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Independence Polynomial-Based Approach for Fredholm–Volterra Integro-Differential Problems of High Order

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  • Fatma Kaci

Abstract

A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high-order linear Fredholm–Volterra integro-differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the independence coefficients. To demonstrate the method’s validity and efficiency, several numerical examples are presented, with comparisons to existing results made in selected cases. The computations were performed in MATLAB.

Suggested Citation

  • Fatma Kaci, 2026. "Independence Polynomial-Based Approach for Fredholm–Volterra Integro-Differential Problems of High Order," Advances in Mathematical Physics, Hindawi, vol. 2026, pages 1-10, August.
    • Handle: RePEc:hin:jnlamp:6535570
    DOI: 10.1155/admp/6535570
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