Advances in the theory of existence and numerical simulations for the one-dimensional transport equation

作者：

Highlights：

• We solved the transport equation in a one-dimensional region.

• We applied the Nyström method to the transport equation.

• We dealt with numerical methods for transport equations.

• We established the theory of existence for one-dimensional transport equation.

摘要

•We solved the transport equation in a one-dimensional region.•We applied the Nyström method to the transport equation.•We dealt with numerical methods for transport equations.•We established the theory of existence for one-dimensional transport equation.

论文关键词：Transport theory,Integral formulation,Existence theory,Nyström method,Fredholm equation

论文评审过程：Received 23 July 2021, Revised 8 March 2022, Accepted 20 April 2022, Available online 11 May 2022, Version of Record 11 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127191