Selling unique mathematical how to be certain the invariant degree of two-dimensional random walks in domain names with barriers, the authors use utilizing Riemann surfaces and boundary price difficulties to suggest thoroughly new techniques to unravel practical equations of 2 advanced variables. those tools can be hired to symbolize the brief habit of random walks within the region airplane.
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Harmonic and biharmonic boundary worth difficulties (BVP) bobbing up in actual events in fluid mechanics are, quite often, intractable via analytic suggestions. within the final decade there was a fast bring up within the software of critical equation strategies for the numerical resolution of such difficulties [1,2,3].
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