AN ALTERNATIVE TECHNIQUE FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Dernek, Ayşe; Aylıkcı, Fatih; Kıvrak, Sevil

AN ALTERNATIVE TECHNIQUE FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

KONURALP JOURNAL OF MATHEMATICS, sa.4, ss.68-79, 2016 (Hakemli Dergi)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2016
Dergi Adı: KONURALP JOURNAL OF MATHEMATICS
Sayfa Sayıları: ss.68-79
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.