Numerical Solution of Delay Differential Equations via the Reproducing Kernel Hilbert Spaces Method
Reham K. Alshehri, Banan S. Maayah, Abdelhalim Ebaid
Asian Research Journal of Mathematics · pp. 1–14 · Published 27 Nov 2020
10.9734/arjom/2020/v16i1130237Abstract
Delay differential equations (DDEs) are generalization of the ordinary differential equation (ODEs), which is suitable for physical system that also depends on the past data. In this paper, the Reproducing Kernel Hilbert Spaces (RKHS) method is applied to approximate the solution of a general form of first, second and third order fractional DDEs (FDDEs). It is a relatively new analytical technique. The analytical and approximate solutions are represented in terms of series in the RKHS.
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