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44 views

In Maple or Mathematica, syntax : Finding the fundamental sol. of the Heat eq., with Dirac-Delta initial condition

I use this question as a case example for later solving more complex equations of this type : When trying to find the fundamental solution of the Heat equation using Maple (software) , I get the ...
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0answers
104 views

Plotting characteristic equations maple

I'm trying to plot the characteristics for the following PDE with initial conditions: $$u_t +uu_x =0$$ where $$u(x,0)=a \ for\ x<-1, \ b\ for\ -1<x<1, \ c \ for\ x>1.$$ I'm first ...
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1answer
79 views

how to convert a multivariate polynomial to a list in Maple

Motivation: I need to take higher derivatives with respect to many variables. The particular derivatives I take are based on a homogeneous multivariate polynomial. This polynomial is 12 pages in Maple ...
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0answers
182 views

maple code for exp-func. for solving PDE's & non-linear ODE's?

How can I create the Maple code using exponential-function solving the equation below? $u_t = \gamma u_x+6u(u_x)^2+(3u^2-1)u_{xx}-u_{xxxx}$ $u_t =u_{xx}-u^3+u,$ $\alpha u''(x) = \beta ...
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3answers
281 views

how to solve kawahara equation?

the numerical solution to a problem involving a nonlinear partial differential equation of the form below $u_t + uu_x + u_{3x} − u_{5x} = 0$ $u(x, 0) = f (x) , x ∈ R$ which is called Kawahara ...
3
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0answers
136 views

Trying to solve Navier equations with Maple

I've been trying for ages now to get this to work, it's a system of partial differential equations (Engineering, Plate theory) $$pde1: = \frac{{{\partial ^2}}}{{\partial {x^2}}}u\left( {x,y} \right) ...