5e576c5b-f0c1-4944-956b-439a1912ae4e20210319093824548naunmdt@crossref.orgMDT DepositInternational Journal of Applied Mathematics and Informatics2074-127810.46300/91014http://www.naun.org/cms.action?id=3064319202131920211510.46300/91014.2021.15https://www.naun.org/cms.action?id=23306Simulation model of Heat Transfer through the WallJanaMižákováDepartment of Mathematics, Informatics and Cybernetics Faculty of Manufacturing Technologies Technical University of Košice with a seat in Prešov Presov, Slovak RepublicStellaHrehováDepartment of Mathematics, Informatics and Cybernetics Faculty of Manufacturing Technologies Technical University of Košice with a seat in Prešov Presov, Slovak RepublicAlexanderHošovskýDepartment of Mathematics, Informatics and Cybernetics Faculty of Manufacturing Technologies Technical University of Košice with a seat in Prešov Presov, Slovak RepublicThis paper deals with describing of mathematical model of heat transfer through the wall and simulations, which were obtained by MATLAB Simulink. Model is a part of complex model of heating system. During our model design research we solve partial differential equation system and problem with inverse Laplace transform occurs, because of function of real argument from image function of complex argument is not define.3192021319202116https://www.naun.org/main/UPress/ami/2021/a022013-001(2021).pdf10.46300/91014.2021.15.1https://www.naun.org/main/UPress/ami/2021/a022013-001(2021).pdfF. Hruška, "Regulation and control of environment parameters according to thermal comfort". In: Zborník referátov z medzinárodnej konferencie, I. STU, Bratislava, 2001, s. 63-67. 10.14502/tekstilec2018.61.179-191J. Piteľ., Mižák, J. "Optimization of heat supply control based on the equithermic regulation", In: Principia Cybernetica 2010, Liberec, Czech republic, 8.–9. september 2010. [CD-ROM]. Technical university of Liberec, 2010. s. 66-70. U. Čermák, V. Paterka and J. Závorka, "Dynamic of controlled system in thermal energy and chemistry", Academia, Praha, 1968. 584 s. D. Mamrilla, J. Seman, A. Vagaská, "On the solutions of the first order nonlinear differential equations", in: Journal of the Applied Mathematics, Statistics and Informatics (JAMSI), Vol. 3, no. 1, 2007, pp. 63-70. J. Piteľ, "Mathematical model of heat transfer through the wall for simulation of heat control process". Acta Metallurgica Slovaca, 2007, roč. 13, no. 3/2007. pp. 296 - 300. J. Piteľ, "Model of the Heated Space for Using in Heating Process Control". In: Sbornik trudov XIX Meždunarodnaja naučnaja konferencija „Matematičiskije metody v technike i technologijach“, Voronež, Russian, 2006. p. 141-143. A. Vagaská, "Mathematical modeling of technological processes using methods of multidimensional statistics", in: Moderní matematické metody v inženýrství. VŠB - TU, Ostrava, 2008, pp. 197-201. ISBN 9788024818719 A. Vagaská, "Statistical quality optimalization of milled surface", in: Process Control 2008. University of Pardubice, Pardubice, 2008, pp. C154a-1-C154a-5, ISBN 9788073950774 S. Hrehová, A. Vagaská, "Application of fuzzy principles in evaluating quality of manufacturing", in: WSEAS Transaction on Power Systems, Vol. 7, no. 2, 2012, p. 50-59. ISSN 1790-5060 10.3182/20120902-4-fr-2032.00038C. Oswald, V. Plaček, B. Šulc, A. Hošovský, "Transfer Issues of Control Optimizing Combustion from Small-scale to Medium-scale Biomassfired Boilers". In: PPPS 2012 : 8th Power Plants & Power Systems Control, Toulouse, pp. 1-5.