A note on solving Volterra integral equations with convolution kernels

DOI10.1016/0096-3003(77)90016-9zbMath0404.65065OpenAlexW2028209592MaRDI QIDQ1256844

Bruce Wood, John M. Bownds

Publication date: 1977

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(77)90016-9

zbMATH Keywords

Volterra Integral EquationsNumerical ExamplesNumerical SolutionInitial Value ProblemSystem of Ordinary Differential EquationsApproximation of the KernelBest Uniform PolynomialsFinite Chebyshev ExpansionsFinite Rank KernelInterpolation PolynomialsTaylor PolynomialsVolterra-Hammerstein Convolution Integral Equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Multidimensional problems (41A63) Approximation by polynomials (41A10) Volterra integral equations (45D05)

Related Items (10)

Solution of structured non-stiff ODEs ⋮ Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels ⋮ An inverse problem of a linear dynamic system with noise ⋮ Theory and performance of a subroutine for solving Volterra integral equations ⋮ On an initial-value method for quickly solving Volterra integral equations: A review ⋮ On a method of Bownds for solving Volterra integral equations ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems. II: Computation of resolvents ⋮ A smoothed projection method for singular, nonlinear Volterra equations ⋮ A modified Galerkin approximation method for Volterra equations with smooth kernels ⋮ On Solving Weakly Singular Volterra Equations of the First Kind with Galerkin Approximations

Cites Work

• Linear multistep methods for the numerical solution of volterra functional differential equations^†
• On Numerically Solving Nonlinear Volterra Integral Equations with Fewer Computations
• Errors in Interpolating Functions at the Zeros of $T_{n + 1} (x)$
• Linear Multistep Methods for Volterra Integro-Differential Equations
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
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