The Inverse Problem of Identifying the Heat Source with Only Spatial Variable for the Non-standard Heat Equation in the Bounded Domain

The inverse problem of determining a spacewise-dependent heat source is discussed for one-dimensional heat equation with convection term in the bounded domain.This problem is ill-posed,i.e.t,he solution does not de-pend continuously on the measurement data.A regular approximate solution of the inverse problem is obtained by the quasi-reversibility regularization method,and the H?lder type error es…