An improved scheme for a Robin boundary condition in discrete-time random walk algorithms

MIXED BOUNDARY VALUE PROBLEM FOR A QUARTER-PLANE WITH A ROBIN CONDITION

We consider a mixed boundary value problem for a quarter-plane with a Robin condition on one edge. We have developed two procedures, one based on the advanced theory of dual integral equations and the other, in our opinion simpler technique, relying on conformal mapping. Both of the procedures are of interest, because the former may be easier to adapt to other boundary value problems.

Particle Creation by a Moving Boundary with Robin Boundary Condition

We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic moving boundary. We derive a Bogoliubov transformation between input and output bosonic field operators, which allows us to calculate the spectral distribution of created particles. The cases of Dirichlet and Neumann BC may be obtained from our result as limiting cases. These t...

Existence and Uniqueness of the Solution for a Time-Fractional Diffusion Equation with Robin Boundary Condition

and Applied Analysis 3 is the fundamental solution of TFDE 3, 7–9 . Here H20 12 is the Fox H-function, which is defined via Mellin-Barnes integral representation H20 12 z : H 20 12 [ z | α, α n/2, 1 , 1, 1 ] 1 2πi ∫ C Γ n/2 s Γ 1 s Γ α αs z−s ds, 2.3 where C is an infinite contour on the complex plane circulating the negative real axis counterclockwise. The volume potential is defined by ( Vφ )...

mixed boundary value problem for a quarter-plane with a robin condition

we consider a mixed boundary value problem for a quarter-plane with a robin condition on one edge. we have developed two procedures, one based on the advanced theory of dual integral equations and the other, in our opinion simpler technique, relying on conformal mapping. both of the procedures are of interest, because the former may be easier to adapt to other boundary value problems.

The Martin Boundary for Random Walk