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Oct 15, 2010 at 16:02 comment added sleepless in beantown Also, I notice that you've added the condition of reflecting boundaries, for the first quadrant. The assumptions and starting conditions should also be changed in your question above. Did you read Wadim Zudilin's pointers about the continuous and random walks?
Oct 15, 2010 at 15:59 comment added sleepless in beantown @Lakshmi, it's good that you're updating this question. But the usual and customary way to update the question is by editing the question yourself at the top of the page. You don't need to post an answer to your own question. Perhaps change your initial question and put at the end of it: "I am also interested in the same question in the context of a continuous random walk." I would edit the question for you, but I do not yet have the ability to do that.
Oct 15, 2010 at 15:43 history answered Lakshmi CC BY-SA 2.5