Numerical methods for singular nonlinear integrodifferential equations

DOI10.1016/0168-9274(87)90051-1zbMath0631.65142OpenAlexW2012856639MaRDI QIDQ1094853

Ernst Hairer, Peter Maass

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0168-9274(87)90051-1

zbMATH Keywords

stabilityconvergenceturbulent fluidweak singularityfractional linear multistep methodVolterra integrodifferential equationsBasset's integrodifferential equationsingular nonlinear integrodifferential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Turbulence (76F99) Singular nonlinear integral equations (45G05)

Related Items

Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives ⋮ Convolution quadrature and discretized operational calculus. II ⋮ Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels ⋮ Numerical solutions of integral and integro-differential equations using Legendre polynomials ⋮ Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel ⋮ One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives ⋮ Polynomial spline collocation methods for the nonlinear Basset equation ⋮ General Basset–Boussinesq–Oseen equation: existence, uniqueness, approximation and regularity of solutions

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