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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.9 P.928-932

http://doi.org/10.1631/jzus.2005.A0928


Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems


Author(s):  DING Hao-jiang, WANG Hui-ming

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   wanghuiming@zju.edu.cn

Key Words:  Magneto-electro-elastic, Elastodynamic problem, Volterra integral equation, Numerical solution, Recursive formula


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.

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doi="10.1631/jzus.2005.A0928"
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T1 - Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems
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J0 - Journal of Zhejiang University Science A
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EP - 932
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PB - Zhejiang University Press & Springer
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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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[8] Maleknejad, K., Shahrezaee, M., 2004. Using Runge-Kutta method for numerical solution of the system of Volterra integral equation. Appl. Math. Comput., 149(2):399-410.

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