A modified Galerkin approximation method for Volterra equations with smooth kernels

DOI10.1016/0096-3003(78)90027-9zbMath0406.65056OpenAlexW2064064104MaRDI QIDQ1257761

John M. Bownds

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0096-3003(78)90027-9

zbMATH Keywords

Numerical SolutionInitial Value ProblemNumerical ComputationsSystem of Ordinary Differential EquationsApproximation ErrorGalerkin Approximation MethodStep-Size ControlTheoretical Analysis of the ErrorVolterra-Hammerstein 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 (4)

Theory and performance of a subroutine for solving Volterra integral equations ⋮ The quasi-elastic method of solution for a class of integrodifferential equations ⋮ Boundary and initial-value methods for solving Fredholm equations with semidegenerate kernels ⋮ A smoothed projection method for singular, nonlinear Volterra equations

Cites Work

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• A new approach to the numerical solution of integral equations
• Efficient algorithms for Volterra integral equations of the second kind
• A note on solving Volterra integral equations with convolution kernels
• Solving Nonlinear Second Kind Volterra Equations by Modified Increment Methods
• On Solving Weakly Singular Volterra Equations of the First Kind with Galerkin Approximations
• On Numerically Solving Nonlinear Volterra Integral Equations with Fewer Computations
• Differential Approximation Applied to the Solution of Convolution Equations
• Linear Multistep Methods for Volterra Integro-Differential Equations

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