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PENYELESAIAN PERSAMAAN DIFERENSIAL BIASA NONLINEAR MENGGUNAKAN METODE DEKOMPOSISI ADOMIAN

FITRIANA, HANNA (2014) PENYELESAIAN PERSAMAAN DIFERENSIAL BIASA NONLINEAR MENGGUNAKAN METODE DEKOMPOSISI ADOMIAN. Other thesis, University of Muhammadiyah Malang.

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Abstract

An ordinary differential equation was the differential equation where its unknown function (dependent variable) only consists of one independent variable. There were to kinds of differential equation. They were linear and nonlinear ordinary differential equation. One kind of nonlinear ordinary differential equation was Bernoulli and Van der Pol equation. Moreover, one of many methods that could be used to solve the nonlinear ordinary differential equation was Adomian Decomposition Method.Adomian decomposition method was constructed from the inverse existence of non-linear operator to get the solution of the equation that would be solved. The Bernoulli equation y'+P(x)y=Q(x)y^nand Van der Polequationy^''+a(1+y^2 ) y^'+y=0would be solved based on Adomian Decomposition method without linearization but Adomian polynomial (An). George Adomiansaid that the solution of Adomian polynomial A_n=1/n! ├ d/dλ Nu┤|_(λ=0)is in the form of u=∑_(n=0)^∞▒〖λ^n u_n 〗series.

Item Type: Thesis (Other)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Teacher Training and Education > Department of Mathematics and Computing
Depositing User: Gusti Vani Putri Cahya
Date Deposited: 27 Oct 2008 05:37
Last Modified: 27 Oct 2008 05:37
URI : http://eprints.umm.ac.id/id/eprint/15952

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