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Comparison was made between the methods and agreement was close; considering the fact that the proposed solution in comparison with the others provided a remarkable accuracy in dealing with nonlinear problems associated with mining and mineral processing industries. The maximum error of HPM in relation to the analytical solution was 0.02. The numerical finite volume method incorporating a computational fluid dynamics model termed PHOENICS provided rational and accurate results; describing that many chemical and biological processes extremely affect the transportation mechanism of the aqueous compounds in a heap structure and subsequently on the process efficiency. Besides, all solution methods presented to simulate heap leaching process provided valuable information related to the time dependence concentrations of dissolved compounds. The results obtained from this study can be effectively applied to manage the heap leaching costs to make the process feasible.<\/jats:p>","DOI":"10.1142\/s1793962317500180","type":"journal-article","created":{"date-parts":[[2016,11,10]],"date-time":"2016-11-10T01:05:53Z","timestamp":1478739953000},"page":"1750018","source":"Crossref","is-referenced-by-count":6,"title":["A mathematical model to simulate Heap (bio)-leaching process: An exact conceptual model, Homotopy theory and comparative insights with conventional methods"],"prefix":"10.1142","volume":"08","author":[{"given":"M.","family":"Yaghobi Moghaddam","sequence":"first","affiliation":[{"name":"School of Mining, College of Engineering, University of Tehran, P. O. Box 14395-515, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S. Z.","family":"Shafaei Tonkaboni","sequence":"additional","affiliation":[{"name":"School of Mining, College of Engineering, University of Tehran, P. O. 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