Approximate solution of ordinary linear differential equations with analytical complex functions coefficient by means of Taylor matrix method

Celik A., Duzgun A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.82, no.6, pp.765-775, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 82 Issue: 6
  • Publication Date: 2005
  • Doi Number: 10.1080/0020716042000301833
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.765-775
  • Keywords: ordinary linear differential equation, analytical complex function, Taylor matrix method, approximative solution
  • Dokuz Eylül University Affiliated: No

Abstract

Let f, p, q, r be analytical functions in D with complex variables and complex values, where D subset of C is a simple connected domain of the complex plane in this study. We give approximative solutions of nonhomogenous ordinary differential equation p(z) y((2))(z) + q(z) y((1))(z) + r(z) y(z) = f (z) via Taylor matrix method. Then we illustrate these solutions by some given applications.