Week Seven Progress (SEM 2)

Since last week I failed to know how to transfer an inegration equation to matrix form then to MATLAB form. that's mean I failed to transfer the main equation of my project (the Navier-Stoke equation) into matrices then MATLAB.
I decided to get help so I went to see Mr. Syamsul Adlan Mahhir who taught me mathematics four. I went to him in paticular since he is good at mathematics and MATLAB as well. I showed him the equations and I asked him how to change those kind of equations to matrices then to MATLAB. After he saw the equations he told that "it is not easy to achieve that; it long and complex process" and he advised me to read something called Matrix MATLAB. And he Asked me if I faced any problem don't hesitate to come to him again.

I searched on that and I founded it's a really complex process as mister Syamsul said; and there are mathematics researches and master research dedicated only for transferring blood flow equations - which I'm using them too- to MATLAB

I got depressed because knowing how to change blood flow equations (Navier-Stoke -or womresly- and finite) to matrices then MATLAB and there are mathematical researches done by more than researcher only simulating the blood flow.

I decided to intensify my search on the issue. after intesified researched I found a book at BMI library:

called " Introduction to Numerical Analaysis Using MATLAB" to Rizwan Butt 

and the other book called " An Introduction to Numerical Methods A MATLAB Approach" authored by Abdelwahab Kharab and Ronald B. Guenther. 

the beauty of these two books they talk about some numerical methods and they give the general equation for every method then they transfer the equation into matrices after that they give the MATLAB coding for every particular method.

In these to books I found matrices form and the MATLAB coding of the Finite equation -one of equation I use in this project- as appeared in the attachement below.

ATTACHMENT MISSING

notice: those pictures taken from  Introduction to Numerical Analaysis Using MATLAB books

The bad news is I could not found the matrices or the MATLAB coding for Navier-Stoke equation -main equation of the blood flow- in none of the books although the Navier-Stoke equation under numerical method.

So I have to comprehend and intensify my research more in order to know how to matrices the other equations and simulate them in the MATLAB.