radamel7 Posted November 17, 2014 Share Posted November 17, 2014 (edited) How do you evaluate the first and the second moment for 1,2,3 dimensions? I attached a picture with the equation. Edited November 17, 2014 by radamel7 Link to comment Share on other sites More sharing options...
studiot Posted November 17, 2014 Share Posted November 17, 2014 This looks like the Greens Function solution by introducing the linear diffusion operator, L [math]L = \frac{\partial }{{\partial t}} - k{\nabla ^2}[/math] Have you considered the boundary conditions, both in time and space? Link to comment Share on other sites More sharing options...
radamel7 Posted November 17, 2014 Author Share Posted November 17, 2014 No, I guess no boundary conditions in this case. Link to comment Share on other sites More sharing options...
elfmotat Posted November 17, 2014 Share Posted November 17, 2014 In regards to the Green's function comment, a table of common Green's functions can be found here: http://en.wikipedia.org/wiki/Green%27s_function#Table_of_Green.27s_functions. (Yours is on there.) Additionally, at a glance it should be easy to see that it looks very much like a wave equation. In fact, it looks nearly identical to the Schrodinger equation, except that's it's real everywhere. Should you have no knowledge of Green's functions you could try to solve it by analogy with wave equations. Link to comment Share on other sites More sharing options...
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