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Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

Author

Listed:
  • Zhiyuan Li
  • Meichun Wang
  • Yulan Wang
  • Jing Pang

Abstract

This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials. Reproducing kernel function in the form of Jacobi polynomials is established for the first time. It is implemented as a reproducing kernel method. The numerical solutions obtained by taking the different values of parameter are compared; Schmidt orthogonalization process is avoided. It is proved that this method is feasible and accurate through some numerical examples.

Suggested Citation

  • Zhiyuan Li & Meichun Wang & Yulan Wang & Jing Pang, 2020. "Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-12, March.
    • Handle: RePEc:hin:jnlamp:8101843
    DOI: 10.1155/2020/8101843
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    Cited by:

    1. Che, Han & Wang, Yu-Lan & Li, Zhi-Yuan, 2022. "Novel patterns in a class of fractional reaction–diffusion models with the Riesz fractional derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 149-163.
    2. 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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