1Research Scholar, Ex-Pro-Vice-Chancellor AMU, School of Basic Science and Research, Sharda University, Noida, Uttar Pradesh, India
2Ex-Pro-Vice-Chancellor AMU, School of Basic Science and Research, Sharda University, Noida, Uttar Pradesh, India
*(*Corresponding Author) E-mail Id: amita.garg222@gmail.com
Consider a 1-D backward heat conduction problem with Neumann boundary conditions. We recover u(x, 0) from the measured data u(x, t) means, initial temperature from the measurement of final temperature. In this work basic tools are Tikhonov regularization and Morozov's discrepancy principle. The regularization parameter is computed by the discrepancy principle of Morozov, and a first-kind Fredholm integral equation is used for numerical simulation.
Backward heat problem, regularization, ill-posed, method of separation of variable, Neumann boundary conditions, regularization parameter, Morozov's discrepancy principle
