Pakdemirli M.Aksoy Y.Boyaci H.2024-07-222024-07-2220111300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18191Two new perturbation-iteration algorithms for solving differential equations of first order are proposed. Variants of the algorithm are developed depending on the differential order of Taylor series expansions. The iteration algorithms are tested on a number of first order equations. Much better solutions than the regular perturbation solutions are achieved. © Association for Scientific Research.EnglishAll Open Access; Gold Open AccessConvergence of numerical methodsDifferential equationsPerturbation techniquesTaylor seriesNumerical methodsConvergenceFirst order differential equationIteration algorithmsNumerical solutionPerturbation methodIterative methodsArticle10.3390/mca16040890