MATLAB Answers

How can i find P function which i have x and y derivatives.

1 view (last 30 days)
esat gulhan
esat gulhan on 25 Sep 2020
Commented: Walter Roberson on 26 Sep 2020
My question is numerical
dP/dx=[0 3.82 8.1; 0 3.59 7.74 ; 0 2.82 6.53]
dP/dy=[-1 -1 -1;-4.82 -5.05 -5.64; -8.19 -8.74 -10.14]
d^2P/dx^2+d^2P/dy^2=0
How can i find P as matrix.
Finite difference method i tried but i failed.

  1 Comment

Walter Roberson
Walter Roberson on 26 Sep 2020
integrate dP/dx with respect to x and dP/dy with respect to y, and add them.
The result would be a 3x3 P that is constant * x + constant times y... you can skip the explicit integration because it is so simple.
The derivative of each entry with respect to x would be just its x coefficient.
The derivative of each entry with respect to y would be its y coefficients.
With dx and dy being constant their derivatives would be 0, and the sum of two zeros is zero so the second derivative conditions are met.

Sign in to comment.

Answers (0)

Community Treasure Hunt

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

Start Hunting!