Open AccessRemarks on Analytical Solutions of a Non-Homogeneous Gas Dynamic Model via Successive Approximation Method
Author(s) -
S.O. Edeki,
F. J. Adeyeye,
G. O. Akinlabi,
V.O. Udjor
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2199/1/012030
Subject(s) - linearization , discretization , homogeneous , series (stratigraphy) , transformation (genetics) , mathematics , current (fluid) , mathematical optimization , nonlinear system , mathematical analysis , physics , chemistry , thermodynamics , paleontology , biochemistry , quantum mechanics , combinatorics , gene , biology
The Successive Approximation Method (SAM) is introduced in this research to solve the non-homogeneous Gas Dynamic Equation (GDE). This GDE’s analytical solution is expressed via the SAM, in series form, with readily computed components. The proposed technique is used directly, without transformation, discretization, linearization, or any restrictive assumptions.