• 2022-05-28
    17d61d867f5c2b0.png20、用改进的欧拉公式计算下列初值问题,取步长h=0.5,则得近似值y4为( )。
    A: 0.984 615
    B: 0.900 000
    C: 0.937 500
    D: 0.921 025
  • D

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      <img src="data:image/png;base64,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" />19、用梯形法计算下列初值问题,取步长h=0.5,则得到近似值y4为( )。 A: 0.937 500 B: 0.900 000 C: 0.984 615 D: 0.880 773

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      用改进欧拉法解初值问题,取步长h=1,计算( )。e28ff9e59016b2213ba6db8bbf500ce6.pngc45105337f7bea632d26627a0c35eca9.png

    • 2

      取步长h=0.2,求解初值问题,用欧拉预报—校正法求y(0.2)的近似值。

    • 3

      17da6581d454ce1.png37、用显式二阶Adam法求解下列初值问题,取步长h=0.2及y(0.2)=0.181,则得近似值y2为( )。 A: 0 B: 0.44679 C: 0.181 D: 0.3267

    • 4

      17d61d860c6e96a.png37、用显式二阶Adam法求解下列初值问题,取步长h=0.2及y(0.2)=0.181,则得近似值y2为( )。 A: 0.181 B: 0.3267 C: 0.44679 D: 0