This paper considers an inverse initial value problem of diffusion equation with local and nonlocal operators. For this ill-posed problem, we give prove a result conditional stability. Meanwhile, Landweber iterative regularization method is used to overcome the ill-posedness, based on stability, convergence estimates Hölder type for are derived under a-priori a-posteriori choice rules regulariz...

in this paper, we investigate the application of the homotopy perturbation method (hpm) for solving a one-dimensional nonlinear inverse heat conduction problem. in this problem the thermal conductivity term is a linear function with respect to unknown heat temperature in bounded interval. furthermore, the temperature histories are unknown at the end point of the interval. this problem is ill-po...