Reliable Iterative Methods for Solving Convective Straight and Radial Fins with Temperature-Dependent Thermal Conductivity Problems

Majeed AL-JAWARY; Al-zahraa ABDUL NABI

doi:https://doi.org/10.35378/gujs.429896

Makale detayları

Reliable Iterative Methods for Solving Convective Straight and Radial Fins with Temperature-Dependent Thermal Conductivity Problems

Yazarlar:

Majeed AL-JAWARY | Al-zahraa ABDUL NABI

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2019 Vol.32 Issue 3, pp.967-989

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000427964

eISSN:

2147-1762

DOI:

https://doi.org/10.35378/gujs.429896

Özet:

 




In our article, three iterative methods are performed to solve the nonlinear differential equations that represent the straight and radial fins affected by thermal conductivity. The iterative methods are the Daftardar-Jafari method namely (DJM), Temimi-Ansari method namely (TAM) and Banach contraction method namely (BCM) to get the approximate solutions. For comparison purposes, the numerical solutions were further achieved by using the fourth Runge-Kutta (RK4) method, Euler method and previous analytical methods that available in the literature. Moreover, the convergence of the proposed methods was discussed and proved. In addition, the maximum error remainder values are also evaluated which indicates that the proposed methods are efficient and reliable. Our computational works have been done by using the computer algebra system MATHEMATICA®10 to evaluate the terms in the iterative processes.

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Makale detayları

Reliable Iterative Methods for Solving Convective Straight and Radial Fins with Temperature-Dependent Thermal Conductivity Problems

Yazarlar: Majeed AL-JAWARY | Al-zahraa ABDUL NABI

Yayıncı: Gazi University

Ana Başlıklar: Uygulamalı fizik

Dergi: Gazi University Journal of Science 2019 Vol.32 Issue 3, pp.967-989

Belge Tipi: Makale

Yayın Tarihi: 8/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000427964

eISSN: 2147-1762

DOI: https://doi.org/10.35378/gujs.429896

Sayı

Yazarlar:

Majeed AL-JAWARY | Al-zahraa ABDUL NABI

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2019 Vol.32 Issue 3, pp.967-989

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000427964

eISSN:

2147-1762

DOI:

https://doi.org/10.35378/gujs.429896