Systems of partial differential equations in 2 spatial variables?
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From: Morgan on 30 Apr 2010 21:13 Does MATLAB have the capability to find numerical approximations for systems of partial differential equations in two spatial variables as well as time? Specifically I'm interested in a pair of reaction-diffusion equations each involving a simple laplace operator: dF/dt = (d^2F)/(dx^2)+(d^2F)/(dy^2) + Z(F,G) dG/dt = (d^2F)/(dx^2)+(d^2F)/(dy^2) + W(F,G) Additionally, if I do need to use only one spatial variable, is it possible to use pdepe defining a value of F(0,0)=c (a constant), or can pdepe only be used with initial and boundary conditions (ex F(t,0)=1 and F(0,x)=0)? Is there any way to find numerical/graphical approximations for this system given the following constraints? G(0,x,y) = 2 F(0,0,0) = c (some positive constant) |