AN ALTERNATIVE TECHNIQUE FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Dernek A. N., Aylıkcı F., Kıvrak S.

KONURALP JOURNAL OF MATHEMATICS, no.4, pp.68-79, 2016 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Journal Name: KONURALP JOURNAL OF MATHEMATICS
  • Page Numbers: pp.68-79
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, a new method for solving ordinary differential equations is given by using the generalized Laplace transform Ln. Firstly, the authors introduce a differential operator δ that is called the δ-derivative. A relation between the Ln-transform of the δ-derivative of a function and the Lntransform of the function itself are derived. Then, the convolution theorem is proven. Using obtained theorems, a few initial-value problems for ordinary differential equations are solved as illustrations.