Stability analysis of numerical methods for linear neutral Volterra delay-integro-differential system. (English) Zbl 1083.65129

A linear neutral Volterra delay differential system is considered. This system can be found in a wide variety of scientific and engineering fields such as biology, physics, and ecology. Particulary, it plays an important role in modelling many different phenomena of circuit analysis and chemical process simulation.
An asymptotic stability and stability analysis of numerical methods for the studied system is presented. Numerical experiments are given to demonstrate given theory.


65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45F05 Systems of nonsingular linear integral equations


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