A Nonlinear Volterra Integrodifferential Equation Describing the Stretching of Polymeric Liquids

DOI10.1137/0514006zbMath0507.45013OpenAlexW2028350402MaRDI QIDQ4744758

Michael Renardy, Peter Alexander Markowich

Publication date: 1983

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

Full work available at URL: https://semanticscholar.org/paper/797e7133f426b96a3d18ce76565d68eb620b5911

zbMATH Keywords

convergencesingular perturbationnonlinear Volterra equationunique solutionviscoelastic liquidspolymeric liquids

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Viscoelastic fluids (76A10) Asymptotics of solutions to integral equations (45M05)

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A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations ⋮ Qualitative behaviour of numerical approximations to Volterra integro-differential equations ⋮ Implicit Runge-Kutta methods for singularly perturbed integro-differential systems ⋮ A survey of singularly perturbed Volterra equations ⋮ Collocation Methods for Nonlinear Volterra Integro-Differential Equations with Infinite Delay ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ Bifurcation from rotating waves ⋮ Numerical solutions of integral and integro-differential equations using Legendre polynomials ⋮ Iterative Continuous Collocation Method for Solving nonlinear Volterra Integro-differential Equations ⋮ Numerical solution of delay integro‐differential equations by using Taylor collocation method ⋮ The numerical treatment of Volterra integro-differential equations with unbounded delay ⋮ Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method ⋮ Extended backward differentiation formulae in the numerical solution of general Volterra integro-differential equations ⋮ Recent advances in the continuum mechanics of viscoelastic liquids

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