A Fibonacci wavelet method for solving dual-phase-lag heat transfer model in multi-layer skin tissue during hyperthermia treatment

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorIrfan, Mohd.
dc.contributor.authorShah, Firdous A.
dc.date.accessioned2022-11-16T23:51:39Z
dc.date.available2022-11-16T23:51:39Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn this article, a novel wavelet collocation method based on Fibonacci wavelets is proposed to solve the dual-phase-lag (DPL) bioheat transfer model in multilayer skin tissues during hyperthermia treatment. Firstly, the Fibonacci polynomials and the corresponding wavelets along with their fundamental properties are briefly studied. Secondly, the operational matrices of integration for the Fibonacci wavelets are built by following the celebrated approach of Chen and Haiso. Thirdly, the proposed method is utilized to reduce the underlying DPL model into a system of algebraic equations, which has been solved using the Newton iteration method. Towards the culmination, the effect of different parameters including the tissue-wall temperature, time-lag due to heat flux, time-lag due to temperature gradient, blood perfusion, metabolic heat generation, heat loss due to diffusion of water, and boundary conditions of various kinds on multilayer skin tissues during hyperthermia treatment are briefly presented and all the outcomes are portrayed graphically.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Irfan, M., & Shah, F. A. (2021). “A Fibonacci wavelet method for solving dual-phase-lag heat transfer model in multi-layer skin tissue during hyperthermia treatment.” Energies, 14(8), 2254. https://doi.org/10.3390/en14082254en_US
dc.identifier.urihttps://doi.org/10.3390/en14082254
dc.identifier.urihttp://hdl.handle.net/1828/14474
dc.language.isoenen_US
dc.publisherEnergiesen_US
dc.subjectFibonacci wavelets
dc.subjectFibonacci polynomials
dc.subjectdual-phase-lag model
dc.subjectmultilayer skin tissue
dc.subjecttumor
dc.subjectbioheat transfer
dc.subjecthyperthermia treatment
dc.subjectinitial and boundary conditions
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA Fibonacci wavelet method for solving dual-phase-lag heat transfer model in multi-layer skin tissue during hyperthermia treatmenten_US
dc.typeArticleen_US

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