Newton’s Method Cubic Equation of State C++ Source Code for Iterative Volume Computation
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International Journal of Recent Engineering Science (IJRES) |  |
| © 2021 by IJRES Journal | ||
| Volume-8 Issue-3 |
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| Year of Publication : 2021 | ||
| Authors : Abdulhalim Musa Abubakar, Ahmad Abubakar Mustapha |
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| 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, https://doi.org/10.14445/23497157/IJRES-V8I3P103
Abstract
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.
Keywords
C++ program, Cubic equations of state, Equation of state, Newton's method, Iteration.
Reference
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