Analytical and numerical solutions of a class of nonlinear integro-differential equations with L1 kernels

Author:

Xu Da

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference23 articles.

1. Exponential decay of the viscoelatic Euler–Bernoulli equation with a nonlocal dissipation in general domains;Cavalcanti;Differential Integral Equations,2004

2. Asymptotic stability in viscoelasticity;Dafermos;Arch. Ration. Mech. Anal.,1970

3. An abstract Volterra equation with applications to linear viscoelasticity;Dafermos;J. Differential Equations,1970

4. On the thermodynamic foundations of viscoelasticity;Lebon;J. Chem. Phys.,1988

5. Boundary controllability of a viscoelastic string;Leugering,1989

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3. Refinement of SOR Iterative Method for the Linear Rational Finite Difference Solution of Second-Order Fredholm Integro-Differential Equations;Malaysian Journal of Mathematical Sciences;2022-01-31

4. Difference derivative for an integro-differential nonlinear Volterra equation;Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki;2020-06

5. Analysis of error estimate for expanded H1 - Galerkin MFEM of PIDEs with nonlinear memory;INTERNATIONAL CONFERENCE ON EMERGING APPLICATIONS IN MATERIAL SCIENCE AND TECHNOLOGY: ICEAMST 2020;2020

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