Author/Authors :
Sezer, Mehmet Muğla University - Faculty of Science - Department of Mathematics, Turkey , Daşcıoğlu, Ayşegül Akyüz Pamukkale University - Faculty of Science - Department of Mathematics, Turkey
Title Of Article :
A Polynomial Approximation for Solutions of Linear Differential Equations in Circular Domains of the Complex Plane
Abstract :
In this paper we give a polynomial approach to the solution of higher order linear complex differential equations in the circular domains. The used collocation method is essentially based on the matrix representations of the truncated Taylor series of the expressions in equation and their derivatives, which consist of collocation points defined in the given domains. Some numerical examples with the mixed conditions are given to show the properties of the technique.
NaturalLanguageKeyword :
Taylor Collocation method , Polynomial approximation , Complex differential equations.
JournalTitle :
Erciyes University Journal Of The Institute Of Science and Technology
