Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

The aim of the present analysis is to implement a relatively recent computational algorithm, reproducing kernel Hilbert space, for obtaining the solutions of systems of first-order, two-point boundary value problems for ordinary differential equations. The reproducing kernel Hilbert space is constru...

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Bibliographic Details
Published in:	Calcolo Vol. 55; no. 3; pp. 1 - 28
Main Author:	Abu Arqub, Omar
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.09.2018 Springer Nature B.V
Subjects:	Algorithms Boundary value problems Computation Computer simulation Differential equations Evolutionary algorithms Hilbert space Kernel functions Mathematics Mathematics and Statistics Numerical Analysis Numerical methods Ordinary differential equations Simulated annealing Theory of Computation Viability Boundary value problems 34B15 Gram–Schmidt process Reproducing kernel algorithm 34K28 47B32 Initial–final conditions
ISSN:	0008-0624, 1126-5434
Online Access:	Get full text
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