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shoghian

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Three coupled nonlinear pdes...

shoghian 0 Maple
pde
November 14 2015
0 4

pde1 := 4*x*(diff(u(x, y), x))-2.*u(x, y)-y*(diff(u(x, y), y))+diff(v(x, y), y) = 0; pde2 := 4.*x.u(x, y).(diff(u(x, y), x))+(v(x, y)-y.u(x, y)).(diff(u(x, y), y))+2.*u(x, y)^2 = diff(u(x, y), `$`(y, 2))+theta(x, y); pde3 := 8.*u(x, y).theta(x, y)+4.*x.u(x, y).(diff(theta(x, y), x))+(v(x, y)+y.u(x, y)).(diff(theta(x, y), y)) = 1/100.(diff(theta(x, y), `$`(y, 2))); bc1 := u(x, 0) = 0, v(x, 0) = 0, theta(x, 0) = 1; bc2 := u(0, y) = 0, v(0, y) = 0, theta(0, y) = 0; bc3 := u(x, 20) = 0, theta(x, 20) = 0hello dear
how can i solve this three couplde pde?please help me

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