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Numerical solution of a linear Volterra integro-differential problem

Author

Listed:
  • González, P.
  • Kouibia, A.
  • Mustafa, B.
  • Pasadas, M.

Abstract

In this paper we develop an approximation method for numerically solving a linear Volterra integro-differential problem. The proposed method is based on a functional minimization problem in a finite-dimensional space generated by a finite Wendland’s type radial basis functions (RBFs) set. The existence and uniqueness of the solution are established and some convergence results are proved. Finally we present some numerical examples to show the effectiveness of this discrete method.

Suggested Citation

  • González, P. & Kouibia, A. & Mustafa, B. & Pasadas, M., 2025. "Numerical solution of a linear Volterra integro-differential problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 230(C), pages 493-500.
    • Handle: RePEc:eee:matcom:v:230:y:2025:i:c:p:493-500
    DOI: 10.1016/j.matcom.2024.10.036
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    References listed on IDEAS

    as
    1. Pedro González-Rodelas & Miguel Pasadas & Abdelouahed Kouibia & Basim Mustafa, 2022. "Numerical Solution of Linear Volterra Integral Equation Systems of Second Kind by Radial Basis Functions," Mathematics, MDPI, vol. 10(2), pages 1-15, January.
    2. Huaiqing Zhang & Yu Chen & Xin Nie, 2014. "Solving the Linear Integral Equations Based on Radial Basis Function Interpolation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Huaiqing Zhang & Yu Chen & Xin Nie, 2014. "Solving the Linear Integral Equations Based on Radial Basis Function Interpolation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, June.
    Full references (including those not matched with items on IDEAS)

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