Year: 2018
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 2 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2017-0048
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 2 : pp. 321–337
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
-
Virtual element methods for weakly damped wave equations on polygonal meshes
Pradhan, Gouranga | Dutta, Jogen | Deka, BhupenComputational and Applied Mathematics, Vol. 42 (2023), Iss. 3
https://doi.org/10.1007/s40314-023-02252-7 [Citations: 0] -
Finite element method for hyperbolic heat conduction model with discontinuous coefficients in one dimension
AHMED, TAZUDDIN | DUTTA, JOGENProceedings - Mathematical Sciences, Vol. 132 (2022), Iss. 1
https://doi.org/10.1007/s12044-021-00646-3 [Citations: 0] -
Convergence of finite element methods for hyperbolic heat conduction model with an interface
Deka, Bhupen | Dutta, JogenComputers & Mathematics with Applications, Vol. 79 (2020), Iss. 11 P.3139
https://doi.org/10.1016/j.camwa.2020.01.013 [Citations: 8] -
Finite element methods for non-fourier thermal wave model of bio heat transfer with an interface
Deka, Bhupen | Dutta, JogenJournal of Applied Mathematics and Computing, Vol. 62 (2020), Iss. 1-2 P.701
https://doi.org/10.1007/s12190-019-01304-8 [Citations: 13]