On Numerically Solving Nonlinear Volterra Integral Equations with Fewer Computations

DOI10.1137/0713058zbMath0404.65064OpenAlexW1986817096MaRDI QIDQ4190081

John M. Bownds, Bruce Wood

Publication date: 1976

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0713058

zbMATH Keywords

ConvergenceNumerical ExamplesVolterra Integral EquationNumerical SolutionTruncation ErrorFinite Rank KernelTaylor PolynomialsApproximation ErrorInterpolating PolynomialsFinite RankMethods For ApproximationNumerical Initial-Value SolverTensor Products of Variation- Diminishing SplinesVolterra- Hammerstein Problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (17)

A fast iterative method for discretized Volterra-Fredholm integral equations ⋮ Computation of the forcing term for boundary flow through a permeable boundary ⋮ A formal solution to a classical initial-boundary value problem in groundwater hydraulics ⋮ On the stability of multistep formulas for Volterra integral equations of the second kind ⋮ An extrapolation method with step size control for nonlinear Volterra integral equations ⋮ Theory and performance of a subroutine for solving Volterra integral equations ⋮ A numerical approach to the solution of Abel integral equations of the second kind with nonsmooth solution ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ On an initial-value method for quickly solving Volterra integral equations: A review ⋮ On a method of Bownds for solving Volterra integral equations ⋮ Boundary and initial-value methods for solving Fredholm equations with semidegenerate kernels ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems ⋮ The conversion of Fredholm integral equations to equivalent Cauchy problems. II: Computation of resolvents ⋮ A note on solving Volterra integral equations with convolution kernels ⋮ A modified Galerkin approximation method for Volterra equations with smooth kernels ⋮ On Solving Weakly Singular Volterra Equations of the First Kind with Galerkin Approximations ⋮ Some new observations on the classical logistic equation with heredity

This page was built for publication: On Numerically Solving Nonlinear Volterra Integral Equations with Fewer Computations