СХОДИМОСТЬ СЕТОЧНО-ИНТЕРПОЛЯЦИОННЫХ АППРОКСИМАЦИЙ РЕШЕНИЯ КВАЗИЛИНЕЙНОЙ ПАРАБОЛИЧЕСКОЙ КРАЕВОЙ ЗАДАЧИ НА ОТРЕЗКЕ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2010, Vol 17, Issue
Abstract
В статье рассматривается квазилинейная параболическая краевая задача III рода на отрезке: коэффициенты уравнения и правые части граничных условий нелинейно зависят от времени, точки и предыстории решения. Доказана сходимость разностной схемы к обобщенному решению задачи.
Authors and Affiliations
И. А. Чернов
Keywords
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