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PARTICULAR SOLUTION OF BOUNDARY PROBLEMS FOR THE HEAT DISSIPATION EQUATION USING THE APPROXIMATION METHODS.

Elbek IsmoilovFiruza KasimovaSamarkand State University Senior Lecturer to department of theoretical and applied mechanics, UzbekistanBekzod OrtikovElbek Ismoilov Samarkand State University Assistant to department of theoretical and applied mechanics, UzbekistanAblakul AbdirashidovSamarkand State University Corresponding member of International Academy, Doctor of Physical and Mathematical Sciences, Docent to department of theoretical and applied mechanics, Uzbekistan,
ABI

Abstract

In this paper, variational iteration method and Adomian decomposition method has been applied to obtain particular solution of boundary problems for the heat dissipation equation. It is shown that these methods are effective and more powerful mathematical tools for the solution of the partial differential equations.

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