Newton’s Method Cubic Equation of State C++ Source Code for Iterative Volume Computation

  IJRES-book-cover  International Journal of Recent Engineering Science (IJRES)          
© 2021 by IJRES Journal
Volume-8 Issue-3
Year of Publication : 2021
Authors : Abdulhalim Musa Abubakar, Ahmad Abubakar Mustapha
DOI : 10.14445/23497157/IJRES-V8I3P103

How to Cite?

Abdulhalim Musa Abubakar, Ahmad Abubakar Mustapha, "Newton’s Method Cubic Equation of State C++ Source Code for Iterative Volume Computation," International Journal of Recent Engineering Science, vol. 8, no. 3, pp. 12-22, 2023. Crossref,

This write-up enumerates the basic cubic equations of state used for pressure, volume and temperature determination for pure substances. It, however, focuses on developing a Dev C++ program for molar volume computation. Since molar volume in all cubic equations of state appears unsolvable due to their nonlinear nature, numerical solution methods, one of which is the Newton-Raphson method, can be utilized to estimate the root of such polynomial equations. The 257 lines of code running from Figure 1 to Figure 6, if executed, will return the molar volume to some certain iteration over a tolerance error specified. The program is a 4-in-1 calculator. The user is capable of working with a desired equation of state at a time. Users should note that the source code converges for either large or small errors specified.

C++ program, Cubic equations of state, Equation of state, Newton's method, Iteration.

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