ЧИСЛЕННОЕ РЕШЕНИЕ УРАВНЕНИЯ КОНВЕКЦИИ-ДИФФУЗИИ ДРОБНОГО ПОРЯДКА ДЛЯ ПРОГНОЗА ЗАГРЯЗНЕНИЯ ВОЗДУХА

В работе представлен численный метод решения уравнения конвекции-диффузии с производными дробного порядка в смысле Капуто для моделирования загрязнения воздуха в городской среде. Разработанная конечно-элементная схема учитывает эффекты памяти, обеспечивая более точное описание переноса загрязняющих веществ по сравнению с классическими моделями. Теоретически доказаны устойчивость и сходимость метода, что подтверждено численными экспериментами. Модель эффективно определяет зоны накопления загрязнений и позволяет прогнозировать качество воздуха при различных метеоусловиях. Результаты исследования имеют практическое значение для совершенствования систем экологического мониторинга и планирования мер по снижению загрязненности воздуха.

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