SOLUSI NUMERIK DAN ANALISIS GALAT SISTEM PERSAMAAN DIFERENSIAL ORDE-2 DENGAN MENGGUNAKAN ONE STEP METHOD DAN MULTI STEP METHOD
| Main Author: | DWI SUSANTI, RENI |
|---|---|
| Format: | Thesis NonPeerReviewed |
| Terbitan: |
, 2013
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| Subjects: | |
| Online Access: |
http://eprints.umm.ac.id/15755/ |
Daftar Isi:
- Differential equation is an equation that contains one or more derivatives of the dependent variable on the independent variable. Types of differential equations can be seen in the form, order, and the linear coefficient, there is also a system of differential equations, therefore many ways to solve either numerically or analytically. Numerically can be used one-step methodwhich are Eulerian method, Heun method, Kutta Rungge and Taylor series, for Multi-Step Method are the Adams Bashforth Moulton, Milne-Simpson and Haming method. The purpose of this study was to determine the steps and analysis galatnya numerical solution of differential equations by using the Heun method and the Adams Bashforth Moulton. This study uses problem solving study of literature. The results showed that the numerical solution of differential equations system with order-2 Heun method can be done through the following stages: (1) seek special solutions prior system of differential equations that are solved by the method of elimination and substitution, (2) of the particular solution will be formed equation order differential only, (3) calculate the number of iterations using(x_r-x_0)/h.search for predictor and corrector equations, (5) calculate the error of each iteration bersarnya. While the stages in the Adams Bashforth Moulton namely (a) using-1-order differential equations obtained from the calculation of the Heun method is used to find the numerical solution using the Adams Bashforth Moulton, (b) the results of each equation in the corrector Heun method will be the benchmark to seekf_r,f_(r-1),f_(r-2) and f_(r-3)by using the known h, (c) find similarities and koerktor predictor of the Adams Bashforth Moulton, (d) for the error of each iteration. However, the value between the two methods are called error margin. The amount of error in the method of Adams Bashforth Moulton smaller when compared to using the Heun method.