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A new method is presented to obtain the anomalous dimension in the solutionof the Barenblatt's equation. The result is the same as that in therenormalization group (RG) approach. It gives us insight on the perturbativesolution of the Barenblatt's equation in the RG approach. Based on thisdiscussion, an improvement is made to take into account, in more complete way,the nonlinear effect, which is included in the Heaviside function in higherorders. This improved result is better than that in RG approach.Comment: 17 pages, LaTex, no figur

Anomalous dimension in the solution of the Barenblatt’s equation