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Question: is possible to solve this pde via maple?

Question:is possible to solve this pde via maple?

torabi 85 Maple 2018
pde pdsolve differential-equations
November 29 2018
0

is possible to solve this pde via maple?

m1.mwm1.mw
 

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restart
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sys := [-(-r^2+1)*(diff(theta(r, z), z))+(diff(theta(r, z), r)+r*(diff(theta(r, z), r, r)))/r+diff(theta(r, z), z, z)+(diff(theta(r, z), r))*(diff(sigma(r, z), r))+(diff(sigma(r, z), z))*(diff(theta(r, z), z))+(diff(theta(r, z), r))^2+(diff(theta(r, z), z))^2 = 0, -(-r^2+1)*(diff(sigma(r, z), z))+(diff(sigma(r, z), r)+r*(diff(sigma(r, z), r, r)))/r+diff(sigma(r, z), z, z)+(diff(theta(r, z), r)+r*(diff(theta(r, z), r, r)))/r+diff(theta(r, z), z, z) = 0]; IBCs := {sigma(1, z) = 1, sigma(r, 0) = 1, theta(1, z) = 1, theta(r, 0) = 1, (D[1](sigma))(0, z) = 0, (D[1](theta))(0, z) = 0, (D[2](sigma))(r, 1) = 0, (D[2](theta))(r, 1) = 0}

[-(-r^2+1)*(diff(theta(r, z), z))+(diff(theta(r, z), r)+r*(diff(diff(theta(r, z), r), r)))/r+diff(diff(theta(r, z), z), z)+(diff(theta(r, z), r))*(diff(sigma(r, z), r))+(diff(sigma(r, z), z))*(diff(theta(r, z), z))+(diff(theta(r, z), r))^2+(diff(theta(r, z), z))^2 = 0, -(-r^2+1)*(diff(sigma(r, z), z))+(diff(sigma(r, z), r)+r*(diff(diff(sigma(r, z), r), r)))/r+diff(diff(sigma(r, z), z), z)+(diff(theta(r, z), r)+r*(diff(diff(theta(r, z), r), r)))/r+diff(diff(theta(r, z), z), z) = 0]

  

{sigma(1, z) = 1, sigma(r, 0) = 1, theta(1, z) = 1, theta(r, 0) = 1, (D[1](sigma))(0, z) = 0, (D[1](theta))(0, z) = 0, (D[2](sigma))(r, 1) = 0, (D[2](theta))(r, 1) = 0}

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