Approximate Solution of Linear Boundary Value Problem Defined on Semi Infinite Interval

Autor: Bushra E. Kashem
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Engineering and Technology Journal, Vol 31, Iss 7B, Pp 837-845 (2013)
Druh dokumentu: article
ISSN: 1681-6900
2412-0758
DOI: 10.30684/etj.31.7B.4
Popis: This paper presents an algorithm for Boundary Value Problems (B.V.P) defined on semi infinite interval approximately. Firstly, the problem is transformed into a new equivalent Volterra integral equation and then Hermite polynomials are used for solving V.I.E approximately with the aid of spectral method. The V.I.E reduces to linear system of algebraic equations with unknown Hermite coefficients'. Comparisons between the exact and approximated results of this method are given via two test examples and accurate results are achieved.
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