Mathematical Modeling for Prediction of Heating and Air-Conditioning Energies of Multistory Buildings in Duhok City

  • Neven E. Zaya College of Mathematics, Aksaray University Aksaray-Turkey
  • Lokman H. Hassan Technical College of Administration, Duhok Polytechnic University Duhok, Kurdistan Region - Iraq
  • Halis Bilgil College of Mathematics, Aksaray University Aksaray – Turkey


Present endeavor is devoted to estimate the air-conditioning and heating energies or loads of modern buildings in Duhok City, Iraq using new mathematical models. Many parameters have been considered in current modeling, namely, area of building, number of storeys and types of the common materials of the building walls. Regression analysis is performed to formulate new mathematical linear and nonlinear models for the loads. In addition, Fuzzy logic is utilized in the third model employing Sugeno's regulation. The outcomes reveal that the reasonable matching is achieved between the proposed models and mechanical engineering analytical solutions of heating and air-conditioning standards. Consequently, high correlation coefficient as more than 85% is determined between the predicted values of the models and analytical results. The linear model shows perfect matching with the analytical outputs more than the other proposed mathematical formulations.


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How to Cite
ZAYA, Neven E.; HASSAN, Lokman H.; BILGIL, Halis. Mathematical Modeling for Prediction of Heating and Air-Conditioning Energies of Multistory Buildings in Duhok City. Academic Journal of Nawroz University, [S.l.], v. 7, n. 4, p. 153-167, dec. 2018. ISSN 2520-789X. Available at: <>. Date accessed: 20 jan. 2019. doi: