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Enhancing mathematical simulation: a novel integro spline quasi-interpolation for nonlocal dynamical systems.

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Title: Enhancing mathematical simulation: a novel integro spline quasi-interpolation for nonlocal dynamical systems.
Authors: Tanha, N.1 (AUTHOR), Parsa Moghaddam, B.1 (AUTHOR) parsa@liau.ac.ir, Ilie, M.2 (AUTHOR)
Source: International Journal of Modelling & Simulation. Feb2026, Vol. 46 Issue 1, p74-88. 15p.
Subjects: Initial value problems, Dynamical systems, Interpolation, Numerical calculations, Interpolation algorithms, Riccati equation, Computer simulation
Abstract: In this research, we present a novel and computationally streamlined method to tackle nonlocal initial value problems through a combination of modeling and simulation. Our approach utilizes the Integro spline quasi-interpolation technique, renowned for its effectiveness in approximating nonlocal integrals. To validate the efficacy of our proposed method, we conduct comprehensive comparisons with alternative approaches found in the existing literature for integrating nonlocal functions. Additionally, we successfully apply our suggested approach to address nonlocal Riccati, resistor-inductor circuit, and Airy oscillator dynamical systems. The numerical results obtained from these applications convincingly demonstrate the advantages and effectiveness of our developed approach in enhancing mathematical simulation. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd 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.)
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PubType: Academic Journal
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  Data: Enhancing mathematical simulation: a novel integro spline quasi-interpolation for nonlocal dynamical systems.
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  Data: <searchLink fieldCode="AR" term="%22Tanha%2C+N%2E%22">Tanha, N.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Parsa+Moghaddam%2C+B%2E%22">Parsa Moghaddam, B.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> parsa@liau.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Ilie%2C+M%2E%22">Ilie, M.</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modelling+%26+Simulation%22">International Journal of Modelling & Simulation</searchLink>. Feb2026, Vol. 46 Issue 1, p74-88. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Initial+value+problems%22">Initial value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation%22">Interpolation</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation+algorithms%22">Interpolation algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Riccati+equation%22">Riccati equation</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
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  Label: Abstract
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  Data: In this research, we present a novel and computationally streamlined method to tackle nonlocal initial value problems through a combination of modeling and simulation. Our approach utilizes the Integro spline quasi-interpolation technique, renowned for its effectiveness in approximating nonlocal integrals. To validate the efficacy of our proposed method, we conduct comprehensive comparisons with alternative approaches found in the existing literature for integrating nonlocal functions. Additionally, we successfully apply our suggested approach to address nonlocal Riccati, resistor-inductor circuit, and Airy oscillator dynamical systems. The numerical results obtained from these applications convincingly demonstrate the advantages and effectiveness of our developed approach in enhancing mathematical simulation. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd 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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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/02286203.2024.2327262
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 15
        StartPage: 74
    Subjects:
      – SubjectFull: Initial value problems
        Type: general
      – SubjectFull: Dynamical systems
        Type: general
      – SubjectFull: Interpolation
        Type: general
      – SubjectFull: Numerical calculations
        Type: general
      – SubjectFull: Interpolation algorithms
        Type: general
      – SubjectFull: Riccati equation
        Type: general
      – SubjectFull: Computer simulation
        Type: general
    Titles:
      – TitleFull: Enhancing mathematical simulation: a novel integro spline quasi-interpolation for nonlocal dynamical systems.
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            NameFull: Tanha, N.
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            NameFull: Parsa Moghaddam, B.
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            NameFull: Ilie, M.
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 46
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            – TitleFull: International Journal of Modelling & Simulation
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