A finite difference method for heat equation in the unbounded domain
Quan Zheng, Xin Zhao
Available Online November 2016.
- https://doi.org/10.2991/aest-16.2016.51How to use a DOI?
- non-homogeneous heat equation; unbounded domain; artificial boundary condition; finite difference method; error estimate.
- The numerical method of the one-dimensional non-homogeneous heat equation on an unbounded domain is considered. Two exact artificial boundary conditions are applied on two artificial boundaries to limit the original problem onto a bounded computational domain. Then the finite difference method is developed by using the method of the reduction of order for the control equation and artificial boundary conditions. It is proved that the finite difference scheme is stable and convergent with the order 2 in space and order 3/2 in time under an energy norm. A non-homogeneous numerical example demonstrates the unconditional stability and the accuracy of the algorithm.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Quan Zheng AU - Xin Zhao PY - 2016/11 DA - 2016/11 TI - A finite difference method for heat equation in the unbounded domain BT - 2016 International Conference on Advanced Electronic Science and Technology (AEST 2016) PB - Atlantis Press SP - 387 EP - 392 SN - 1951-6851 UR - https://doi.org/10.2991/aest-16.2016.51 DO - https://doi.org/10.2991/aest-16.2016.51 ID - Zheng2016/11 ER -