Pornsarp PornsawadNantawan SapsakulChristine BöckmannUniversität PotsdamSilpakorn UniversityMahidol University2020-01-272020-01-272019-05-01Mathematics. Vol.7, No.5 (2019), 419222773902-s2.0-85073671835https://repository.li.mahidol.ac.th/handle/20.500.14594/51223© 2019 by the authors. In this paper, we investigate the continuous version of modified iterative Runge-Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work. The convergence analysis is proved under the tangential cone condition, a modified discrepancy principle, i.e., the stopping time T is a solution of ||F(xδ(T))-yδ||=τδ+ for some δ+ > δ, and an appropriate source condition. We yield the optimal rate of convergence.Mahidol UniversityMathematicsArticleSCOPUS10.3390/math7050419