Abstract:
A family of first- and second-order accurate noniterative numerical methods is constructed for solving systems of nonlinear Volterra integral equations of the second kind. The methods are examined for $A$-, $L$-, and $P$-stability. The conclusions are illustrated by numerical results obtained for test equations with stiff and oscillating components.
Key words:nonlinear Volterra integral equations of the second kind, difference schemes, $A$-stability, $L$-stability, $P$-stability.