bisection(f,a,b,tol​)

Bisection Method to find approximate roots of f(x)

Bisection method is the simplest among all the numerical schemes to solve the transcendental equations. This scheme is based on the intermediate value theorem for continuous functions
example :
%%
% clear all
% clc
% x=-3:0.1:3;
% y=3.*x+sin(x)-exp(x);
% plot(x,y)
% grid on
%%
a=0;
b=1;
tol=0.01;
myfun=inline('3.*x+sin(x)-exp(x)');
z=bisection(myfun,a,b,tol);
the above function has two roots in between -1 to 1 and in between 1 to 2.
for 1st root we assign a=-1 ; b=1; and for 2nd root we assign a=1; b=2.
the
for any reference please visit : https://mat.iitm.ac.in/home/sryedida/public_html/caimna/transcendental/bracketing%20methods/bisection/bisection.html#problems