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

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 1332/CH15/EX15.24/15_24.pdf | Bin 0 -> 6359 bytes
 1332/CH15/EX15.24/15_24.sce |  31 +++++++++++++++++++++++++++++++
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+//Example 15.24
+//Improved Milne Simpson Predictor Corrector Method
+//Page no. 546
+clc;clear;close;
+
+deff('y=f(x,y)','y=y-x^2')
+y(1)=1;h=0.25;x=0;
+printf('n\tXn\tYn\tfn\tY`n\tYn\tY`n+1\tm(n+1)\tv(n+1)\n------------------------------------------------------------------------\n')
+f1(1)=f(x,y(1));
+for i=1:3
+    K1=h*f(x,y(i));
+    K2=h*f(x+2*h/3,y(i)+2*K1/3);
+    y(i+1)=y(i)+(K1+3*K2)/4
+    printf(' %i\t%.3f\t%.3f\t%.3f\n',i-1,x,y(i),f1(i))
+    x=x+h
+    f1(i+1)=f(x,y(i+1))
+end
+Y31=0
+for i=3:10
+    Y41=y(i-2)+4*h*(2*f1(4)-f1(3)+2*f1(2))/3      //predictor
+    m4=Y41+28*(y(i+1)-Y31)/29   //modifier
+    v4=f(x+h,m4)     //evaluator
+    Y4=y(i)+h*(v4+4*f1(4)+f1(3))/3       //corrector
+    printf(' %i\t%.3f\t%.3f\t%.3f\t%.3f\t%.3f\t%.3f\t%.3f\t%.3f\n',i,x,y(i+1),f1(4),Y31,y(i+1),Y41,m4,v4)
+    y(i+2)=Y4
+    Y31=Y41;
+    f1(2)=f1(3);
+    f1(3)=f1(4);
+    f1(4)=f(x+h,y(i+2))
+    x=x+h
+end
-- 
cgit