Adomian decomposition method with Neumann boundary conditions for solution of nonlinear boundary value problem
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Date
2015
Authors
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Publisher
Science International
Abstract
The Adomian decomposition method (ADM) is a creative and effective method for exact solution of functional equations of various kinds. Adomian decomposition method solves wide class of linear and non-linear, ordinary or partial differential equations. This paper presents the Adomian decomposition method for the solution of nonlinear boundary value problem using Neumann boundary conditions. In this approach, the solution is found in the form of a convergent power series with easily computed components. To show the efficiency of the method, numerical results and graphical representation of results are presented and compared with exact solution.
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Keywords
Adomian decomposition method, Neumann boundary conditions, Nonlinear boundary value problem, Bratu problem, Burger problem
Citation
A., S., Chaudhry, N. A., Saeed, M., & Tabassum, M. F. (2015). Adomian decomposition method with Neumann boundary conditions for solution of nonlinear boundary value problem. Science International, 27(1), 383-388