Abstract
In the paper we study the entropy of the scalar field in the background of regular black holes (Heyward and nonsingular)by using the brick-wall method suggested by the’t Hooft. We show the leading term of entropy follows the Bekenstein-Hawking area law and the brickwall method predicts the corrections to the entropy of the regular black hole. The general structure of the coefficient of logarithmic sub-leading corrections for the both black holes are same. The coefficients of the logarithmic corrections are-1/180 for both regular black holes which differ from the Schwarzschild black hole.
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