A nonlocal diffusion problem that approximates the heat equation with Neumann boundary conditions
In this paper we discuss a nonlocal approximation to the classical heat equation with Neumann boundary conditions. We considerwt∊(x,t)=1∊N+2∫ΩJx-y∊(w∊(y,t)-w∊(x,t))dy+C1∊N∫∂ΩJx-y∊g(y,t)dSy,(x,t)∈Ω‾×(0,T),w(x,0)=u0(x),x∈Ω‾,and we show that the corresponding solutions, w∊, converge to the classical so...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-01-01
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| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364717307887 |