Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems

Persamaan pembezaan kabur ( FDEs ) digunakan untuk memodel masalah tertentu dalam bidang sains dan kejuruteraan dan telah dikaji oleh ramai penyelidik . Masalah tertentu memerlukan penyelesaian FDEs yang memenuhi keadaan awal kabur menimbulkan masalah awal kabur ( FIVPs ). Contoh masalah seperti ini...

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Main Author: Al-Jassar, Ali Fareed Jameel
Format: Thesis
Language:English
Published: 2015
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Online Access:http://eprints.usm.my/31597/1/Ali_Fareed_Jameel_Al-Jassar.pdf
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spelling my-usm-ep.315972019-04-12T05:25:44Z Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems 2015-04 Al-Jassar, Ali Fareed Jameel QA75.5-76.95 Electronic computers. Computer science Persamaan pembezaan kabur ( FDEs ) digunakan untuk memodel masalah tertentu dalam bidang sains dan kejuruteraan dan telah dikaji oleh ramai penyelidik . Masalah tertentu memerlukan penyelesaian FDEs yang memenuhi keadaan awal kabur menimbulkan masalah awal kabur ( FIVPs ). Contoh masalah seperti ini boleh didapati dalam fizik, kejuruteraan, model penduduk, dinamik reaktor nuklear, masalah perubatan, rangkaian neural dan teori kawalan. Walau bagaimanapun, kebanyakan masalah nilai awal kabur tidak boleh diselesaikan dengan tepat. Tambahan pula, penyelesaian analisis tepat yang diperoleh juga mungkin begitu sukar untuk dinilai dan oleh itu kaedah berangka dan analisis hampiran perlu untuk memperoleh penyelesaian. Fuzzy differential equations (FDEs) are used for the modeling of some problems in science and engineering and have been studied by many researchers. Certain problems require the solution of FDEs which satisfy fuzzy initial conditions giving rise to fuzzy initial problems (FIVPs). Examples of such problems can be found in physics, engineering, population models, nuclear reactor dynamics, medical problems, neural networks and control theory. However, most fuzzy initial value problems cannot be solved exactly. Furthermore, exact analytical solutions obtained may also be so difficult to evaluate and therefore numerical and approximate- analytical methods may be necessary to evaluate the solution. 2015-04 Thesis http://eprints.usm.my/31597/ http://eprints.usm.my/31597/1/Ali_Fareed_Jameel_Al-Jassar.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Komputer
institution Universiti Sains Malaysia
collection USM Institutional Repository
language English
topic QA75.5-76.95 Electronic computers
Computer science
spellingShingle QA75.5-76.95 Electronic computers
Computer science
Al-Jassar, Ali Fareed Jameel
Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems
description Persamaan pembezaan kabur ( FDEs ) digunakan untuk memodel masalah tertentu dalam bidang sains dan kejuruteraan dan telah dikaji oleh ramai penyelidik . Masalah tertentu memerlukan penyelesaian FDEs yang memenuhi keadaan awal kabur menimbulkan masalah awal kabur ( FIVPs ). Contoh masalah seperti ini boleh didapati dalam fizik, kejuruteraan, model penduduk, dinamik reaktor nuklear, masalah perubatan, rangkaian neural dan teori kawalan. Walau bagaimanapun, kebanyakan masalah nilai awal kabur tidak boleh diselesaikan dengan tepat. Tambahan pula, penyelesaian analisis tepat yang diperoleh juga mungkin begitu sukar untuk dinilai dan oleh itu kaedah berangka dan analisis hampiran perlu untuk memperoleh penyelesaian. Fuzzy differential equations (FDEs) are used for the modeling of some problems in science and engineering and have been studied by many researchers. Certain problems require the solution of FDEs which satisfy fuzzy initial conditions giving rise to fuzzy initial problems (FIVPs). Examples of such problems can be found in physics, engineering, population models, nuclear reactor dynamics, medical problems, neural networks and control theory. However, most fuzzy initial value problems cannot be solved exactly. Furthermore, exact analytical solutions obtained may also be so difficult to evaluate and therefore numerical and approximate- analytical methods may be necessary to evaluate the solution.
format Thesis
qualification_name Doctor of Philosophy (PhD.)
qualification_level Doctorate
author Al-Jassar, Ali Fareed Jameel
author_facet Al-Jassar, Ali Fareed Jameel
author_sort Al-Jassar, Ali Fareed Jameel
title Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems
title_short Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems
title_full Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems
title_fullStr Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems
title_full_unstemmed Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems
title_sort numerical and approximate- analytical solution of fuzzy initial value problems
granting_institution Universiti Sains Malaysia
granting_department Pusat Pengajian Sains Komputer
publishDate 2015
url http://eprints.usm.my/31597/1/Ali_Fareed_Jameel_Al-Jassar.pdf
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