Optimal convergence of an Euler and finite difference method for nonlinear partial integro-differential equations-Reference-Cited by-同舟云学术

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Optimal convergence of an Euler and finite difference method for nonlinear partial integro-differential equations

Published:1995-05 Issue:10 Volume:21 Page:1-11
ISSN:0895-7177
Container-title:Mathematical and Computer Modelling
language:en
Short-container-title:Mathematical and Computer Modelling

Author:

Sheng Q.,Tang T.

Publisher

Elsevier BV

Subject

Computer Science Applications,Modeling and Simulation

Reference15 articles.

1. Mathematical analysis of viscoelastic flows;Renardy;Ann. Fluid Mech.,1989

2. Dynamics of Polymeric Liquids;Bird,1987

3. The nonlinear field theories of mechanics;Truesdell,1965

4. A numerical method for a partial integro-differential equation;Sanz-Serna;SIAM J. Numer. Anal.,1988

5. Viscoelasticity and Rheology;Lodge,1985

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1. A second-order accurate Crank–Nicolson finite difference method on uniform meshes for nonlinear partial integro-differential equations with weakly singular kernels;Mathematics and Computers in Simulation;2023-03

2. Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity;Communications in Nonlinear Science and Numerical Simulation;2023-01

3. A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation;International Journal of Nonlinear Sciences and Numerical Simulation;2021-08-09

4. A Crank–Nicolson-type finite-difference scheme and its algorithm implementation for a nonlinear partial integro-differential equation arising from viscoelasticity;Computational and Applied Mathematics;2020-10-14

5. The Finite Difference Methods for Fractional Ordinary Differential Equations;Numerical Functional Analysis and Optimization;2013-02

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