Pakdemirli M.Yürüsoy M.Dolapçi I.T.2024-07-222024-07-22200401678019http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20018Two current approximate symmetry methods and a modified new one are contrasted. Approximate symmetries of potential Burgers equation and non-Newtonian creeping flow equations are calculated using different methods. Approximate solutions corresponding to the approximate symmetries are derived for each method. Symmetries and solutions are compared and advantages and disadvantages of each method are discussed in detail.EnglishAlgorithmsApproximation theoryMathematical transformationsNonlinear equationsPerturbation techniquesProblem solvingSet theoryApproximate symmetriesLie group theoryEquations of motionArticle10.1023/B:ACAP.0000018792.87732.25