Dakota State University, College of Arts and Sciences, Madison, South Dakota, 57042. E-mail: rich.avery@dsu.edu
AMS subject classification: 39A12, 37H10.
We find the solution of the partial difference equation for x ∈ [1,m] subject to the absorbing boundary conditions at x = 0 and x = m+1. Green's function will be determined using random walk techniques applying the reflective and inclusion-exclusion principles.
Partial difference equations, Green's function, random walks, reflective principle, inclusion-exclusion principle
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