Original Post
Hi, im in a software engineering program and was recently assigned a "simple reaction diffusion model" project for my conputer modeling class. Im struggling with how im supposed to work through all of it so i wa hoping someone on here might be able to give me a hand. The only thing we are given really are these two equations which perform the reaction: 
A and B are the two chemicals reacting and Da and Db are constants. The instructions are: "Numerical solutions of the full euation with the diffusion can be found by making a finite difference approximation of the spatial derivatives and using simple euler algorithm fir the time integration. Adopt periodic boundry conditions. Although......." What the simulaiton will look like is a picture of the diffusion occuring, a section in the center of the screen will spread out over time etc. What im strugling with is what the upsidedown triangle is. If looked around on the net and I think it's a LaPlacian and will dictate for the diffusion will propogate, but if it is that, how do i figure that out. More specifically, how would i solve the partial derivatives with respect to x and y (2d system). If any more information is needed iwill be checking this thread and thanks in advance.
A and B are the two chemicals reacting and Da and Db are constants. The instructions are: "Numerical solutions of the full euation with the diffusion can be found by making a finite difference approximation of the spatial derivatives and using simple euler algorithm fir the time integration. Adopt periodic boundry conditions. Although......." What the simulaiton will look like is a picture of the diffusion occuring, a section in the center of the screen will spread out over time etc. What im strugling with is what the upsidedown triangle is. If looked around on the net and I think it's a LaPlacian and will dictate for the diffusion will propogate, but if it is that, how do i figure that out. More specifically, how would i solve the partial derivatives with respect to x and y (2d system). If any more information is needed iwill be checking this thread and thanks in advance.