Volume 11, Issue 2
A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface

Suruchi Singh, Swarn Singh & Zhilin Li

Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 321-337.

Published online: 2018-11

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  • Abstract

In this paper, a high order compact difference scheme has been developed for second order wave equations with piecewise discontinuous coefficients. The idea presented here can be used to solve a wide variety of hyperbolic models for nonhomogenous inner structures. Thermal wave model of bio-heat transfer in a multilayered skin structure with different thermal and physical properties is investigated subject to constant, linear, exponential and sinusoidal heating. The success of the new procedure is demonstrated by solving test problem as well as by application to the triple layered skin structure.

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@Article{NMTMA-11-321, author = {}, title = {A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface }, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2018}, volume = {11}, number = {2}, pages = {321--337}, abstract = {

In this paper, a high order compact difference scheme has been developed for second order wave equations with piecewise discontinuous coefficients. The idea presented here can be used to solve a wide variety of hyperbolic models for nonhomogenous inner structures. Thermal wave model of bio-heat transfer in a multilayered skin structure with different thermal and physical properties is investigated subject to constant, linear, exponential and sinusoidal heating. The success of the new procedure is demonstrated by solving test problem as well as by application to the triple layered skin structure.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2017-0048}, url = {http://global-sci.org/intro/article_detail/nmtma/12432.html} }
TY - JOUR T1 - A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 321 EP - 337 PY - 2018 DA - 2018/11 SN - 11 DO - http://doi.org/10.4208/nmtma.OA-2017-0048 UR - https://global-sci.org/intro/article_detail/nmtma/12432.html KW - AB -

In this paper, a high order compact difference scheme has been developed for second order wave equations with piecewise discontinuous coefficients. The idea presented here can be used to solve a wide variety of hyperbolic models for nonhomogenous inner structures. Thermal wave model of bio-heat transfer in a multilayered skin structure with different thermal and physical properties is investigated subject to constant, linear, exponential and sinusoidal heating. The success of the new procedure is demonstrated by solving test problem as well as by application to the triple layered skin structure.

Suruchi Singh, Swarn Singh & Zhilin Li. (2020). A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface . Numerical Mathematics: Theory, Methods and Applications. 11 (2). 321-337. doi:10.4208/nmtma.OA-2017-0048
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