一维对流扩散方程初始条件反问题的数值求解

NUMERICAL SOLUTION OF THE INITIAL CONDUCTION INVERSE PROBLEM FOR THE ONE-DIMENSIONAL CONVECTION-DIFFUSION EQUATION

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外文摘要：The one-dimensional convection-diffusion equation is discretized by the trapezoidal quadrature formula and transformed it into linear discrete equations.On this basis,conjugate gradient least squares algorithm(CGLS)is proposed to invert the initial conduction.The feasibility and effectiveness of the algorithm are verified by specific numerical examples.In addition,the stability estimates of the solutions are given analytically.

外文关键词：

trapezoidal quadrature formulaconvection-diffusion equationlinear discrete equationsCGLSstability estimation

作者：

韩莹莹、闵涛

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作者单位：

西安交通大学城市学院数学教学部,西安 710018

西安理工大学理学院,西安 710054

关键词：

trapezoidal quadrature formula convection-diffusion equation linear discrete equations CGLS stability estimation

出版年：

2024

高等学校计算数学学报

南京大学

高等学校计算数学学报

CSTPCD

影响因子：0.164

ISSN：1000-081X

年,卷(期)：2024.46(2)