Product integration methods for an integral equation with logarithmic singular kernel

DOI10.1016/0168-9274(92)90020-EzbMath0749.65099OpenAlexW2085551700MaRDI QIDQ1189143

Teresa Diogo, Sean McKee, Tao Tang

Publication date: 26 September 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90020-e

zbMATH Keywords

Euler's methodproduct trapezoidal methodproduct integration methodslogarithmic singular kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Numerical methods for a Volterra integral equation with nonsmooth solutions, An extrapolation method for a Volterra integral equation with weakly singular kernel, Numerical solution of nonlinear Volterra-Fredholm integro-differential equations, Linearization method for solving nonlinear integral equations, Numerical modelling of qualitative behaviour of solutions to convolution integral equations, Discrete collocation method for Volterra type weakly singular integral equations with logarithmic kernels, Solution of a class of Volterra integral equations with singular and weakly singular kernels, Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations, A Nyström interpolant for some weakly singular linear Volterra integral equations, Numerical analysis of a singular integral equation, Second-Kind Linear Volterra Integral Equations with Noncompact Operators, Product integration method for Volterra integral equation with noncompact kernel, Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods

Cites Work

• Inversion of one integral operator by the method of expansion with respect to orthogonal Watson operators
• On an integral equation of Šub-Sizonenko
• A spectral approach to an integral equation
• The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
• Numerical methods for Volterra integral equations of the first kind
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