![]() You can use the root function to extract the roots of a polynomial one at a time, but it is often more convenient to find all the roots at once, using the function polyroots. (Note that this function only solves one equation with one unknown.) You can call the root function with either two or four arguments, depending on whether you wish to provide a guess value for the root above the function call, or bracket values for the root within the function call.įor functions with complex roots, you can also use complex guess values to find a complex root of the function. The first worksheet provides examples of how to find roots algorithmically by using Mathcad’s root function. In today’s post I’ll discuss three worksheets that demonstrate some of Mathcad’s built-in functions dedicated to root finding. Do you know how Mathcad can help you find the roots you’re looking for? For example, to minimize a function, you have to find the root of its derivative. Guili Liu is an Associate Professor in College of Automobile and Transportation, Qingdao Technological University.Most of the calculations we deal with every day require us to find the roots of a function. Her research interests include: optimisation and control in traffic engineering, computation and simulation in engineering field. ![]() She received her BSc in Traffic Construction Engineering from Harbin Institute of Technology and MSc in Urban Infrastructure Engineering and Management from International Institute for Infrastructural, Hydraulic and Environmental Engineering (IHE, the Netherlands). Biographical notes: Lixin Liu is an Associate Professor in College of Automobile and Transportation, Qingdao Technological University. Computational Science and Engineering, Vol. (2016) `Applications of the Peng-Robinson equation of state using Mathcad', Int. Reference to this paper should be made as follows: Liu, L., Liu, G. Keywords: vapour-liquid equilibrium VLE Peng-Robinson equation of state PR EOS Mathcad. An example of an adiabatic flash computation is also presented. In addition, high-pressure chemical-equilibrium calculations are performed. We present several applications of this equation of state with the aid of Mathcad, including estimation of pure component properties, computation of vapour-liquid equilibrium (VLE) and isobaric diagram for a binary mixture. The Peng-Robinson equation of state (PR EOS) can accurately describe both the liquid and vapour phase. International Journal of Computational Science and Engineering Inderscience Publishers Guili Liu is an Associate Professor in College of Automobile and Transportation, Qingdao Technological University. ![]() Applications of the Peng-Robinson equation of state using Mathcad Applications of the Peng-Robinson equation of state using Mathcad
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