Fractional Multistep Methods for Weakly Singular Volterra Integral Equations of the First Kind with Perturbed Data

DOI10.1081/NFA-200064396zbMath1079.65137MaRDI QIDQ5462833

Robert Plato

Publication date: 27 July 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsBDF methodsregularization methodweakly singular kernelsbackward differentiation formula methodVolterra integral equations of the first kindfractional multistep methodsbackwards Euler scheme

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Inverse problems for integral equations (45Q05)

Related Items

The Product Midpoint Rule for Abel-Type Integral Equations of the First Kind with Perturbed Data ⋮ Singular expansions and collocation methods for generalized Abel integral equations ⋮ The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind ⋮ Numerical analysis of fractional Volterra integral equations via Bernstein approximation method ⋮ The regularizing properties of multistep methods for first kind Volterra integral equations with smooth kernels ⋮ Solution of singular integral equations via Riemann-Liouville fractional integrals ⋮ Bernstein polynomials based iterative method for solving fractional integral equations ⋮ Hybrid Operators for Approximating Nonsmooth Functions and Applications on Volterra Integral Equations with Weakly Singular Kernels

Cites Work

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