University of Technology-IraqEngineering and Technology Journal1681-690031720130528Approximate Solution of Linear Boundary Value Problem Defined on Semi Infinite Intervalالحل التقريبي لمسألة القيم الحدوديه الخطية المعرفة فى الفترة شبه لانهائيه83784584336ENBushra E. KashemJournal Article20130501This 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.https://etj.uotechnology.edu.iq/article_84336_156a93c68e060acd3220ec1e70a8698b.pdf