4.6 Article

The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs

Journal

NEURAL COMPUTING & APPLICATIONS
Volume 30, Issue 8, Pages 2595-2606

Publisher

SPRINGER LONDON LTD
DOI: 10.1007/s00521-017-2845-7

Keywords

Integrodifferential algebraic systems; Temporal boundary value problems; Reproducing kernel theory; Volterra operator

Ask authors/readers for more resources

Many problems arising in different fields of sciences and engineering can be reduced, by applying some appropriate discretization, either to a system of integrodifferential algebraic equations or to a sequence of such systems. The aim of the present analysis is to implement a relatively recent computational method, reproducing kernel Hilbert space, for obtaining the solutions of integrodifferential algebraic systems of temporal two-point boundary value problems. Two extended inner product spaces W[0,1] and H[0,1] are constructed in which the boundary conditions of the systems are satisfied, while two smooth kernel functions R-t(s) and r(t)(s) are used throughout the evolution of the algorithm in order to obtain the required grid points. An efficient construction is given to obtain the numerical solutions for the systems together with an existence proof of the exact solutions based upon the reproducing kernel theory. In this approach, computational results of some numerical examples are presented to illustrate the viability, simplicity, and applicability of the algorithm developed.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available