Sabari, M.George, S.2026-02-052018Computational Methods in Applied Mathematics, 2018, 18, 2, pp. 313-32116094840https://doi.org/10.1515/cmam-2017-0024https://idr.nitk.ac.in/handle/123456789/25202An error estimate for the minimal error method for nonlinear ill-posed problems under general a Hölder-type source condition is not known. We consider a modified minimal error method for nonlinear ill-posed problems. Using a Hölder-type source condition, we obtain an optimal order error estimate. We also consider the modified minimal error method with noisy data and provide an error estimate. © 2018 Walter de Gruyter GmbH, Berlin/Boston.Euler equationsDiscrepancy principleError estimatesMinimal errorsNoisy dataNonlinear ill-posed problemsOptimal order error estimatesRegularization methodsSource conditionsErrors