An improved algorithm for calculation of the natural gas compressibility factor via the Hall‐Yarborough equation of state

Abstract

Adomian decomposition method (ADM) is employed to devise a novel algorithm for calculating the compressibility factors of natural gases through this reliable equation of state. A convergence accelerator technique, namely the efficient Shanks transform, is also exploited to further improve our scheme in terms of computational speed. Unlike most of the previous numerical solution strategies, our algorithm does not require an initial guess as the starting point and is computationally efficient. The proposed algorithm is found to be superior over the common Newton-Raphson algorithm, where we have also demonstrated that the latter can easily lead to grossly erroneous solutions. For the sake of illustration, a number of real-world case study problems are solved by our algorithm and relevant comparisons are provided.

A new parametric algorithm for isothermal flash calculations by the Adomian decomposition of Michaelis–Menten type nonlinearities

“…For more details on the theory and application of the ADM, the reader is advised to consult references [19][20][21][22][23][24][25][26][27][28][29][30][31][32], and particularly [33][34][35][36][37][38][39] for applications in chemical engineering.…”

“…It is remarkable that our algorithm, unlike previous numerical solvers, is devoid of the need for an initial guess that can be problematic in certain cases as discussed in the literature [36].…”

How do you write and present research well? 7—Cite to get cited

“…Two papers reference only 6 articles . Two other papers with 72 and 73 references were cited the most …”

Feedback control strategies for a cerium‐catalyzed Belousov–Zhabotinsky chemical reaction system

“…[30,31] Further discussion on the Adomian decomposition methodology and its modifications is beyond the scope of this paper; however the interested reader is recommended to consult the relevant literature. [32][33][34][35][36][37][38][39][40][41][42][43][44][45]…”