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

Joint Authors

Hashim, Ishak
Alomari, A. K.
Bataineh, A. Sami

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-07

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Bataineh, A. Sami& Alomari, A. K.& Hashim, Ishak. 2013. Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-480466

Modern Language Association (MLA)

Bataineh, A. Sami…[et al.]. Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-480466

American Medical Association (AMA)

Bataineh, A. Sami& Alomari, A. K.& Hashim, Ishak. Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-480466

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-480466