AN ALTERNATIVE TECHNIQUE FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Authors : Neşe Dernek, Fatih Aylikçi, Sevil Kivrak

Pages : 68-79

View : 34 | Download : 11

Publication Date : 2016-04-15

Article Type : Research

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