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math.AP2023★ 1 cited
Diffusion laws select boundary conditions
Jaywan Chung, Seungmin Kang, Ho-Youn Kim +1
The choice of boundary condition makes an essential difference in the solution structure of diffusion equations. The Dirichlet and Neumann boundary conditions and their combination…
math.AP2023
Random walk with heterogeneous sojourn time
Jaywan Chung, Yong-Jung Kim, Min-Gi Lee
We introduce a discrete-time random walk model on a one-dimensional lattice with a nonconstant sojourn time and prove that the discrete density converges to a solution of a continu…