CLC number: O347.1; O241.8
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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DING Hao-jiang, WANG Hui-ming. Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems[J]. Journal of Zhejiang University Science A, 2005, 6(9): 928-932.
@article{title="Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems",
author="DING Hao-jiang, WANG Hui-ming",
journal="Journal of Zhejiang University Science A",
volume="6",
number="9",
pages="928-932",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0928"
}
%0 Journal Article
%T Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems
%A DING Hao-jiang
%A WANG Hui-ming
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 9
%P 928-932
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0928
TY - JOUR
T1 - Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems
A1 - DING Hao-jiang
A1 - WANG Hui-ming
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 9
SP - 928
EP - 932
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A0928
Abstract: The elastodynamic problems of magneto-electro-elastic hollow cylinders in the state of axisymmetric plane strain case can be transformed into two volterra integral equations of the second kind about two functions with respect to time. Interpolation functions were introduced to approximate two unknown functions in each time subinterval and two new recursive formulae are derived. By using the recursive formulae, numerical results were obtained step by step. Under the same time step, the accuracy of the numerical results by the present method is much higher than that by the traditional quadrature method.
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