A method for the approximate solution of the second-order linear differential equations in terms of Taylor polynomials

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Sezer M.

International Journal of Mathematical Education in Science and Technology, vol.27, no.6, pp.821-834, 1996 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 27 Issue: 6
• Publication Date: 1996
• Doi Number: 10.1080/0020739960270606
• Journal Name: International Journal of Mathematical Education in Science and Technology
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.821-834
• Dokuz Eylül University Affiliated: Yes

Abstract

A matrix method is introduced for the approximate solution of the second-order linear differential equation with specified associated conditions in terms of Taylor polynomials about any point. Examples are presented which illustrate the pertinent features of the method. Also it is applied to the generalized Hermite, Laguerre, Legendre and Chebyshev equations given by Costa and Levine. © 1996 Taylor & Francis Group, LLC.