Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients

Pavel A. Akimov; Vladimir N. Sidorov

doi:10.4028/www.scientific.net/AMR.250-253.3652

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 250-253Correct Method of Analytical Solution of...

Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients

Abstract:

This paper is devoted to correct method of analytical solution of multipoint boundary problems of structural analysis for systems of ordinary differential equations with piecewise constant coefficients. Its major peculiarities include universality, computer-oriented algorithm involving theory of distributions, computational stability, optimal conditionality of resultant systems and partial Jordan decomposition of matrix of coefficients, eliminating necessity of calculation of root vectors.

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Periodical:

Advanced Materials Research (Volumes 250-253)

Pages:

3652-3655

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.250-253.3652

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Online since:

May 2011

Authors:

Pavel A. Akimov, Vladimir N. Sidorov

Keywords:

Correct Analytical Solution, Discrete-Continual Methods, Multipoint Boundary Problem, Piecewise Constant Coefficients, Structural Analysis, System of Ordinary Differential Equations

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References

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