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Numerical Method for Solving Linear Viscoelasticity Equations.

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Title: Numerical Method for Solving Linear Viscoelasticity Equations.
Authors: Prikazchikov, D. A.1 (AUTHOR) prikazchikov.da@phystech.edu, Petrov, I. B.1 (AUTHOR) petrov@mipt.ru
Source: Computational Mathematics & Mathematical Physics. Jun2026, Vol. 66 Issue 6, p1043-1055. 13p.
Subjects: Viscoelasticity, Separation of variables, Fractional calculus, Volterra operators, Numerical analysis, Laminated materials
Abstract: A numerical method is proposed for solving linear viscoelasticity equations with Rabotnov-type operators. A mathematical model that takes into account the memory of the material is constructed by applying the Volterra principle and fractional integro-differentiation. An algorithm based on grid-characteristic methods and separation of variables is developed. The approach is applied to inhomogeneous media of various types, including layered composites. [ABSTRACT FROM AUTHOR]
Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 195342213
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Numerical Method for Solving Linear Viscoelasticity Equations.
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  Data: <searchLink fieldCode="DE" term="%22Viscoelasticity%22">Viscoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Separation+of+variables%22">Separation of variables</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Volterra+operators%22">Volterra operators</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Laminated+materials%22">Laminated materials</searchLink>
– Name: Abstract
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  Data: A numerical method is proposed for solving linear viscoelasticity equations with Rabotnov-type operators. A mathematical model that takes into account the memory of the material is constructed by applying the Volterra principle and fractional integro-differentiation. An algorithm based on grid-characteristic methods and separation of variables is developed. The approach is applied to inhomogeneous media of various types, including layered composites. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S0965542526700405
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 1043
    Subjects:
      – SubjectFull: Viscoelasticity
        Type: general
      – SubjectFull: Separation of variables
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: Volterra operators
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Laminated materials
        Type: general
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      – TitleFull: Numerical Method for Solving Linear Viscoelasticity Equations.
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              Text: Jun2026
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              Y: 2026
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