3Eva_IT2017_T4 EDP elíptica, placa desplazada

Tema 4. Aproxime la solución de la EDP elíptica:

\frac{\partial ^2 U}{\partial x^2} + \frac{\partial ^2 U}{\partial y^2} = \frac{x}{y} + \frac{y}{x}

1 < x < 2
1 < y < 2

U(x,1)= x \ln (x), U(x,2) = x \ln (4x^{2}),1 \lt x \lt 2

U(1,y)= y \ln(y), U(2,y) = 2y \ln (2y), 1 \lt x \lt 2

use h = k = 0.5