New Numerical Method for Volterra Integral Equationof the Second Kind in Piezoelastic Dynamic Problems

DING Hao-jiang; WANG Hui-ming; CHEN Wei-qiu

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(1): 15-21

DING Hao-jiang, WANG Hui-ming, CHEN Wei-qiu. New Numerical Method for Volterra Integral Equationof the Second Kind in Piezoelastic Dynamic Problems[J]. Applied Mathematics and Mechanics, 2004, 25(1): 15-21.

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New Numerical Method for Volterra Integral Equationof the Second Kind in Piezoelastic Dynamic Problems

1.
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R. China;

Received Date: 2002-11-01
Rev Recd Date: 2003-08-03
Publish Date: 2004-01-15

Abstract

Abstract

The elastodynamic problems of piezoelectric hollow cylinders and spheres under radial deformation can be transformed into a second kind Volterra integral equation about a function with respect to time,which greatly simplifies the solving procedure for such elastodynamic problems.Meanwhile,it becomes very important to find a way to solve the second kind Volterra integral equation effectively and quickly.By using an interpolation function to approadmate the unknown function,two new recursive formulae were derived,based on which numerical solution can be obtained step by step.The present method can provide accurate numerical results efficiently.It is also very stable for long time calculating.
- piezoelectric,
- elastodynamic problem,
- Volterra integral equation,
- numerical solution,
- recursive formulae

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References(15)

References

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