Polynomial solutions of certain differential equations

Sezer M., Kesan C.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.76, no.1, pp.93-104, 2000 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 76 Issue: 1
  • Publication Date: 2000
  • Doi Number: 10.1080/00207160008805011
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.93-104
  • Keywords: Chebyshev polynomial solutions, solutions of certain differential equations
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, the Chebyshev matrix method is applied generalisations of the Hermite, Laguerre, Legendre and Chebyshev differential equations which have polynomial solution. The method is based on taking the truncated Chebyshev series expansions of the functions in equation, and then substituting their matrix forms into the result equation. Thereby the given equation reduces to a matrix equation, which corresponds to a system of linear algebraic equations with unknown Chebyshev coefficients.