NUMERICAL STABILITY ANALYSIS OF NUMERICAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH DELAY ARGUMENT

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

Key words: singular perturbation, initial layer, asymptotic expansion, Volterra integral equation, delay, stability regions, reducible quadrature methods, θ-methods

Tian Hong-jiong;Kuang Jiao-xun. NUMERICAL STABILITY ANALYSIS OF NUMERICAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH DELAY ARGUMENT. Applied Mathematics and Mechanics (English Edition), 1995, 16(5): 485-491.

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References

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