内蒙古民族大学学报（自然科学版）2025，Vol.40Issue(5)：80-85,6.DOI:10.14045/j.cnki.15-1220.2025.05.011
改进Robin边界条件下抛物型方程控制系数反演
Improvement of the Inversion of Control Coefficients for Parabolic Equations under Robin Boundary Conditions
摘要
Abstract
Inverse study for a parabolic partial differential equation with a control parameter under Robin boundary conditions is presented,and the problem is solved by finite difference method.The composite Simpson in-tegral formula is used to discretize the additional conditions,and the Crank-Nicolson difference method is applied to invert the control parameters.Numerical examples show that this method is stable and effective for the inversion of control coefficients of such parabolic equations.关键词
抛物型方程反问题/改进Robin边界条件/Crank-Nicolson差分法/复化Simpson积分公式Key words
inverse problems of parabolic equations/improved Robin boundary conditions/Crank-Nicolson dif-ference method/composite Simpson's integral formula分类
数理科学引用本文复制引用
赵静,张永富,苏丽丽..改进Robin边界条件下抛物型方程控制系数反演[J].内蒙古民族大学学报（自然科学版）,2025,40(5):80-85,6.基金项目
国家自然科学基金项目(11961053) （11961053）
内蒙古自治区直属高校基本科研业务费项目(GXKY25Z013) （GXKY25Z013）
