Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM)
Adeyeye O. Aldalbahi A. Omar Z. Raza J. Rahaman M. Issakhov A. Rahimi-Gorji M. Nadeem S.
May 2021Springer Science and Business Media Deutschland GmbH
Microsystem Technologies
2021#27Issue 52063 - 2074 pp.
Block methods in general have proven to be an efficient approach for the numerical approximation of ordinary differential equations as a whole. Therefore, it is important to investigate the suitability of adopting block methods with the presence of higher derivatives in solving heat transfer models. The presence of the higher derivative in the method gives room for improved accuracy when solving these models. The block method adopted in this article is the two step third derivative block method which is developed using a novel linear block approach. The resultant schemes for the block method were combined as simultaneous integrators for the solution of the differential equation model. The method is seen to adequately provide solutions to the problem of annular fins with hyperbolic profile under the influence of various physical parameters.
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School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, 06010, Kedah, Malaysia
Department of Chemistry, College of Science, King Saud University, Riyadh, 11451, Saudi Arabia
Department of Mathematics and Statistics, Institute of Southern Punjab (ISP), Multan, Pakistan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Faculty of Medicine and Health Sciences, Ghent University, Ghent, 9000, Belgium
Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
School of Quantitative Sciences
Department of Chemistry
Department of Mathematics and Statistics
Al-Farabi Kazakh National University
Faculty of Medicine and Health Sciences
Mathematics and its Applications in Life Sciences Research Group
Faculty of Mathematics and Statistics
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