A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations

摘要

A new algorithm of the generalized pulse-spectrum technique (GPST) is constructed for the solution of coefficient inverse problems of differential equations, and a skill of saving computational cost is designed in choosing regularizing parameters. To overcome the defect of the local convergence of the GPST, a widely convergent GPST is illustrated. Numerical simulations are carried out for solving the inverse problem of 1 − D seismic prospection to test the feasibility without real measurement data. The computational results show the method's effectiveness.