Alger

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12 years, 115 days

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These are questions asked by Alger

Hi all,

I have this two equations:

ap[k]=Sum(a[n]*sin(n*theta)*f(n,k),n=1..nn);

a[n]=Sum(ap[k]*g(n,k),k=1..kk);

Where ap[k] and a[n] are the unknowns.

I want to convert the two equations in the Matrix form A*X=b to solve it numerically and where X=[ap[k, k=1..kk] and a[n, n=1..nn]] and A the matrix with a rand (nn+kk,nn+kk) the coef and b the second member and a vector (nn+kk)

Thank you for any help to do this with Maple

Hi all,

When I solved:

restart: mu:=solve(h*sin(mu*b)+mu*cos(mu*b)=0,mu,AllSolutions=true);

where b and h are constant, the solution is:

                                                    ...

Hi,

When I solve this equation

Y(lambda):=_C1*sin(lambda*L);

solve(Y(lambda)=0,lambda);

Where _C1 and L are constants, I get 0.

But the solution of this equation which is easy is lambda=n*Pi/L where n=1,2,3,...

Why?

Thanks

Hi all,

I want to get the general solution of the Laplace equation with boundary conditions below:

sys[1] := [diff(A(r, theta), r, r)+(diff(A(r, theta), r))/r+(diff(A(r, theta), theta, theta))/r^2 =0, D[2](A)(r, theta0) = 0, D[2](A)(r, theta0+beta) = 0, D[1](A)(R1, theta) = 0, A(R2,theta)=f(theta)];

pdsolve(sys[1]); do not give me the solution

Thank you to help to obtain the general solution and how (the method) to obtain this solution with Maple

Hi all,

Is there any way with "pdsolve" or 'dsolve' to get the general solution of Laplace equation in polar coordinates with boundary onditions as :

restart:sys[1] := [diff(A(r, theta), r, r)+(diff(A(r, theta), r))/r+(diff(A(r, theta), theta, theta))/r^2 =0, D[2](A)(r, theta0) = 0, D[2](A)(r, theta0+beta) = 0, D[1](A)(R1, theta) = 0, A(R2,theta)=f(theta)];

pdsolve(sys[1]);

Thanks in advance

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