Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials
Abstract: The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport equation to determine the diffusion coeffici...
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| Format: | Article |
| Language: | English |
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Suleyman Demirel University
2015-11-01
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| Series: | Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi |
| Subjects: | |
| Online Access: | http://dergipark.gov.tr/sdufeffd/issue/11282/134836?publisher=sdu-1 |
| _version_ | 1828021437346086912 |
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| author | Ökkeş EGE Hakan ÖZTÜRK Ahmet BÜLBÜL |
| author_facet | Ökkeş EGE Hakan ÖZTÜRK Ahmet BÜLBÜL |
| author_sort | Ökkeş EGE |
| collection | DOAJ |
| description | Abstract: The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport equation to determine the diffusion coefficients of one-speed neutrons for selected values of the scattering parameters.
Key words: First kind of Chebyshev polynomials, neutron transport equation, diffusion approximation
Birinci Tip Chebyshev Polinomları ile Nötron Transport Denklemine Difüzyon Yaklaşımı
Özet: Nötron transport teorisinde açısal akının seri açılımı için I. Tip Chebyshev polinomları kullanıldı. Tek hızlı nötronların difüzyon katsayılarını belirlemek için difüzyon yaklaşımı olarak bilinen ilk mertebe yaklaşımı saçılma parametrelerinin seçilen değerleri için tek boyutlu nötron transport denklemine uygulanmıştır.
Anahtar kelimeler: I. tip Chebyshev polinomları, nötron transport denklemi, difüzyon Yaklaşımı |
| first_indexed | 2024-04-10T11:52:52Z |
| format | Article |
| id | doaj.art-a9f5efdff8dd4d09abf46a8e5c8cab3c |
| institution | Directory Open Access Journal |
| issn | 1306-7575 |
| language | English |
| last_indexed | 2024-04-10T11:52:52Z |
| publishDate | 2015-11-01 |
| publisher | Suleyman Demirel University |
| record_format | Article |
| series | Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi |
| spelling | doaj.art-a9f5efdff8dd4d09abf46a8e5c8cab3c2023-02-15T16:17:01ZengSuleyman Demirel UniversitySüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi1306-75752015-11-0110292961113Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev PolynomialsÖkkeş EGEHakan ÖZTÜRKAhmet BÜLBÜLAbstract: The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport equation to determine the diffusion coefficients of one-speed neutrons for selected values of the scattering parameters. Key words: First kind of Chebyshev polynomials, neutron transport equation, diffusion approximation Birinci Tip Chebyshev Polinomları ile Nötron Transport Denklemine Difüzyon Yaklaşımı Özet: Nötron transport teorisinde açısal akının seri açılımı için I. Tip Chebyshev polinomları kullanıldı. Tek hızlı nötronların difüzyon katsayılarını belirlemek için difüzyon yaklaşımı olarak bilinen ilk mertebe yaklaşımı saçılma parametrelerinin seçilen değerleri için tek boyutlu nötron transport denklemine uygulanmıştır. Anahtar kelimeler: I. tip Chebyshev polinomları, nötron transport denklemi, difüzyon Yaklaşımıhttp://dergipark.gov.tr/sdufeffd/issue/11282/134836?publisher=sdu-1First kind of Chebyshev polynomials neutron transport equation diffusion approximationI. tip Chebyshev polinomları nötron transport denklemi difüzyon Yaklaşımı |
| spellingShingle | Ökkeş EGE Hakan ÖZTÜRK Ahmet BÜLBÜL Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi First kind of Chebyshev polynomials neutron transport equation diffusion approximation I. tip Chebyshev polinomları nötron transport denklemi difüzyon Yaklaşımı |
| title | Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials |
| title_full | Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials |
| title_fullStr | Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials |
| title_full_unstemmed | Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials |
| title_short | Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials |
| title_sort | diffusion approximation to neutron transport equation with first kind of chebyshev polynomials |
| topic | First kind of Chebyshev polynomials neutron transport equation diffusion approximation I. tip Chebyshev polinomları nötron transport denklemi difüzyon Yaklaşımı |
| url | http://dergipark.gov.tr/sdufeffd/issue/11282/134836?publisher=sdu-1 |
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