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ITS » Master Theses » Matematika - S2
Posted by tondoindra@gmail.com at 02/03/2012 10:26:21  •  1753 Views


PENYELESAIAN MASALAH REAKSI DIFUSI SEBAGAI MASALAH INVERS PROBLEM

PROBLEM SOLVING OF REACTION DIFFUSION AS A INVERSE PROBLEM

Author :
ELLY MUSTA'ADAH ( 1209201709 )




ABSTRAK

Invers problem banyak muncul pada bidang teknologi dan ilmu pengetahuan. Pada dasarnya invers problem menggunakan pengukuran nyata dari parameter yang diamati untuk menyimpulkan nilai dari suatu parameter model. Invers problem dalam hal ini merekonstruksi dua koefisien independent bebas dalam sistem reaksi difusi dari pengukuran akhir dengan dua persamaan. Model matematika reaksi difusi yang merupakan persamaan parabolik akan ditransformasikan menjadi masalah optimasi dengan menggunakan kerangka kontrol optimal. Minimizer untuk fungsi kontrol ditetapkan. Eksistensi dari minimizer tersebut menunjukkan bahwa ada penyelesaian untuk fungsi kontrol yang digunakan. Kestabilan hasil estimasi untuk dua koefisien diperoleh dari kondisi perlu.


ABSTRACT

Inverse problems exist in many areas of technology and science. Basically the inverse problem uses the real measurement of the parameters which observed to infer the value of a parameter model. Inverse problems in this case reconstructed two independent coefficients in reaction diffusion systems of final measurement with two equations. Mathematical model of reaction diffusion equations which are parabolic equation transformed into an optimization problem using optimal control framework. Minimizer for the control functions is fixed. The existence of the minimizer is shown that solution is implemented is used to control functions. The stability of the estimation results for the two coefficients obtained from the necessary conditions



Keywordsinvers problem;kontrol optimal;sistem reaksi difusi
 
Subject:  Difusi
Contributor
  1. Dr. Erna Apriliani, M.Si
Date Create: 27/07/2011
Type: Text
Format: pdf
Language: Indonesian
Identifier: ITS-Master-3100012045584
Collection ID: 3100012045584
Call Number: RTMa 515.3 Mus p


Source
Master Theses,Mathematics,RTMa 515.3 Mus p,2012

Coverage
ITS Community

Rights
Copyright @2011 by ITS Library. This publication is protected by copyright and per obtained from the ITS Library prior to any prohibited reproduction, storage in a re transmission in any form or by any means, electronic, mechanical, photocopying, reco For information regarding permission(s), write to ITS Library




[ Download - Open Access ]

  1.  ITS-Master-17881-1209201709-abstract-idpdfpdf.pdf - 311 KB
  2.  ITS-Master-17881-1209201709-aabstract-enpdfpdf.pdf - 312 KB
  3.  ITS-Master-17881-1209201709-conclusionpdfpdf.pdf - 176 KB
  4.  ITS-Master-17881-1209201709-paperpdfpdf.pdf - 510 KB




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