Title
Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation.
Abstract
Exact and approximate analytical solutions of linear and nonlinear singular two-point boundary value problems (BVPs) are obtained for the first time by the Legendre operational matrix of differentiation. Different from other numerical techniques, shifted Legendre polynomials and their properties are employed for deriving a general procedure for forming this matrix. The accuracy of the technique is demonstrated through several linear and nonlinear test examples.
Year
DOI
Venue
2013
10.1155/2013/547502
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Boundary value problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Matrix (mathematics),Legendre polynomials,Legendre wavelet,Operational matrix,Associated Legendre polynomials,Mathematics
Journal
2013
ISSN
Citations 
PageRank 
1110-757X
1
0.41
References 
Authors
4
3
Name
Order
Citations
PageRank
A. Sami Bataineh151.08
A. K. Alomari2144.06
Ishak Hashim37516.70