c or MATLAB programing for nolinear systems

[azerturk]

I need programs(codes) to solve this system equations with methods bisection, secant ,
newton raphson and regula falsi all with (10D).
y=f(t)=9600(1-{e }^{-t/15 })-480t=0

z=g(t)=640({e }^{-t/15 })-480
or plz give me some hints by tuesday

 

[RollingEEE]

do you need the plots only, numerical solution, or interpolation?

 

[azerturk]

thanks for your reply ;no we need just the solution

 

[RollingEEE]

I can help you with bisection and Newton raphson.

For bisection, you need to specify two values A and B manually such that,
f(A) < 0 and f(B) > 0;
counter=0;
step 1: c = (A+B) / 2 % arithmatic mean
step 2: test C;
is f(C) > 0?
B = C; %the solution lies between A and C
is f(C) < 0?
A = C; %the solution lies between A and C
is f(C) == 0?
C is the solution, exit program;
step 3: counter = counter+1
step 4: if counter > L goto step 1
print the value of C;



newton raphson
to solve y = f(x)

determine d/dx of f(x)
say d/dx((f(x)) = f'(x)

then x(n+1) = x - f(x) / f'(x)

assume any arbitrary value for x(0), and then iterate for 7-8 times, you'll get an accurate enough result in x(7)