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The Lie-group approach to the perturbative renormalization group (RG) methodis developed to obtain an asymptotic solutions of both autonomous andnon-autonomous ordinary differential equations. Reduction of some partialdifferetial equations to typical RG equations is also achieved by this approachand a simple recipe for providing RG equations is presented.Comment: 32pages, 2figure

Lie-Group Approach to Perturbative Renormalization Group Method