Prof. Dr. Allaberen ASHYRALYEV
Near East University

Time-dependent source identification problem for Schrodinger differential and difference equations

Source identification problems(SIPs) have the significant role in natural science, applied sciences, engineering, quantum mechanics, diffusion equations, heat equations (see, e.g., [1]-[4]). This is a discuss, the time-dependent SIP for the Schrödinger equation

Single-step absolute stable di§erence schemes for the numerical solution of time-dependent SIP are presented. The main theorems on stability estimates for the solutions of these problems are established. In practice, the stability estimates for solution of four problems for Schrˆdinger differential and difference equations are proved. Numerical results and explanatory illustrations are presented show the validation of the theoretical results.