APPLICATION OF ADOMIAN DECOMPOSITION METHOD, TAYLOR SERIES METHOD AND A VARIATIONAL ITERATIONS METHOD TO SOLVING A SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
Ablakul AbdirashidovBekzod OrtikovStudent of Mechanical and Mathematical Faculty, Samarkand State University, UzbekistanNurshod KadirovCorresponding member of International Academy, Doctor of Physical and Mathematical Sciences, Docent to department of theoretical and applied mechanics, Samarkand State University, UzbekistanAkmaljon AbdurashidovResearcher Samarkand State University, Uzbekistan
ABI
Аннотация
In this paper, the Cauchy problem with the second order ordinary differential equations is solved analytically using the Adomian decomposition method, Taylor series method and the variational iteration method. It is shown that these methods are the most effective and convenient for solving some evolution equations. The obtained approximate solutions were compared, the results of these methods are the same; while the method of decomposition of Adomian can be much simpler, more convenient and more efficient to approach such problems as compared to the method of variational iteration and other traditional methods.
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