Heat Conduction Toolbox

The Heat Conduction Toolbox for Matlab provides a set of functions for computing of 1-dimensional heat conduction by analytical method for bounded interval and numerical methods (explicit, implicit, Crank-Nicolson) for homogenous material and numerical methods (explicit, implicit, Crank-Nicolson) for non-homogenous material. All functions are described by Fourier’s heat conduction equation. Heat transfer by conduction is solved for Dirichlet and Neumann boundary condition. The functions are tested via HC_test_h.m (homogenous material) and HC_test_nh.m (non-homogenous material).

References in zbMATH (referenced in 14 articles , 1 standard article )

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  1. Kuttler, Ch.; Maslovskaya, A.: Hybrid stochastic fractional-based approach to modeling bacterial quorum sensing (2021)
  2. Liu, Jianjun; Zhai, Rui; Liu, Yuhan; Li, Wenliang; Wang, Bingzhe; Huang, Liyuan: A quasi fractional order gradient descent method with adaptive stepsize and its application in system identification (2021)
  3. Sidhardh, Sai; Patnaik, Sansit; Semperlotti, Fabio: Thermodynamics of fractional-order nonlocal continua and its application to the thermoelastic response of beams (2021)
  4. Vinothkumar, C.; Deiveegan, A.; Nieto, J. J.; Prakash, P.: Similarity solutions of fractional parabolic boundary value problems with uncertainty (2021)
  5. Vellasco-Gomes, Arianne; de Figueiredo Camargo, Rubens; Bruno-Alfonso, Alexys: Energy bands and Wannier functions of the fractional Kronig-Penney model (2020)
  6. Sowa, Marcin: Solutions of circuits with fractional, nonlinear elements by means of a SubIval solver (2019)
  7. Sierociuk, Dominik; Macias, Michal; Malesza, Wiktor: Analog realization of fractional variable-type and -order iterative operator (2018)
  8. Sowa, Marcin: Application of subival in solving initial value problems with fractional derivatives (2018)
  9. Chen, Yuquan; Gao, Qing; Wei, Yiheng; Wang, Yong: Study on fractional order gradient methods (2017)
  10. Kukla, Stanisław; Siedlecka, Urszula: Fractional heat conduction in multilayer spherical bodies (2016)
  11. Nagata, Munehiro; Hada, Masatsugu; Iwasaki, Masashi; Nakamura, Yoshimasa: Eigenvalue clustering of coefficient matrices in the iterative stride reductions for linear systems (2016)
  12. Nyamoradi, Nemat; Rodríguez-López, Rosana: On boundary value problems for impulsive fractional differential equations (2015)
  13. Žecová, Monika; Terpák, Ján: Heat conduction modeling by using fractional-order derivatives (2015)
  14. Žecová, Monika; Terpák, Ján: Fractional heat conduction models and thermal diffusivity determination (2015)