Symbolic-numerical solution of systems of linear ordinary differential equations with required accuracy

In the paper, a symbolic-numerical algorithm for solving systems of ordinary linear differential equations with constant coefficients and compound right-hand sides. The algorithm is based on the Laplace transform. A part of the algorithm determines the error of calculation that is sufficient for the...

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Bibliographic Details
Published in:Programming and computer software Vol. 39; no. 3; pp. 150 - 157
Main Authors: Malaschonok, N. A., Rybakov, M. A.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.05.2013
Springer Nature B.V
Subjects:
Accuracy
Algorithms
Artificial Intelligence
Computer programs
Computer Science
Differential equations
Laplace transforms
Mathematical analysis
Mathematical models
Numerical analysis
Operating Systems
Programming
Software Engineering
Software Engineering/Programming and Operating Systems
Partial Fraction
Computer Algebra
Require Accuracy
Algebraic System
Linear Differential Equation
ISSN:0361-7688, 1608-3261
Online Access:Get full text
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Summary:In the paper, a symbolic-numerical algorithm for solving systems of ordinary linear differential equations with constant coefficients and compound right-hand sides. The algorithm is based on the Laplace transform. A part of the algorithm determines the error of calculation that is sufficient for the required accuracy of the solution of the system. The algorithm is efficient in solving systems of differential equations of large size and is capable of choosing methods for solving the algebraic system (the image of the Laplace transform) depending on its type; by doing so the efficiency of the solution of the original system is optimized. The algorithm is a part of the library of algorithms of the Mathpar system [15].
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ISSN:0361-7688
1608-3261
DOI:10.1134/S0361768813030043