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A Higher-Order L1-2-3 Numerical Method for Time-Fractional Volterra Integrodifferential Equations

Author

Listed:
  • Aynalem Tafere Chekole
  • Mesfin Mekuria Woldaregay
  • Kewani Welay Brhane
  • Gemechis File Duressa

Abstract

This paper investigates the numerical solution of time-fractional Volterra integrodifferential equations that arise in many real-life problems. A higher-order numerical scheme is proposed using the L1-2-3 method for the time-fractional derivative, Simpson’s 1/3 rule approximates the integral part, and the spatial derivatives are approximated using the central finite difference method. The stability and convergence analysis of the proposed method is presented. The method’s efficiency is verified through illustrative examples, and the results are compared with those reported in other works.

Suggested Citation

  • Aynalem Tafere Chekole & Mesfin Mekuria Woldaregay & Kewani Welay Brhane & Gemechis File Duressa, 2026. "A Higher-Order L1-2-3 Numerical Method for Time-Fractional Volterra Integrodifferential Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2026, pages 1-31, August.
    • Handle: RePEc:hin:jijmms:3935529
    DOI: 10.1155/ijmm/3935529
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