Numerical Solution of Weakly Regular Volterra Integral Equations of the First Kind

2014/03/15 by Denis Sidorov, Sidorov, Denis, Aleksandr Tynda +3
Mathematics · #45D05 #65R20 #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1403.3764

openalex publication_date 2014/03/15 · openalex created_date 2016/09/16 · openalex updated_date 2026/08/01

Abstract

The numerical method for solution of the weakly regular scalar Volterra integral equation of the 1st kind is proposed. The kernels of such equations have jump discontinuities on the continuous curves which starts at the origin. The mid-rectangular quadrature rule is employed. The accuracy of proposed numerical method is O(1/N).

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