Numerical Stahility Analysis of Numerical Nethods for Volterra integral Equations with Delay Argument

Tian Hong-jiong; Kuang Jiao-xun

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(5): 451-457

Tian Hong-jiong, Kuang Jiao-xun. Numerical Stahility Analysis of Numerical Nethods for Volterra integral Equations with Delay Argument[J]. Applied Mathematics and Mechanics, 1995, 16(5): 451-457.

Citation:

Tian Hong-jiong, Kuang Jiao-xun. Numerical Stahility Analysis of Numerical Nethods for Volterra integral Equations with Delay Argument[J]. Applied Mathematics and Mechanics, 1995, 16(5): 451-457.

Citation:

Tian Hong-jiong, Kuang Jiao-xun. Numerical Stahility Analysis of Numerical Nethods for Volterra integral Equations with Delay Argument[J]. Applied Mathematics and Mechanics, 1995, 16(5): 451-457.

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Numerical Stahility Analysis of Numerical Nethods for Volterra integral Equations with Delay Argument

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

Received Date: 1994-05-23
Publish Date: 1995-05-15

Abstract

Abstract

The present paper deals with the stability properties of numerical methods for Volterra integral equations with delay argument. We assess the numerical stability of nunterical methods with respect to the followhlg test equations where τ is a positive constant, and p and q are complex valued. We investigate the stability properties of reducible quadrature method and θ-methods in the case of the above test equations.
- Volterra integral equation,
- delay,
- stability regions,
- reducible quadrature methods,
- θ-methods

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References(19)

References

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