⭐ 欢迎来到虫虫下载站! | 📦 资源下载 📁 资源专辑 ℹ️ 关于我们
⭐ 虫虫下载站

📄 weifen.nb

📁 Mathematica求解复杂偏微分方程的例子
💻 NB
📖 第 1 页 / 共 5 页
字号:
  RowBox[{
   RowBox[{"X0", "[", "t_", "]"}], ":=", 
   RowBox[{
    RowBox[{"X", "[", "t", "]"}], "-", 
    RowBox[{"l1", " ", 
     RowBox[{"Cos", "[", 
      RowBox[{"\[Theta]1", "[", "t", "]"}], "]"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{
    RowBox[{"Y0", "[", "t_", "]"}], ":=", 
    RowBox[{
     RowBox[{"Y", "[", "t", "]"}], "-", 
     RowBox[{"l1", " ", 
      RowBox[{"Sin", "[", 
       RowBox[{"\[Theta]1", "[", "t", "]"}], "]"}]}]}]}], ";"}], 
  "\[IndentingNewLine]"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"ts", "=", 
   RowBox[{"T", " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"(", 
       RowBox[{"Ceiling", "[", 
        RowBox[{
         RowBox[{"tend", "/", "T"}], "-", "1"}], "]"}], ")"}], "-", "0.4"}], 
     ")"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"xx0", "=", 
   RowBox[{"X", "[", 
    RowBox[{"ts", "-", 
     RowBox[{"2", " ", "T"}]}], "]"}]}], ";", 
  RowBox[{"xx1", "=", 
   RowBox[{"X", "[", 
    RowBox[{"ts", "-", "T"}], "]"}]}], ";", " ", 
  RowBox[{"xx2", "=", 
   RowBox[{"X", "[", "ts", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"yy0", "=", 
   RowBox[{"Y", "[", 
    RowBox[{"ts", "-", 
     RowBox[{"2", "T"}]}], "]"}]}], ";", 
  RowBox[{"yy1", "=", 
   RowBox[{"Y", "[", 
    RowBox[{"ts", "-", "T"}], "]"}]}], ";", 
  RowBox[{"yy2", "=", 
   RowBox[{"Y", "[", "ts", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"picxy", "=", 
  RowBox[{"ParametricPlot", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{"X", "[", "t", "]"}], ",", 
      RowBox[{"Y", "[", "t", "]"}]}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{"t", ",", "tstart", ",", "tend"}], "}"}]}], 
   "]"}]}], "\[IndentingNewLine]", 
 RowBox[{"picxy0", "=", 
  RowBox[{"ParametricPlot", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{"X0", "[", "t", "]"}], ",", 
      RowBox[{"Y0", "[", "t", "]"}]}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{"t", ",", "tstart", ",", "tend"}], "}"}]}], "]"}]}]}], "Input",
 CellChangeTimes->{{3.4016795820625*^9, 3.401679582703125*^9}}],

Cell[BoxData[
 GraphicsBox[{{}, {}, 
   {Hue[0.67, 0.6, 0.6], LineBox[CompressedData["
1:eJwklXk41O/3/9tkSUIhS4uSd4pkV9QpJImyFIVoIW3WImRXKRFKESEkJftu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⌨️ 快捷键说明

复制代码 Ctrl + C
搜索代码 Ctrl + F
全屏模式 F11
切换主题 Ctrl + Shift + D
显示快捷键 ?
增大字号 Ctrl + =
减小字号 Ctrl + -