The Quasi-boundary regularization method for inverting the left boundary of fractional Schr?dinger equation
The problem of inverting the left boundary of the time-fractional Schrödinger equation in the unbounded region is studied,which is an ill-posed problem,meaning that the solution discontinuously de-pends on the measurement data.A quasi-boundary regularization method is used to solve this inverse prob-lem,and its regularized solution is given.The error estimates between the regularization solution and the exact solution are derived under the priori and the posteriori regularization parameter selection rule.
time-fractional Schrödinger equationinverting the left boundaryill-posed problemquasi-boundary regularization method
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