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Application of Implicit One-step Third Derivative Method for the Solution of Temperature Gradient in a Fish Chunk Placed in a Smoking Kiln

Olumurewa O. K.
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Olumurewa O. K.: Department of Mathematical Sciences, Federal University of Technology, Akure. Ondo State.

International Journal of Research and Innovation in Applied Science, 2024, vol. 9, issue 1, 141-147

Abstract: This paper described numerical solution of temperature gradient in a fish chunk placed in a smoking kiln, using an implicit one-step third-derivative numerical method which was developed by introducing more derivative properties into the conventional linear multistep method. The heat transferred from the furnace generated by the biomass through the metal plate to the drying chamber by conduction, to the fish chunk in the smoking kiln was evaluated by the Fourier first heat flow equation. Comparison of the numerical result with the exact solution showed that the implicit one–step third- derivative method was accurate and thus recommended for solving Engineering problems resolving in differential equations.

Date: 2024
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