An accelerated iterative technique for solving mixed Fredholm-Volterra integral equations Article Swipe

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Integral equation Convergence (economics) Iterative method Fredholm integral equation Applied mathematics Grid Computer science Mathematical optimization Volterra integral equation Mathematics Numerical analysis Rate of convergence Nyström method Algorithm Mathematical analysis Key (lock) Geometry Economic growth Economics Computer security

Aya Attia , I. L. El‐Kalla , A. Elsaid , R.A. Abd El-Monem ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.1016/j.asej.2024.102755 · OA: W4392768604

In this paper, we propose an accelerated numerical technique for solving mixed Fredholm-Volterra integral equations (MFVIEs). The MFVIE is solved using the two-grid iterative technique, which uses a small system of equations to reach higher accuracy. The convergence analysis showed that using this technique reduces computational costs by 85% compared with the direct method. We introduce an algorithm to implement this method and numerical simulations are presented to verify the accuracy rate of the theoretical analysis.