Exact Three-Point Scheme and Schemes of High Order of Accuracy for a Forth-Order Ordinary Differential Equation

We propose an exact three-point scheme and schemes of high order of accuracy, which are two systems of linear algebraic equations. Each equation of the system contains five unknown values of the exact solution and its first derivative at three grid points on the interval. In constructing the scheme,...

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Bibliographic Details
Published in:	Cybernetics and systems analysis Vol. 56; no. 4; pp. 566 - 576
Main Author:	Prikazchikov, V.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2020 Springer Springer Nature B.V
Subjects:	Accuracy Algorithms Artificial Intelligence Control Differential equations Exact solutions Linear algebra Linear equations Mathematical analysis Mathematics Mathematics and Statistics Matrix methods Ordinary differential equations Processor Architectures Software Engineering/Programming and Operating Systems Superposition (mathematics) Systems Theory system of linear algebraic equations exact scheme superposition of solutions forth-order differential equation Green function boundary-value problem spectral problem Cauchy problem Wronskian scheme of high order of accuracy linearly independent solutions grid method tridiagonal matrix algorithm functional series
ISSN:	1060-0396, 1573-8337
Online Access:	Get full text
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