From e614f091a9bee869c9eba0d11efb34528480d21e Mon Sep 17 00:00:00 2001 From: nin13001 <32068635+nin13001@users.noreply.github.com> Date: Wed, 6 Dec 2017 00:26:58 -0500 Subject: [PATCH] problem 5 --- Problem5.m | 26 ++++++++++++++++++++++++++ README.md | 31 +++++++++++++++++++++++++++++++ assets/README-f6577255.png | Bin 0 -> 56921 bytes figure_04.png | Bin 0 -> 38478 bytes phugoid_ode.m | 11 +++++++++++ 5 files changed, 68 insertions(+) create mode 100644 Problem5.m create mode 100644 assets/README-f6577255.png create mode 100644 figure_04.png create mode 100644 phugoid_ode.m diff --git a/Problem5.m b/Problem5.m new file mode 100644 index 0000000..063467b --- /dev/null +++ b/Problem5.m @@ -0,0 +1,26 @@ +set(0, 'defaultAxesFontSize', 16) +set(0,'defaultTextFontSize',14) +set(0,'defaultLineLineWidth',1) +dt=0.1; + x=[0:dt:20]'; + y_n=zeros(length(x),4); + y_n(1,:)=[10 0 0 2]; + for i=2:length(x) + dy=phugoid_ode(x(i-1),y_n(i-1,:)); + y_n(i,:)=y_n(i-1,:)+dt*dy; + end + +dt=0.01; + x=[0:dt:20]'; + y_n2=zeros(length(x),4); + y_n2(1,:)=[10 0 0 2]; + for i=2:length(x) + dy=phugoid_ode(x(i-1),y_n2(i-1,:)); + y_n2(i,:)=y_n2(i-1,:)+dt*dy; + end + [t23,y23]=ode23(@(t,y) phugoid_ode(t,y),[0 20],[10 0 0 2]); + d = figure(4); + plot(y_n(:,3),y_n(:,4),y_n2(:,3),y_n2(:,4),y23(:,3),y23(:,4)) + legend('Euler .1','Euler .01','ode23','Location','Northeast') + xlabel('Distance') + ylabel('Height') \ No newline at end of file diff --git a/README.md b/README.md index 4ddc63c..94c13da 100644 --- a/README.md +++ b/README.md @@ -137,3 +137,34 @@ function x = prob4ptC(prob4_ode, dt, x0,tlimits) end ``` ![](assets/README-ac6c7a25.png) + +# Problem 5 +``` +set(0, 'defaultAxesFontSize', 16) +set(0,'defaultTextFontSize',14) +set(0,'defaultLineLineWidth',1) +dt=0.1; + x=[0:dt:20]'; + y_n=zeros(length(x),4); + y_n(1,:)=[10 0 0 2]; + for i=2:length(x) + dy=phugoid_ode(x(i-1),y_n(i-1,:)); + y_n(i,:)=y_n(i-1,:)+dt*dy; + end + +dt=0.01; + x=[0:dt:20]'; + y_n2=zeros(length(x),4); + y_n2(1,:)=[10 0 0 2]; + for i=2:length(x) + dy=phugoid_ode(x(i-1),y_n2(i-1,:)); + y_n2(i,:)=y_n2(i-1,:)+dt*dy; + end + [t23,y23]=ode23(@(t,y) phugoid_ode(t,y),[0 20],[10 0 0 2]); + d = figure(4); + plot(y_n(:,3),y_n(:,4),y_n2(:,3),y_n2(:,4),y23(:,3),y23(:,4)) + legend('Euler .1','Euler .01','ode23','Location','Northeast') + xlabel('Distance') + ylabel('Height') + ``` + ![](assets/README-f6577255.png) diff --git a/assets/README-f6577255.png b/assets/README-f6577255.png new file mode 100644 index 0000000000000000000000000000000000000000..94beb0e8fc6cbba9d9cee73ae276c86c339374cd GIT binary patch literal 56921 zcmeFZXH=7I*DZ=&QL!Ql0xAg7rAxN~0wTR9pdc-DNI*JPRGNk+L_nky2uLSX3m_m; zL+?lz5HR$z*NyLY#@Xk`8ROe~|2bov=f^Wta^Jbiy4IR&&Ux`l{hs1cT1HwL8k(a@ zcW!Ia(CkIi(CoQ)a6kOZ*WE6YG&C1zly2Y9e)Rr#pZlXQO5gT;NN5cEGn!qdM{+v% z-#)C(b-UpB)5BMYd$rH(s(Ni@9loWW_&SqEm7aMJD9_D zR_SKv%?pRRgg3Sh7Drv|VHXaqeX~4GE+wu1c)#9jIbl`HIqubnWA*;qe0diPf`+Ct 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