Anewwidlyconvergentmethodforsolvingtheproblemofoperatorkientificationisillustrated.Numericalsimulationsarecarriedouttotestthefeasibllityandtostudythegeneralcharacteristicsofthetechniquewithouttherealmeasurementdata.Thistechniqueisadirectapplicationofthecontinuationhomotopymethodforsolvingnonlinearsystemsofequations.Itisfoundthatthismethoddoesgiveexcellentresultsinsolvingtheinverseproblemoftheellipticdifferentialequations.