One Example of Comparison between the Efficiency of Two Approaches to Differential Equations Computational Solution

Nikolay G. Bandurin; Sergey Y. Kalashnikov

doi:10.4028/www.scientific.net/MSF.931.170

Paper Titles

Finite Element Modeling of Eigenvibrations of a Loaded Bar
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Numerical Analysis of the Exact Solution of the Wave Equation of the Longitudinal Seismic Oscillations of Soil and the Construction as a Point Insertion
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Numerical Study of the Acoustic Efficiency of Sound-Absorbing Structures with Resonators of Various Forms
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Building Structures Thermal Calculation
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One Example of Comparison between the Efficiency of Two Approaches to Differential Equations Computational Solution
p.170

Modification of the Local Variation Method to Minimize the Functionals of the Elasticity Theory
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Vibration-Based Damage Detection Techniques for Health Monitoring of Construction of a Multi-Storey Building
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An Analogue of Smirnov's Theorem in Spaces of the Functions which are Inductive Limits of some Hölder Spaces
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Comparative Analysis of Methods for Calculating Cold-Formed Steel Structures
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One Example of Comparison between the Efficiency of Two Approaches to Differential Equations Computational Solution

Abstract:

In this work we present main correlations of ordinary differential equations computational solution, based on the previously suggested interpolator procedure which differs from the known approaches with the application not to the sought-for function but to its derivative. With specific reference we show that this method of ordinary nonlinear differential equations system solving provides an error reduction by a huge ratio in comparison to the three-point difference scheme of the 5^th accuracy order.

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Periodical:

Materials Science Forum (Volume 931)

Pages:

170-173

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.931.170

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Online since:

September 2018

Authors:

Nikolay G. Bandurin, Sergey Y. Kalashnikov*

Keywords:

Computer Programs, Differential Equation, Interpolation Procedure, Numerical Technique

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References

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