Spelling suggestions: "subject:"homotopy perturbation method"" "subject:"omotopy perturbation method""
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Application of approximate analytical technique using the homotopy perturbation method to study the inclination effect on the thermal behavior of porous fin heat sinkOguntala, George A., Sobamowo, G., Ahmed, Y., Abd-Alhameed, Raed 15 October 2018 (has links)
Yes / This article presents the homotopy perturbation method (HPM) employed to investigate the
effects of inclination on the thermal behavior of a porous fin heat sink. The study aims to review the
thermal characterization of heat sink with the inclined porous fin of rectangular geometry. The study
establishes that heat sink of an inclined porous fin shows a higher thermal performance compared
to a heat sink of equal dimension with a vertical porous fin. In addition, the study also shows that
the performance of inclined or tilted fin increases with decrease in length–thickness aspect ratio.
The study further reveals that increase in the internal heat generation variable decreases the fin
temperature gradient, which invariably decreases the heat transfer of the fin. The obtained results
using HPM highlights the accuracy of the present method for the analysis of nonlinear heat transfer
problems, as it agrees well with the established results of Runge–Kutta. / Supported in part by the Tertiary Education Trust Fund of Federal Government of Nigeria, and the European Union’s Horizon 2020 research and innovation programme under grant agreement H2020-MSCA-ITN-2016SECRET-722424.
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The natural transform decomposition method for solving fractional differential equationsNcube, Mahluli Naisbitt 09 1900 (has links)
In this dissertation, we use the Natural transform decomposition method to obtain approximate
analytical solution of fractional differential equations. This technique is a combination
of decomposition methods and natural transform method. We use the Adomian decomposition,
the homotopy perturbation and the Daftardar-Jafari methods as our decomposition
methods. The fractional derivatives are considered in the Caputo and Caputo-
Fabrizio sense. / Mathematical Sciences / M. Sc. (Applied Mathematics)
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