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PDE problem... can't get solution ... probably an IBC fault ...
I can't seem to get a solution to the following problem. Can anyone see where I am going wrong I thought I had correct IBC s but they may be wrong/ill-posedMelvin Two 1-D coupled Burgers equations -...
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Maple gives solution to PDE which does not satisfy the PDE
Do you agree this solution given by Maple is not correct? restart; pde := diff(u(x,t),t)+diff(u(x,t),x)=0; bc := D[1](u)(0,t)=0; ic := u(x,0)=exp(-x^2); sol:=pdsolve([pde,ic,bc],u(x,t)) assuming...
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IC and BC problems with semiclassical coupled Burgers equation
see below. I am getting IC and BC errors. The code is below/attached. Can anyone help?Melvin This is a corrected version of pdeProb2.mw, in which we examine the 1-D classical burgers equation, and...
View ArticlePDEs solve numerically
Dear Users! I solved a PDE by using the following code. restart;a := 1:b:= 2:l:= 1:alpha[1]:= 1:alpha[2]:= 3: syspde:= [diff(u(x, t), t)-a+u(x, t)-u(x, t)^2*v(x, t)-alpha[1]*(diff(u(x, t), x$2)) = 0,...
View ArticleValue of an expression at specific position
Dear Users!Hope you would be fine with everything. I want to evaluate an expression (diff(u(y, t), y)+diff(diff(u(y, t), y), t)) for various values of b at y = 0, t=1. Please help me to evaluate it....
View ArticleI can't seem to subtract a numerical solution and the analytical solution of...
Hey, to all!First post here and after searching the web for answers I thought I'll ask it here.haven't used Maple for a long time so I'm quite new in it.I've solved a PDE in a numeric and in a analytic...
View ArticleFinding optimal values of some parameters
I wrote a code.mw for a numerical method for a PDE. (You can find the numerical method, exact solution and error between them in the code.)The method depends on parameters k, M, which are any positive...
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Getting Rid of _F1, _F2, Etc., in the Solution of a PDE?
I am solving a PDE whose solution is the integrating factor MU of a given 1st order ODE. I getI only need one of these solutions. How do I get rid of _F1? Can I make it to be the identity function?...
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please help me to solve the error
i want solve error of PDE2> > > > > > > > > > > > > (1)> (2)> > > (3)> > > > > > Error, unsupported type of index, x > >...
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Coupled PDEs:Error, (in pdsolve/numeric/animate) unable to compute solution...
Analysis of the semiclassical (SC) momentum rate equationsPlotting the ICs and BCs and examining sensitivity to the Re and Im forcesMRB: 24/2/2020, 27/2/2020, 2/3/2020.We examine solution of the SC...
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Why Maple pdsolve still unable to solve 1D convection-diffusion pde?
Can one hope that next version of Maple will be able to solve the standard convection-diffusion pde in 1D? pde:=diff(u(x,t),t)=d*diff(u(x,t),x$2)+c*diff(u(x,t),x);in 1D. Even the most simple form with...
View ArticleFinding optimal values of some parameters
I wrote a code.mw for a numerical method for a PDE. (You can find the numerical method, exact solution and error between them in the code.)The method depends on parameters k, M, which are any positive...
View Articlesolution behavior pdes
Dear all I would like to plot the behavior of solution for a second-order PDEs plot_sol_pde.mwThanks
View ArticleError, (in pdsolve/numeric/process_PDEs) number of dependent variables and...
Error, (in pdsolve/numeric/process_PDEs) number of dependent variables and number of PDE must be the samerestart; PDE := diff(u(x, t), t) - Laplacian(u(x, t), [x]) - u(x, t) + x - 2*sin(2*x)*cos(x) =...
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Empty result set on `pdsolve` in Maple2019
Hello! I'm trying to solve the following: pde1 := (y+z)*(diff(u(x, y, z), x))+(z+x)*(diff(u(x, y, z), y))+(x+y)*(diff(u(x, y, z), z)) = 0; {pdsolve(pde1,u(x,y,z))}Unfortunately, after calling pdsolve...
View Articlepdsolve in toroidal coordinates?
How I can pdsolve these equations in toroidal coordinates?Initial conditions are arbitrary.Please see attached pdf .ThanksWhere.pdfWeston1958
View Articlepartial differential equation
Hello,is it possible to solve the attached partial differential equation with zero initial boundary condition?If not by assuming diff(u(sigma, tau, phi, t), t, t)=0 is there an answer for the...
View Article1D wave equation using d'Alembert's formula and animation (2D and 3D)?
D(u(x,t),t,t)=c^2*D(u(x,t),x,x);Where u(x,0)=f(x),D[2](u)(x,0)=g(x),u(0,t)=0=u(L,t),L=2 please do this as mentioned above
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