mghani

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Asked: mghani 10 Product: Maple

April 08 2023

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Please help me how to plot the following Chemotaxis System in Maple. Great Thanks

PDE 1= diff(p(x,t),t)-diff(p(x,t)*q(x,t),x)=D*diff(p(x,t),x,x)

PDE 2 = diff(q(x,t),t)-diff(p(x,t),x)=0

with the initial conditions

p(x)=0.5+1/(1+exp(2*(x-30)))

and

p(x)=0.5+1/(1+exp(-2*(x-30)))

and the boundary conditions

p(0, t) = 1.5, p(1, t) = 0.5

and

q(0, t) = 0.5, q(1, t) = 1.5

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