scholarly journals An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem

2017 ◽  
Vol 07 (01) ◽  
pp. 84-93 ◽  
Author(s):  
Mariam Al-Mazmumy ◽  
Ahlam Al-Mutairi ◽  
Kholoud Al-Zahrani
Keyword(s):  
Boundary Value Problem ◽  
Decomposition Method ◽  
Boundary Value

scholarly journals The Solution of Fourth Order Boundary Value Problem Arising out of the Beam-Column Theory Using Adomian Decomposition Method

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Omer Kelesoglu
Keyword(s):  
Exact Solution ◽  
Boundary Value Problem ◽  
Fourth Order ◽  
Decomposition Method ◽  
Boundary Value ◽  
Adomian Decomposition Method ◽  
Nonhomogeneous Boundary ◽  
Adomian Decomposition

Adomian decomposition method (ADM) is applied to linear nonhomogeneous boundary value problem arising from the beam-column theory. The obtained results are expressed in tables and graphs. We obtain rapidly converging results to exact solution by using the ADM. This situation indicates that the method is appropriate and reliable for such problems.

scholarly journals A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity

2005 ◽  
Vol 2005 (6) ◽  
pp. 855-861 ◽  
Author(s):  
Michael S. Gordon
Keyword(s):  
Boundary Value Problem ◽  
Decomposition Method ◽  
Series Solution ◽  
Boundary Value ◽  
Quadratic Nonlinearity ◽  
One Dimensional ◽  
Semilinear Heat Equation ◽  
Convergence Results ◽  
Dimensional Boundary ◽  
Local And Global Convergence

The author adapts the decomposition method of Adomian to find a series solution of a one-dimensional boundary value problem for a semilinear heat equation with a quadratic nonlinearity. Local and global convergence results are obtained.

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