Задание на лабораторную работу
Задача 1.
Дан файл с таблично заданной
функцией f(x,y).
Требуется найти решения задачи Коши
методом Эйлера на отрезке xÎ[0,
0.2]. На тренировочном примере
реализовать алгоритм метода Эйлера
в пакете MathCAD. Провести решение
дифференциального уравнения (в 10
узлах) данных из файла “№варианта_FXY.txt”,
где № варианта студента совпадает с
номером по списку группы.
Начальное условие y(0)= № варианта, решение найти на отрезке xÎ[0, (№ варианта)/5].
Задача 2.
Сравнить результаты решения в 10 , 100 и т.д. узлах. Оценить погрешность метода Эйлера.
Пример решения дифф.уравнения методом Эйлера (на MathCAD):
Исходные данные:
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