Bildik N.Deniz S.2024-07-222024-07-2220180749159Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14957In this study, an efficient framework is provided to handle nonlinear partial differential equations by implementing perturbation iteration method. This method is recovered and amended to solve the Burgers' and regularized long wave equations. Comparing our new solutions with the exact solutions reveals that this technique is extremely accurate and effective in solving nonlinear models. Convergence analysis and error estimate are also supplied using some critical theorems. © 2017 Wiley Periodicals, Inc.EnglishIterative methodsNonlinear equationsPartial differential equationsPerturbation techniquesconvergenceConvergence analysisCritical TheoremIteration methodIteration techniquesNon-linear modelNonlinear partial differential equationsRegularized long wave equationWave equationsArticle10.1002/num.22214