How to solve this PDE problem?

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Question:How to solve this PDE problem?

Posted: faisal 15 Product: Maple 16

May 22 2016

(1)

$PDE := {n*f(eta, xi)^(n-1)*`&PartialD;`(`#mscripts(mo("⁢"),none(),none(),none(),none(),none(),mn("2"))`)*f(eta, xi)/(`&PartialD;`(eta)*`#mscripts(mo("⁢"),none(),none(),none(),none(),none(),mn("2"))`) = diff(theta(eta, xi), eta)-Nr*(diff(phi(eta, xi), eta)), diff(phi(eta, xi), eta, eta)+(3/2)*Le*f(eta, xi)*(diff(phi(eta, xi), eta))+Nt*(diff(theta(eta, xi), eta, eta))/Nb = (1/2)*Le*xi*((diff(f(eta, xi), eta))*(diff(phi(eta, xi), xi))-(diff(phi(eta, xi), eta))*(diff(f(eta, xi), xi))), diff(theta(eta, xi), eta, eta)+Nb*(diff(phi(eta, xi), eta))*(diff(theta(eta, xi), eta))+(3/2)*f(eta, xi)*(diff(theta(eta, xi), eta))+Nt*(diff(theta(eta, xi)^2, eta)) = (1/2)*xi*((diff(f(eta, xi), eta))*(diff(theta(eta, xi), xi))-(diff(theta(eta, xi), eta))*(diff(f(eta, xi), xi)))}$

Error, invalid input: diff received 0, which is not valid for its 2nd argument

(2)

(3)

for i to 4 do n := L[i]; pds := pdsolve(PDE, IBC, numeric, spacestep = 1/10); p[i] := plots[display]([seq(pds:-plot(-u, t = (1/10)*j, y = 0 .. 6, legend = L[i]), j = 10)]) end do

Error, (in pdsolve/numeric/process_PDEs) number of dependent variables and number of PDE must be the same

Error, (in plots:-display) expecting plot structures but received: {p[1], p[2], p[3], p[4]}

Download non_newtonian_non_darcy.mw

hai All,

i have problem to soilve pde in the maple

can anyone suggest / idea to solve in maple?

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