Hermite-Type Method for Volterra Integral Equation with Certain Weakly Singular Kernel

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Abstract

We discuss the Hermite-type collocation method for the solution of Volterra integral equation with weakly singular kernel. The constructed approximation is a cubic spline in the continuity class C$^1$. We prove that this method is convergent with order of four.

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Hermite-Type Method for Volterra Integral Equation with Certain Weakly Singular Kernel. (2021). Journal of Computational Mathematics, 13(4), 306-314. https://www.global-sci.com/index.php/JCM/article/view/11185