COMPUTATIONAL SOLUTION OF TEMPERATURE DISTRIBUTION IN A THIN ROD OVER A GIVEN INTERVAL I={x├|0

Authors

  • Falade Kazeen Iyanda
  • Ismail Baoku
    Federal University Dutsin-Ma, Katsina State
  • Gwanda Yusuf Ibrahim

Keywords:

: Homotopy Perturbation Method, New Iterative Method, Temperature Distribution, Diffusivity Constant, Computational Algorithms

Abstract

In this paper, two analytical–numerical algorithms are formulated based on homotopy perturbation method and new iterative method to obtain numerical solution for temperature distribution in a thin rod over a given finite interval. The effects of different parameters such as the coefficient  which accounts for the heat loss and the diffusivity constant  are examined when initial temperature distribution  (trigonometry and algebraic functions) are considered. The error in both algorithms approaches to zero as the computational length  increases. The proposed algorithms have been demonstrated to be quite flexible, robust and accurate. Thus, the algorithms are established as good numerical tools to solve several problems in applied mathematics and other related field of sciences

Dimensions

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Published

17-08-2021

How to Cite

COMPUTATIONAL SOLUTION OF TEMPERATURE DISTRIBUTION IN A THIN ROD OVER A GIVEN INTERVAL I={x├|0. (2021). FUDMA JOURNAL OF SCIENCES, 5(1), 608-618. https://doi.org/10.33003/fjs-2021-0501-693

Issue

Vol. 5 No. 1 (2021): FUDMA Journal of Sciences - Vol. 5 No. 1

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

COMPUTATIONAL SOLUTION OF TEMPERATURE DISTRIBUTION IN A THIN ROD OVER A GIVEN INTERVAL I={x├|0. (2021). FUDMA JOURNAL OF SCIENCES, 5(1), 608-618. https://doi.org/10.33003/fjs-2021-0501-693

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