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In this paper, we will study about the advanced method is an appropriate union of the new integral transform named as “Laplace-Carson transform" and the homotopy perturbation method. Also finding the analytical solution of the heat equation and wave equation using the homotopy perturbation Laplace-Carson transform method (HPLCTM) is merged form of Laplace-Carson transform,homotopy perturbation method and He’s polynomial.
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S. et al. (2024) studied this question.
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