From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 1332/CH19/EX19.8/19_8.sce | 95 +++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 95 insertions(+)
 create mode 100755 1332/CH19/EX19.8/19_8.sce

(limited to '1332/CH19/EX19.8/19_8.sce')

diff --git a/1332/CH19/EX19.8/19_8.sce b/1332/CH19/EX19.8/19_8.sce
new file mode 100755
index 000000000..6765fcef2
--- /dev/null
+++ b/1332/CH19/EX19.8/19_8.sce
@@ -0,0 +1,95 @@
+//Example 19.8
+//Variable Coefficients
+//Page no. 663
+clc;clear;close;
+
+//simple explicit method
+printf('\n\nBy Simple Explicit Method:\n\n')
+dt=0.05;dx=0.2;
+x=0;
+printf('\n i\t  x\t  r\t|\tj -->\t')
+for i=0:6
+    printf('  %i\t',i)
+end
+printf('\n  \t\t\t|\tt -->\t')
+for i=0:6
+    printf('%.3f\t',i*dt)
+end
+printf('\n----------------------------------------------------------------------------------------------')
+for j=1:6
+    r=sqrt(1+2*x)*dt/dx;
+    printf('\n %i\t%.3f\t%.3f\t|\t\t',(j-1),x,r)
+    for i=1:7
+        if i==1 then
+            u(j,i)=0;
+        elseif j==1 then
+            u(j,i)=1
+        else
+            u(j,i)=(1-r)*u(j,i-1)+r*u(j-1,i-1)
+        end
+        printf('%.3f\t',u(j,i))
+        
+    end
+    x=x+dx
+end
+
+
+//simple implicit method
+printf('\n\n\nBy Simple Implicit Method:\n')
+c=-2;dt=0.05;dx=0.2;x=0
+printf('\n i\t  x\t  r\t|\tj -->\t')
+for i=0:6
+    printf('  %i\t',i)
+end
+printf('\n  \t\t\t|\tt -->\t')
+for i=0:6
+    printf('%.3f\t',i*dt)
+end
+printf('\n----------------------------------------------------------------------------------------------')
+for j=1:6
+    r=sqrt(1+2*x)*dt/dx;
+    printf('\n %i\t%.3f\t%.3f\t|\t\t',(j-1),x,r)
+    for i=1:7
+        if i==1 then
+            u(j,i)=0;
+        elseif j==1 then
+            u(j,i)=1
+        else
+            u(j,i)=(1/(1+r))*u(j,i-1)+r*u(j-1,i)/(1+r)
+        end
+        printf('%.3f\t',u(j,i))
+    end
+    x=x+dx
+end
+
+
+//wendroff method
+printf('\n\n\nBy Wendroff Method:\n')
+k=0.05;h=0.2;
+x=0.1;
+printf('\n i\t  x\t  c\t  a\t|\tj -->\t')
+for i=0:6
+    printf('  %i\t',i)
+end
+printf('\n  \t\t\t\t|\tt -->\t')
+for i=0:6
+    printf('%.3f\t',i*k)
+end
+printf('\n-------------------------------------------------------------------------------------------------------')
+for i=1:6
+    c=sqrt(1+2*x);
+    a=(h+k*c)/(h-k*c)
+    printf('\n %i\t%.3f\t%.3f\t%.3f\t|\t\t',(i-1),x-h/2,c,a)
+    for j=1:7
+        if j==1 then
+            u(i,j)=0;
+            u(i+1,j)=0;
+        elseif i==1 then
+            u(i,j)=1
+        else
+            u(i,j)=u(i-1,j-1)+(u(i,j-1)-u(i-1,j))/a
+        end
+        printf('%.3f\t',u(i,j))
+    end
+    x=x+h
+end
\ No newline at end of file
-- 
cgit