Inverse problem of identification of heat source depending only on time variable in non-standard parabolic equation

A class of inverse problem of identification of heat source depending on time variable in parabolic equation with convection term was discussed.This problem was ill-posed,i.e.,the solution did not depend continuously on the measured data.Two regularized approximate solutions of the inverse problem were obtained by using simplified Tikhonov regularization method and quasi-reverse regularization met…