The residual power series method for the one-dimensional unsteady flow of a van der Waals gas

被引：25
|
作者：
Az-Zo'bi, Emad A. [1 ]
Yildirim, Ahmet [2 ]
AlZoubi, Wael A. [3 ]
机构：
[1] Mutah Univ, Dept Math & Stat, POB 7, Mutah, Al Karak, Jordan
[2] Ege Univ, Sci Fac, Dept Math, TR-35100 Bornova, Turkey
[3] Balqa Appl Univ, Ajloun Univ Coll, Comp Sci Dept, Salt, Jordan
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 517卷
关键词：
Residual power series method; Conservation laws; Mixed hyperbolic-elliptic type; van der Waals equations; p-system; Error analysis; Stability; ANALYTIC SOLUTIONS; SYSTEMS; CONVERGENCE; EQUATIONS;
D O I：
10.1016/j.physa.2018.11.030
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A residual power series scheme is developed for mixed-type p-system of conservation laws. The residual power series method (RPSM) does not require discretization, reduces the system to an explicit system of algebraic equations and consequently of massive computations. Convergence hypotheses are discussed and error bounds of exponential rates are derived. The scheme is numerically tested to several cases of the van der Waals equations which arise in fluid dynamics. Stability is obtained graphically while transition through regions. The reported results reveal the reliability, efficiency and economical implementation of the proposed algorithm for handling nonlinear partial differential equations in applied mathematics. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：188 / 196
页数：9
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