Browsing by Subject "Approximate symmetries"

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    On approximate symmetries of a wave equation with quadratic non-linearity
    (Assoc Sci Res, 2000) Pakdemirli M.; Yurusoy M.
    Two different approximate symmetry methods and a proposed new one are contrasted using a wave equation with quadratic non-linearity. For each method, the approximate symmetries are calculated first. Then approximate solutions corresponding to some of the symmetries are calculated. It is found that a given specific approximate solution is attainable only by using the new proposed method.
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    Approximate symmetries of creeping flow equations of a second grade fluid
    (2004) Dolapçi I.T.; Pakdemirli M.
    Creeping flow equations of a second grade fluid are considered. Two current approximate symmetry methods and a modified new one are applied to the equations of motion. Approximate symmetries obtained by different methods and the exact symmetries are contrasted. 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. © 2004 Elsevier Ltd. All rights reserved.
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    Comparison of Approximate Symmetry Methods for Differential Equations
    (2004) Pakdemirli M.; Yürüsoy M.; Dolapçi I.T.
    Two 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.