Advanced Search

Question: PDEs in Maple 15

Question:PDEs in Maple 15

winacio 0 Maple 15
pdsolve
December 28 2011
0

I was trying to solve a PDE with boundary conditions and maple 15 didn´t give no answer. 

Is there something wrong? I'm just trying to solve a textbook problem om electrodynamics in maple.
> 

restart;
> 

with(PDEtools)

[CanonicalCoordinates, ChangeSymmetry, CharacteristicQ, CharacteristicQInvariants, ConservedCurrentTest, ConservedCurrents, ConsistencyTest, D_Dx, DeterminingPDE, Eta_k, Euler, FromJet, FunctionFieldSolutions, InfinitesimalGenerator, Infinitesimals, IntegratingFactorTest, IntegratingFactors, InvariantEquation, InvariantSolutions, InvariantTransformation, Invariants, Laplace, Library, PDEplot, PolynomialSolutions, ReducedForm, SimilaritySolutions, SimilarityTransformation, Solve, SymmetryCommutator, SymmetryGauge, SymmetrySolutions, SymmetryTest, SymmetryTransformation, TWSolutions, ToJet, build, casesplit, charstrip, dchange, dcoeffs, declare, diff_table, difforder, dpolyform, dsubs, mapde, separability, splitstrip, splitsys, undeclare]

 (1)
> 

V := diff_table(v(x, y));

table( [( ) = v(x, y) ] )

 (2)
> 

edp1 := V[x, x]+V[y, y] = 0

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

 (3)
> 

bc1 := v(x, 0) = 0, v(x, pi) = 0, v(0, y) = sin(y), limit(v(x, y), x = infinity) = 0;

v(x, 0) = 0, v(x, pi) = 0, v(0, y) = sin(y), limit(v(x, y), x = infinity) = 0

 (4)
> 

sys := [edp1, bc1]

[diff(diff(v(x, y), x), x)+diff(diff(v(x, y), y), y) = 0, v(x, 0) = 0, v(x, pi) = 0, v(0, y) = sin(y), limit(v(x, y), x = infinity) = 0]

 (5)
> 

sol1 := pdsolve(sys, v(x, y));

Error, (in pdsolve/sys) the given system is not polynomial in the variables {v}

  
> 

``

 
 

Download PDE_with_maple.mw

 

Thanks for your help
Please Wait...