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Приближённые методы решения интегро-дифференциальных уравнений

Приближённые методы решения интегро-дифференциальных уравнений

Abstract

В работе для численного решения сингулярного интегро-дифференциального уравнения задачи дифракции используется метод механических квадратур. Доказано, что этот метод устойчив относительно малых возмущений элементов аппроксимирующих уравнений.

In work for the numerical decision singular integro-differential equations of the problem diffraction is used method of the mechanical squarings. It is proved that this method is stable for small indignations element aproximating equations.

Keywords

ПРИБЛИЖЕННЫЕ МЕТОДЫ,ЗАДАЧА ДИФРАКЦИИ,МЕТОД МЕХАНИЧЕСКИХ КВАДРАТУР,СИНГУЛЯРНЫЕ ИНТЕГРО-ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ,АППРОКСИМИРУЮЩИЕ УРАВНЕНИЯ,ОПЕРАТОРНЫЕ УРАВНЕНИЯ,APPROXIMATE METHODS,DIFFRACTION PROBLEM,METHOD OF THE MECHANICAL SQUARING,SINGULAR AND INTEGRO-DIFFERENTIAL EQUATIONS,APROXIMATING EQUATIONS,OPERATORS EQUATIONS

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze