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The Lucas Polynomial Solution Of Linear Volterra-Fredholm Integral Equations

Author

Listed:
  • Deniz Elmaci

    (Dokuz Eylul University, Bergama Vocational School, Izmir, Turkey)

  • Nurcan Baykus

    (Dokuz Eylul University, Bergama Vocational School, Izmir, Turkey.)

  • Savasaneril

    (Dokuz Eylul University, Izmir Vocational School, Izmir, Turkey)

Abstract

In this study, linear Volterra-Fredholm integral equations are approximatively solved in terms of Lucas polynomials about any point in this study using a practical matrix approach. This technique uses collocation points and Lucas polynomials to transform the aforementioned linear Volterra-Fredholm integral problem into a matrix equation. Lucas coefficients are unknown in the system of linear algebraic equations. With the use of an error estimation, some illustrated examples are also provided. The outcomes demonstrate how effective and practical the suggested methodology is. Code was created in MATLAB to acquire the matrix equations and answers for the chosen issues.

Suggested Citation

  • Deniz Elmaci & Nurcan Baykus & Savasaneril, 2022. "The Lucas Polynomial Solution Of Linear Volterra-Fredholm Integral Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 6(1), pages 21-25, September.
    • Handle: RePEc:zib:zbmsmk:v:6:y:2022:i:1:p:21-25
    DOI: 10.26480/msmk.01.2022.21.25
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    References listed on IDEAS

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    1. Yüzbaşı, Şuayip & Yıldırım, Gamze, 2022. "A collocation method to solve the parabolic-type partial integro-differential equations via Pell–Lucas polynomials," Applied Mathematics and Computation, Elsevier, vol. 421(C).
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