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效果图:
演示代码:
- \documentclass{article}
- \usepackage{tikz,mathpazo} %图形绘制宏包
- \usepackage{float} %浮动包
- \usepackage{booktabs} %表格线条粗细控制
- \usepackage{graphicx}%插入图片
-
- \begin{document}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
- \begin{figure}[H]
- \centering
- \begin{tikzpicture}
- %坐标轴
- \draw[->,ultra thick](0,0)--(10,0) node[above]{\textbf{$t$}};
- \draw[->,ultra thick](0,0)--(0,6) node[left]{\textbf{$u$}};
- \draw (0,0) node[below=3.6pt]{$0$};
- %x轴坐标
- \draw (1.5,0) node[below=3.6pt]{$t_{1}$};
- \draw (4,0) node[below=3.6pt]{$ t_{n}$};
- \draw (6.5,0) node[below=3.6pt]{$t_{n+1}$};
- \draw (9,0) node[below=3.6pt]{$T$};
- %y轴坐标
- \draw (0,0.5) node[left=3.6pt]{$u_{0}$};
- \filldraw (0,0.5)circle(0.8ex);%黑点
- %数值解的实线
- \draw (1.5,0) --(1.5,3) node[left]{$u_{1}$};
- \filldraw (1.5,3)circle(0.8ex);
- \draw (4,0) --(4,4) node[above=3.6pt]{$u_{n}$};
- \filldraw (4,4)circle(0.8ex);
- \draw (6.5,0) --(6.5,4.5) node[above]{$u_{n+1}$};
- \filldraw (6.5,4.5)circle(0.8ex);
- \filldraw (9,4.5)circle(0.8ex);
- %数值解的连线
- \draw (0,0.5) --(1.5,3);
- \draw (1.5,3) --(4,4);
- \draw (4,4) --(6.5,4.5);
- \draw (6.5,4.5) --(9,4.5)node[above]{};
- %解析解的实线
- \draw (4,0) --(4,2.8) node[right=3.6pt]{$u(t_{n})$};
- \draw (4,2.8)circle(0.8ex);
- \draw (6.5,0) --(6.5,3.5) node[below=3.6,right]{$u(t_{n+1})$};
- \draw (6.5,3.5)circle(0.8ex);
- %解析解的连线
- \draw (0,0.5) --(4,2.8);
- \draw (4,2.8) --(6.5,3.5);
- \draw (6.5,3.5) --(9.5,3.6)node[above]{};
- %t1和tn之间的点
- \draw (1.5,0)--node[below=5pt]{.............}(4,0);
- \draw (6.5,0)--node[below=5pt]{.............}(9,0);
- %===============================================
- \draw(6.5,-1)--(6.5,-1.5);
- \draw(4,-1)--(4,-1.5);
- \draw[<->,thick](4,-1.3)--(6.5,-1.3);
- \draw (4,-1.3)--node[above]{$h$}(6.5,-1.3);
- \end{tikzpicture}
- \end{figure}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \vspace{1.5cm}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \begin{figure}[H]
- \centering
- \begin{tikzpicture}
- %坐标轴
- \draw[->](-0.3,0)--(12,0) node[right]{$x$};
- \draw[->](0,-0.3)--(0,7) node[right]{$t$};
- %x轴坐标
- \draw (2.5,0) node[below=3.6pt]{$x_{j-1}$};
- \draw (6.5,0) node[below=3.6pt]{$x_{j}$};
- \draw (10.5,0) node[below=3.6pt]{$x_{j+1}$};
- \draw (4.208,3.5) node[above=7.2pt,right=0.9pt]{\textbf{P}};
- %y轴坐标
- \draw (0,3.5) node[left=3.6pt]{$t_{n}$};
- \draw (0,6) node[left=3.6pt]{$t_{n+1}$};
- %虚线
- \draw[-,dashed] (1,0)--(7.5,7.09);
- \draw[-,dashed] (11.5,0)--(5.592,7.09);
- %实线
- \draw [ultra thick] (2.5,0) --(2.5,7.3) ;
- \draw [ultra thick](6.5,0) --(6.5,7.3);
- \draw [ultra thick](10.5,0) --(10.5,7.3);
- \draw[ultra thick](-0.3,6) --(11.5,6);%粗体线条
- \draw[ultra thick](-0.3,3.5) --(11.5,3.5);
- %黑点
- \filldraw (2.5,0)circle(0.4ex);
- \filldraw (6.5,0)circle(0.4ex);
- \filldraw (10.5,0)circle(0.4ex);
- \filldraw (2.5,3.5)circle(0.4ex);
- \filldraw (2.5,6)circle(0.4ex);
- \filldraw (6.5,3.5)circle(0.4ex);
- \filldraw (6.5,6)circle(0.4ex);
- \filldraw (10.5,3.5)circle(0.4ex);
- \filldraw (10.5,6)circle(0.4ex);
- \filldraw (4.208,3.5)circle(0.4ex);%交点P
- %交点P左右箭头
- \draw[<->,very thick](2.5,3.8)--(4.208,3.8);
- \draw (2.5,3.8)--node[above=0.9pt]{$\delta x-c\delta t$ }(4.208,3.8);
- \draw[<->,very thick](4.208,3.2)--(6.5,3.2);
- \draw (4.208,3.2)--node[below=0.9pt]{$c\delta t$ }(6.5,3.2);
- %标注直线方程
- \draw (3,2.3)node[right=3.6pt]{$(c>0)$};
- \draw (10,2.3)node[left=10.8pt]{$(c<0)$};
-
- \end{tikzpicture}
- \end{figure}
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- \end{document}
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