Solution of the one-dimensional transport equation by the vector Green function method: Error bounds and simulation

作者：

Highlights：

• We solve numerically the anisotropic transport equation using techniques of integral operators.

• We present bound error estimates for the GFD method.

• We present numerical results for one dimensional transport equation near criticality.

• We apply the Green function decomposition method to solve numerically the radiative transport equation in a slab.

摘要

•We solve numerically the anisotropic transport equation using techniques of integral operators.•We present bound error estimates for the GFD method.•We present numerical results for one dimensional transport equation near criticality.•We apply the Green function decomposition method to solve numerically the radiative transport equation in a slab.

论文关键词：Transport equation,Theorem of existence,Error bounds,Numerical method

论文评审过程：Available online 25 June 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.05.028