Paper Info
Title
Numerical methods for nonlinear fourth-order boundary value problems with applications
Abstract
In this paper, we present efficient numerical algorithms for the approximate solution of nonlinear fourth-order boundary value problems. The first algorithm deals with the sinc-Galerkin method (SGM). The sinc basis functions prove to handle well singularities in the problem. The resulting SGM discrete system is carefully developed. The second method, the Adomian decomposition method (ADM), gives the solution in the form of a series solution. A modified form of the ADM based on the use of the Laplace transform is also presented. We refer to this method as the Laplace Adomian decomposition technique (LADT). The proposed LADT can make the Adomian series solution convergent in the Laplace domain, when the ADM series solution diverges in the space domain. A number of examples are considered to investigate the reliability and efficiency of each method. Numerical results show that the sinc-Galerkin method is more reliable and more accurate.
Year
DOI
Venue
2008
10.1080/00207160701363031
Int. J. Comput. Math.
Keywords
Field
DocType
numerical method,approximate solution,efficient numerical algorithm,laplace adomian decomposition technique,laplace domain,series solution,adm series solution diverges,sgm discrete system,adomian series solution convergent,nonlinear fourth-order boundary value,sinc-galerkin method,adomian decomposition method,discrete system,boundary value problem,laplace transform,galerkin method,decomposition method
Boundary value problem,Mathematical optimization,Nonlinear system,Sinc function,Laplace transform,Mathematical analysis,Adomian decomposition method,Basis function,Numerical analysis,Discrete system,Mathematics
Journal
Volume
Issue
ISSN
85
1
0020-7160
Citations 
PageRank 
References 
1
0.36
6
Authors
3
Name
Order
Citations
PageRank
Mohamed Ali Hajji121.45
Kamel Al-Khaled29516.31
HajjiMohamed Ali310.36