摘要
In this paper,a Cauchy problem of two-dimensional heat conduction equation is investigated.This is a severely iⅡ-posed problem.Based on the solution of Cauchy problem of two-dimensional heat conduction equation,we propose to solve this problem by modifying the kernel,which generates a well-posed problem.Error estimates between the exact solution and the regularized solution are given.We provide a numerical experiment to illustrate the main results.
基金
supported by the National Natural Science Foundation of China(11101109,11271102)and the Natural Science Foundation of Heilongjiang Province of China(A201107).
