Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates-Reference-Cited by-同舟云学术

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Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates

Published:2024-07-31 Issue:3 Volume:61 Page:
ISSN:0008-0624
Container-title:Calcolo
language:en
Short-container-title:Calcolo

Author:

Qiu Wenlin,Li Yiqun,Zheng Xiangcheng

Funder

Taishan Scholars Program of Shandong Province

National Natural Science Foundation of China

National Key R &D Program of China

Postdoctoral Fellowship Program of CPSF

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10092-024-00607-y.pdf

Reference32 articles.

1. Bland, D.R.: The Theory of Linear Viscoelasticity. Pergamon press, New York (1960)

2. Chen, H., Zhang, C.: Block boundary value methods for solving Volterra integral and integro-differential equations. J. Comput. Appl. Math. 236, 2822–2837 (2012)

3. Gunzburger, M., Li, B., Wang, J.: Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Numer. Math. 141, 1043–1077 (2019)

4. Hannsgen, K.B.: A linear integro-differential equation for viscoelastic rods and plates. Quart. Appl. Math. 41, 75–83 (1983)

5. Hannsgen, K.B.: Indirect abelian theorems and a linear Volterra equation. Trans. Am. Math. Soc. 142, 539–555 (1969)

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1. Explicit exponential Runge–Kutta methods for semilinear time-fractional integro-differential equations;Communications in Nonlinear Science and Numerical Simulation;2025-01

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