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June 4th, 2017, 05:42 AM  #1 
Newbie Joined: Nov 2016 From: Aus Posts: 11 Thanks: 0  suggest a numerical method for this equations
Dear All I am looking for your help to solve the next equations numerically First, please see the attached photo #1 (named:ro) that shows the shape of two curves and the solution will be such as point 2 (P2). Say sigma=y, epsilon= x y*x= constant ...Eq1 (which is the same at point P1, P2 based on the assumed condition of the problem: nothing important here a part of the explanation of the curves in the photo) y*x=y^2/E+y*(y/K)^(1/n) ..Eq2 E, K,n are constants similarly, then I will need to solve the extended curves in attached 2 Say Delta_sigma=dy, delta_epsilon=dx dy*dx= constant ...Eq11 dy*dx=dy^2/E+2*dy*(dy/2K)^(1/n) Eq3 Which numerical method best fit to solve these equations (Eq1&Eq2), and (Eq11 & Eq3). I hope your help Thanks 

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