Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation | Zendy

A. Sami Bataineh | Zendy; A‎. ‎K‎. Alomari | Zendy; Ishak Hashim | Zendy

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Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation

Author(s) -

A. Sami Bataineh,

A‎. ‎K‎. Alomari,

Ishak Hashim

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/547502

Subject(s) - legendre polynomials , mathematics , matrix (chemical analysis) , nonlinear system , boundary value problem , legendre function , mathematical analysis , point (geometry) , associated legendre polynomials , legendre wavelet , singular point of a curve , singular value , orthogonal polynomials , geometry , computer science , classical orthogonal polynomials , gegenbauer polynomials , physics , eigenvalues and eigenvectors , wavelet transform , quantum mechanics , artificial intelligence , wavelet , composite material , discrete wavelet transform , materials science

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

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