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Результаты эксперимента – исследование термодинамических свойств воды и водяного пара в состоянии насыщения - представлены в табл. 6.4. Рассчитать промежуточное значение давления насыщенного пара P при заданном значении температуры T, используя интерполяционные формулы Ньютона. Сравнить полученные результаты. Расчеты проводить с тремя разрядами. P(170°С) Заранее большое спасибо
Показанная Вами таблица с исходными данными состоит из двух частей. Строки с данными в первой части имеют номера от 0 до 4, во второй части -- от 0 до 3. Правильно ли я понимаю, что для решения Вашего задания нужно использовать данные только в первой части?
Показанная Вами таблица с исходными данными состоит из двух частей. Строки с данными в первой части имеют номера от 0 до 4, во второй части -- от 0 до 3. Правильно ли я понимаю, что для решения Вашего задания нужно использовать данные только в первой части?
Предположим, что исходные данные для расчёта представлены в таблице ниже.
Значение аргумента для которого нужно вычислить значение давления насыщенного пара, принадлежит правой половине отрезка поэтому воспользуемся второй интерполяционной формулой; получим
Число узловых точек максимальная степень интерполяционного полинома
Вычислим конечные разности для функции и сведём их в следующую таблицу.
Подставляя данные из таблицы в формулу (1), получим
Воспользуемся первой интерполяционной формулой; получим
При этом
Подставляя данные из таблицы в формулу (2), получим
Результаты вычислений по обеим формулам совпали:
Об авторе:
Facta loquuntur.
Форма ответа
Отправка постов/ответов доступна только зарегистрированным и подтвержденным пользователям.
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:
Гордиенко Андрей Владимирович 
для которого нужно вычислить значение 
давления насыщенного пара, принадлежит правой половине отрезка 
поэтому воспользуемся второй интерполяционной формулой; получим
максимальная степень интерполяционного полинома 
и сведём их в следующую таблицу.
