I'm quite new to Maple so please forgive me! I have a system of partial differential equations I'm trying to solve in Maple as such below
df/dt = f(1-f) - f * h
dg/dt = g(1-g) * Gradient(1-f * gradient(g))
dh/dt = (g - h) + Laplacian(h),
where f,g,h are functions of space and time (i.e. f(x,y,z,t)). I guess my first question is - is this possible in Maple to evaluate? (I'm currently unsure on ICs as I'm figuring it out from the model - it's a model for cancer growth I'm trying to evaluate but have a rough idea of what I'd use).
If it is possible, can you please share how I'd write this? Everytime I've tried I seem to be failing to define anything properly, so your expertise would be greatly appreciated!