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In most of the lagrangian co-ordinates formulations of fluid dynamics in 1D, a function h is used as a co-ordinate defined as: h_x=rho Integrating this up shows that h is the mass contained in...
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I have some nonlinear PDEs that I wish to solve numerically. My initial stab at the solution seems to be very naive. I discretised the PDE using finite differences, and this leaves me with a set...
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I've been trying unsuccessfully to solve the 1D diffusion equation in spherical co-ordinates using finite differences. For the life of me, I cannot get the thing to work. Is this a known...
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I currently am using the Crank-Nicholsen method to solve the diffusion equation. I'm using the usual first order in time and second order in space but I have an application which I suspect...
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Is there a way of generalising the KdV equation (1+1) to a 2D equation (2+1), with two spatial dimensions where the scales are the same for the spatial dimension? I'm aware of the...
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