When solving nonlinear systems of equations in 2d it is best to plot implicit curves and use numerical solvers to find where the curves cross. See Chapter 14, Figure 14.14(b):

http://www.doc.mmu.ac.uk/STAFF/S.Lynch/cover1.html

Hello

Thank you very much for your help.

But I mean the implementation of the techniques that I specified in the pictures of the attachment in Maple.

For example, Broyden’s method, Newton iteration method, ... .

Thank you

Hello, if I understand well you would like to implement a collocation method in MAPLE and to solve the resulting (large) system of nonlinear equations analytically? There is not clear interest in doing so. Why do you not try to use an existing implementation of the collocation method (in MATLAB for e.g.) trying to solve your problem numerically? Best

Hello

Thank you very much for your comment.

You are right. It is better to solve by MATLAB, But I did not write much program with it. Also, I do not have much time.

Dear Ma Ka

I suggest you to start your excursion into Matlab, by learning it from a class fellow or friend who is conversant with Maple or Matlab languages.

Learning Matlab by self study is a bit difficult, however, interactive videos available online, are as well a good option.