An Explicit Numerical Technique for Nonlinear Nonlocal Time-Delay Dynamical Systems via Quadratic Spline Approach

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Panj Mini H.; PARSA MOGHADDAM B.; HASHEMIZADEH E.

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Journal Paper

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Journal: International Journal of Industrial Mathematics Year:2022 | Volume:14 | Issue:1 Page(s): 129-138

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Title

An Explicit Numerical Technique for Nonlinear Nonlocal Time-Delay Dynamical Systems via Quadratic Spline Approach

Author(s)

Panj Mini H. | PARSA MOGHADDAM B. | HASHEMIZADEH E.

Keywords

Fractional calculus

Fractional delay di

erential equation

Numerical method

Chaotic attractor

Quadratic spline interpolation

Ikeda model

Hutchinson model

Abstract

Dynamical systems with delay are widespread in nature. The study of time-delay induced changes in the collective behavior of systems of coupled nonlinear oscillators is a subject of great interest, both because of its fundamental importance from the point of view of dynamical systems and because of its practical applications. In this paper, an explicit technique is proposed for numerical solution of nonlocal dynamical systems with time delay. The proposed method is adopted Quadratic spline interpolation. Then, the error analysis of the developed method is discussed. It is exploited in the discussion of nonlocal delay Ikeda and Hutchinson models. Finally, the performance of the presented approach is veri ed by applying the error and convergence study for di erent values of fractional order parameters.

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APA: Copy

Panj Mini, H., PARSA MOGHADDAM, B., & HASHEMIZADEH, E.. (2022). An Explicit Numerical Technique for Nonlinear Nonlocal Time-Delay Dynamical Systems via Quadratic Spline Approach. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 14(1), 129-138. SID. https://sid.ir/paper/968775/en

Vancouver: Copy

Panj Mini H., PARSA MOGHADDAM B., HASHEMIZADEH E.. An Explicit Numerical Technique for Nonlinear Nonlocal Time-Delay Dynamical Systems via Quadratic Spline Approach. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2022;14(1):129-138. Available from: https://sid.ir/paper/968775/en

IEEE: Copy

H. Panj Mini, B. PARSA MOGHADDAM, and E. HASHEMIZADEH, “An Explicit Numerical Technique for Nonlinear Nonlocal Time-Delay Dynamical Systems via Quadratic Spline Approach,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 14, no. 1, pp. 129–138, 2022, [Online]. Available: https://sid.ir/paper/968775/en

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