Recent content by jssdenton
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J
Graduate Numerically solving system of four PDEs
I think I see what you are saying, but aren't there two sets of spatial coordinates in 2D--the x,y layer for the first system, and the x,y layer for the second system? I am not sure how to formulate the D[] functions, Laplacian, or initial/boundary conditions with this in mind. I had tried to...- jssdenton
- Post #7
- Forum: Differential Equations
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J
Graduate Numerically solving system of four PDEs
Sure. Here is a link to a pdf of the article. http://hopf.chem.brandeis.edu/members_content/yanglingfa/paper/t2.pdf- jssdenton
- Post #5
- Forum: Differential Equations
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J
Graduate Numerically solving system of four PDEs
As I understand it, there should be 4 equations, with x_1, y_1, x_2, y_2 . I was using x, y, d, and c to represent those functions because I was worried about bungling subscripts.- jssdenton
- Post #3
- Forum: Differential Equations
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J
Graduate Numerically solving system of four PDEs
Hi Forum, I'm trying to use Mathematica to graphically explore a system of four PDEs, as defined in Yang et al. (2002). Spatial Resonances and Superposition Patterns in a Reaction-Diffusion Model with Interacting Turing Modes. Physical Review Letters 88(20). The equations are: \frac{\partial...- jssdenton
- Thread
- Mathematica Pde system Pdes System Turing
- Replies: 8
- Forum: Differential Equations