Clear Filters
Clear Filters

Solve nonlinear system equation with integral statement within the nonlinear system

1 view (last 30 days)
Dear Community
I have a problem which can be described two system equation, with two unknown, the issue here is, inside the equation have complicated integral statement.
F(1) = integration(a(1)*f1(x)+a(2)*f2(x)+integration(a+acosh(a(1)*f3(x)));
F(2) = integration(a(1)*f3(x)+a(2)*f2(x)+integration(a+acosh(a(1)*f1(x)));
above statements are just description only, f1,f2,f3 are just function of x, and the integrations are finite integration from 0 to 1. I have to solve for a(1) and a(2). I can solve similar problem with 1 unknown case, (1 equations with integration and 1 unknown) but I need to solve more variable
Please help me how solve this problem
Regards
Iswan

Accepted Answer

Marc
Marc on 22 Oct 2016
Edited: Marc on 22 Oct 2016
You can try setting up the your function in a single function file, adding up F(1) and F(2) to say G and try minimizing G with something like fminsearch which uses an nelder mead simplex algorithm, not requiring jacobians or hessians...
If you have the optimization toolbox, there are a bunch of other functions in there they may work. Of course if you want to try brute force, fsolve is something you can play with as well

More Answers (0)

Categories

Find more on Systems of Nonlinear Equations in Help Center and File Exchange

Products

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!