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Консультация № 186912
09.12.2012, 19:38
499.96 руб.
0
3
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Обсуждение
09.12.2012, 20:16
общий
это ответ
Здравствуйте, lightcyber!
1.
Запишем уравнение:
Решение однородного уравнения:
Далее считаем постоянную интегрирования функцией от х:
Подставив в исходное уравнение, получим:
Ответ:
2.
3.
4.
5. Метод Рунге-Кутта третьего порядка точности
Сравнение
x=0: y=2,2 (метод 1) у=2,2 (метод 2) y=2,2 (метод 3) y=2,2 (метод 4) y=2,2 (метод 5)
x=0,5: y=4,480367 (метод 1) у=4,475735 (метод 2) y=3,74 (метод 3) y=4,3415 (метод 4) y=4,451294 (метод 5)
x=1: y=9,413568 (метод 1) у=9,244283 (метод 2) y=6,483 (метод 3) y=8,800468 (метод 4) y=9,291886 (метод 5)
x=1,5: y=20,05097 (метод 1) у=18,56508 (метод 2) y=11,5211 (метод 3) y=18,10441 (метод 4) y=19,6746 (метод 5)
x=2: y=42,53729 (метод 1) у=35,20077 (метод 2) y=20,71087 (метод 3) y=37,16933 (метод 4) y=41,51148 (метод 5)
1.
Запишем уравнение:
Решение однородного уравнения:
Далее считаем постоянную интегрирования функцией от х:
Подставив в исходное уравнение, получим:
Ответ:
2.
3.
4.
5. Метод Рунге-Кутта третьего порядка точности
Сравнение
x=0: y=2,2 (метод 1) у=2,2 (метод 2) y=2,2 (метод 3) y=2,2 (метод 4) y=2,2 (метод 5)
x=0,5: y=4,480367 (метод 1) у=4,475735 (метод 2) y=3,74 (метод 3) y=4,3415 (метод 4) y=4,451294 (метод 5)
x=1: y=9,413568 (метод 1) у=9,244283 (метод 2) y=6,483 (метод 3) y=8,800468 (метод 4) y=9,291886 (метод 5)
x=1,5: y=20,05097 (метод 1) у=18,56508 (метод 2) y=11,5211 (метод 3) y=18,10441 (метод 4) y=19,6746 (метод 5)
x=2: y=42,53729 (метод 1) у=35,20077 (метод 2) y=20,71087 (метод 3) y=37,16933 (метод 4) y=41,51148 (метод 5)
5
Неизвестный
09.12.2012, 21:33
общий
Вот странность, что y_точное отличается от y_Эйлера в 2 раза
Ошибок вроде нету у меня тоже самое получалось... :D
Ошибок вроде нету у меня тоже самое получалось... :D
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