شماره ركورد كنفرانس :
4091
عنوان مقاله :
A new approach for solving Volterra integro-diffierential equations using the reproducing kernel method
پديدآورندگان :
Ketabchi Razieh ra-ketabchi@yahoo.com Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Isfahan, Iran.
كليدواژه :
Reproducing kernel method , integro , differential equations , Gram , Schmidt orthogonalization process
عنوان كنفرانس :
ششمين سمينار آناليز عددي و كاربردهاي آن
چكيده فارسي :
This paper is concerned with a technique for solving Volterra integro-differential equations
in the reproducing kernel Hilbert space. In contrast with the conventional reproducing kernel
method, the Gram-Schmidt process is omitted here and satisfactory results are obtained.The
convergence analysis is established theoretically. The applicability of the iterative method is
demonstrated by testing some various examples.
