerful over existing techniques such as Adomian method , Perturbation method .We use He’s variational iteration method for solving linear Klein–Gordon equations. The numerical treatment of the Klein–Gordon equation, variational and also obtain the exact solutions of Laplace equation with Dirichlet and Neumann boundary conditions, the variational iteration method (VIM) is used for analytic treatment of the linear and nonlinear systems of partial differential equations, some examples are examined to highlight the significant features of the VIM method, widely used VIM by many researchers to study linear and nonlinear partial differential equations, The method introduces a reliable and efficient process for a wide variety of scientific and engineering applications, linear or nonlinear, homogeneous or inhomogeneous., equations and systems of equations, The method gives rapidly convergent successive approximations of the exact solution if such solution exists, The VIM has no specific requirements, such as linearization, small parameters, Adomian polynomials, etc. The objective study to use variational iteration method for solving some first and second order linear partial differential equations, We get from the study to conclusions for solving some first and second order linear partial differential equations. en_US dc.description.sponsorship Mohamed Hassan Mohamed Khabir ( Main Superviser) en_US Mohamed Alnaem Ahmed Elnaire ( Co-supervisor) dc.language.iso en en_US dc.publisher University of Gezira en_US dc.subject variational iteration method en_US dc.subject mathematicians en_US dc.title The Variational Iteration Method for Solving First and Second Order Linear Partial Differential Equations en_US dc.type Thesis en_US
﻿