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Question: Error, (in pdsolve/numeric/process_IBCs) initial/boundary conditions can only contain derivatives which are normal to the boundary, got (D[1](H))(x, 0)

Question:Error, (in pdsolve/numeric/process_IBCs) initial/boundary conditions can only contain derivatives which are normal to the boundary, got (D[1](H))(x, 0)

9009134 110 Maple 2016
pdsolve
April 03 2017
0

hi

how i can remove this error?

thanks

Error, (in pdsolve/numeric/process_IBCs) initial/boundary conditions can only contain derivatives which are normal to the boundary, got (D[1](H))(x, 0)
 

RR-steady.mw


 

 

"restart;beta:=1:k:=2:L:=1: W(t):=(Heaviside(t-1)-Heaviside(t-1.1)); theta:=3: hR:=1 :hD(x):=hR+tan(theta)*(L-x) :W0:=2: f(x):=sqrt((hR^(2)+(W0)/(k)*(L^(2)-x^(2)))):t:=5:M:=2:theta:=20:"

proc (t) options operator, arrow; Heaviside(t-1)-Heaviside(t-1.1) end proc

 (1)

PDE1 := diff(H(x, y), x, x)+diff(H(x, y), y, y)+2*W(t)/k = 0

diff(diff(H(x, y), x), x)+diff(diff(H(x, y), y), y) = 0

 (2)

bcs1 := {H(L, y) = hR^2, (D[1](H))(0, y) = 0};

{H(1, y) = 1, (D[1](H))(0, y) = 0}

 (3)

bcs2 := {H(x, M) = hD(x)^2, (D[1](H))(x, 0) = 0}

{H(x, 2) = (1+tan(20)*(1-x))^2, (D[1](H))(x, 0) = 0}

 (4)

pdsolve(PDE1, `union`(bcs1, bcs2), numeric)

Error, (in pdsolve/numeric/process_IBCs) initial/boundary conditions can only contain derivatives which are normal to the boundary, got (D[1](H))(x, 0)

  

``


 

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