Question

write a c++ program that can solve problems using the secant method

Answer 1

Question : write a c++ program that can solve problems using the secant method

ANSWER : secant method is a root-finding algorithm.

Algorithm :
1) Enter the values of initial guesses, a and b.
2) Enter the value of the tolerance error, e (accuracy)
3) Repeat
set a = b
set b = c
set c = b-f(b)*(a-b)/(f(a)-f(b))
until |cn-c|<Tolerance value (e)
4) Print 'C', tne root in the interval [a,b].

Program :

#include<iostream>
#include<iomanip>
#include<cmath>
using namespace std;
double f(double x); //declare the function for the given equation
double f(double x) //declare the function for the given equation
{
double a=pow(x,3)-x-11.0; //write the equation whose roots are to be determined
return a;
}
int main()
{
cout.precision(4);
cout.setf(ios::fixed); //set the precision of the output
double a,b,c,e;
cout<<"Enter the initial guess: \na = ";
cin>>b;
cout<<"b = ";
cin>>c;
cout<<"Enter the degree of accuracy\n";
cin>>e; //take the desired accuracy
do
{
a=b;
b=c;
c=b-(b-a)/(f(b)-f(a))*f(b); //calculate c
if (f(c)==0)
{
cout<<"\nThe root of the equation is "<<c; //print the root
return 0;
}
}while(abs(c-b)>=e); //check if the error is greater than the desired accuracy
cout<<"\nThe root of the equation is "<<c; //print the root
return 0;
}

OUTPUT :

崀main.cpp [secanttt-Code:Blocks 16.01 File Edit View Search Project Build Debug Fortran woSmithTools Tools+Plugins DoxyBlocks Settings Help global> main.cpp x 16 17 18 19 20 21 Projects Symbols Fles Workspace coutくく"Enter the cin>>b cout<< "b = "; initial guegn: \n" - in Debugisecanttt.exe" -X secanttt Sources main.cpP cout<<"Enter the degree of a nter the degree of accuracy do he root of the equation $s 2.5736 rocess returned (x) execution time.835 s ress any key to continue 23 24 25 26 27 28 29 30 31 32 a-b: b-c: return 0: } while (abs (c-b,-e) ; cout<<"nThe root of the equ return 0: 34 35 36 &others Code: :Blocks -Search results X / Ссос ХС) Build log XeBuld messages X, / CppCheck× CppCheck messages X / Cope X。Debugger ×T Doxy Process terminated vith atetus 0 minuteia)-15 second (s) Run: Debug in eecanstt (compiler: GNU GCC Compiler) Executing: "C:\Program Tilea くx86)\CodeBloeks/eb eonaole-runner, exe" "D:\ett programningaeanttt\bin\Debuquecant t t.exe" (in D:\e++ programing\seeanttt\.] DiActt secantttimain.cpp Windows (CR+LF) WINDOWS-1252 Line 36, Column 1 Insert Read/Write default 03:15 Search the web and Windows ^係亘 图ENG 18-07-2017 |

崀main.cpp [secanttt-Code:Blocks 16.01 File Edit View Search Project Build Debug Fortran woSmithTools Tools+Plugins DoxyBlocks Settings Help global> main.cpp x 16 17 18 19 20 21 Projects Symbols Fles Workspace cout<<"Enter the initial guea na- cin>>b cout<< "b = "; secanttt .Ddc.. progr sources cout<<"Enter the degree of acc cin>>e: do main.cpP nter the degree of accuracy 23 24 25 26 27 28 29 30 31 32 a-b: b-c: he root of the equation iz 2.3587 rocess returned θ {exe} execution time ; 6.417 ress any key to continue cout<<"nThe root of return 0: whilc(abs (c-b)-) cout<<"nThe root of the equat return 0: 34 35 36 &others Code: :Blocks -Search results X / Ссос ХС) Build log XeBuld messages X, / CppCheck× CppCheck messages X / Cope X。Debugger ×T Doxy Proc-88 t.rminat-d vith 8ta tu8 0 (0 minut.is), 13 욘ecord (s)) Run: Debug in eecanstt (compiler: GNU GCC Compiler) Checking o existence: D:1c++ programing secantttbinDebug secanstt.exe Executing: "C:\Program Tilea くx86)\CodeBloeks/eb eonaole-runner, exe" "D:\ett programningaeanttt\bin\Debuquecant t t.exe" (in D:\e++ programing\seeanttt\.] Windows (CR+LF) WINDOWS-1252 Line 36, Column 1 Insert Read/Write default 03:16 Search the web and Windows ^係亘무ーENG 18-07-2017 |