TY - JOUR A2 - Fang, Zhong Bo AU - Min, Tao AU - Fu, Weimin AU - Huang, Qiang PY - 2014 DA - 2014/03/02 TI - Inverse Estimates for Nonhomogeneous Backward Heat Problems SP - 529618 VL - 2014 AB - We investigate the inverse problem in the nonhomogeneous heat equation involving the recovery of the initial temperature from measurements of the final temperature. This problem is known as the backward heat problem and is severely ill-posed. We show that this problem can be converted into the first Fredholm integral equation, and an algorithm of inversion is given using Tikhonov's regularization method. The genetic algorithm for obtaining the regularization parameter is presented. We also present numerical computations that verify the accuracy of our approximation. SN - 1110-757X UR - https://doi.org/10.1155/2014/529618 DO - 10.1155/2014/529618 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -