• Title/Summary/Keyword: Non cubic

Search Result 169, Processing Time 0.024 seconds

A comparison of predicted VLE of LNG mixtures containing $H_2S$ by use of Cubic and Noncubic EOS ($H_2S$를 포함하는 LNG 혼합물에 대한 Cubic과 Noncubic 상태방정식의 예측 비교)

  • Choi Eunjoo;Lee Taejong
    • Journal of the Korean Institute of Gas
    • /
    • v.4 no.4 s.12
    • /
    • pp.1-5
    • /
    • 2000
  • Cubic and non-cubic equations of state are used to calculate the vapor-liquid equilibrium(VLE) compositions for liquified natural gas(LNG) containing hydrogen sulfide. Modified Benedict-Web-Robin EOS is chosen as a non-cubic equation of state while Peng-Robinson, Soave-Redlich-Kwong EOS are used for a cubic EOS. Modified Benedict-Web-Robin EOS. showed better predictability than the cubic EOS used for the systems $H_2S/CH_4,\;H_2S/iC_4H_{10},\;H_2S/N_2$. specially for liquid composition.

  • PDF

Hyers-Ulam Stability of Cubic Mappings in Non-Archimedean Normed Spaces

  • Mirmostafaee, Alireza Kamel
    • Kyungpook Mathematical Journal
    • /
    • v.50 no.2
    • /
    • pp.315-327
    • /
    • 2010
  • We give a xed point approach to the generalized Hyers-Ulam stability of the cubic equation f(2x + y) + f(2x - y) = 2f(x + y) + 2f(x - y) + 12f(x) in non-Archimedean normed spaces. We will give an example to show that some known results in the stability of cubic functional equations in real normed spaces fail in non-Archimedean normed spaces. Finally, some applications of our results in non-Archimedean normed spaces over p-adic numbers will be exhibited.

Analysis for computing heat conduction and fluid problems using cubic B-spline function (3차 B-spline 함수를 이용한 열전도 및 유체문제의 해석)

  • Kim, Eun-Pil
    • Journal of computational fluids engineering
    • /
    • v.3 no.2
    • /
    • pp.1-8
    • /
    • 1998
  • We make use of cubic B-spline interpolation function in two cases: heat conduction and fluid flow problems. Cubic B-spline test function is employed because it is superior to approximation of linear and non-linear problems. We investigated the accuracy of the numerical formulation and focused on the position of the breakpoints within the computational domain. When the domain is divided by partitions of equal space, the results show poor accuracy. For the case of a heat conduction problem this partition can not reflect the temperature gradient which is rapidly changed near the wall. To correct the problem, we have more grid points near the wall or the region which has a rapid change of variables. When we applied the unequally spaced breakpoints, the results show high accuracy. Based on the comparison of the linear problem, we extended to the highly non-linear fluid flow problems.

  • PDF

GENERALIZED HYERS-ULAM STABILITY OF CUBIC TYPE FUNCTIONAL EQUATIONS IN NORMED SPACES

  • KIM, GWANG HUI;SHIN, HWAN-YONG
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.28 no.3
    • /
    • pp.397-408
    • /
    • 2015
  • In this paper, we solve the Hyers-Ulam stability problem for the following cubic type functional equation $$f(rx+sy)+f(rx-sy)=rs^2f(x+y)+rs^2f(x-y)+2r(r^2-s^2)f(x)$$in quasi-Banach space and non-Archimedean space, where $r={\neq}{\pm}1,0$ and s are real numbers.

Spectrums of Chua's Oscillator Circuit with a Cubic Nonlinear Resistor (Cubic 비선형 저항에 의한 카오스 발진회로의 스펙트럼)

  • 김남호
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.22 no.6
    • /
    • pp.908-919
    • /
    • 1998
  • This paper describes implementation and simulation of Chua's oscillator circuits with a cubic non-linear resistor. The two-terminal nonlinear resistor NR consists of one Op Amp two multipliers and five resistors. The Chua's oscillator circuit is implemented with analog electronic devices. Period-1 limit cycle period-2 limit cycle period-4 limit cycle and spiral attractor double-scroll attractor and 2-2 window are observed experimentally from the laboratory model and simulated by computer for the presented model. Comparing the result of experiments and simulations the spectrums are satisfied.

  • PDF

LINEAR ISOMORPHISMS OF NON-DEGENERATE INTEGRAL TERNARY CUBIC FORMS

  • Lee, Inhwan;Oh, Byeong-Kweon
    • Bulletin of the Korean Mathematical Society
    • /
    • v.53 no.6
    • /
    • pp.1697-1705
    • /
    • 2016
  • In this article, we consider the problem on finding non-degenerate nary m-ic forms having an $n{\times}n$ matrix A as a linear isomorphism. We show that it is equivalent to solve a linear diophantine equation. In particular, we find all integral ternary cubic forms having A as a linear isomorphism, for any $A{\in}GL_3({\mathbb{Z}})$. We also give a family of non-degenerate cubic forms F such that F(x) = N always has infinitely many integer solutions if exists.

GENERAL SOLUTION AND ULAM STABILITY OF GENERALIZED CQ FUNCTIONAL EQUATION

  • Govindan, Vediyappan;Lee, Jung Rye;Pinelas, Sandra;Muniyappan, P.
    • Korean Journal of Mathematics
    • /
    • v.30 no.2
    • /
    • pp.403-412
    • /
    • 2022
  • In this paper, we introduce the following cubic-quartic functional equation of the form $$f(x+4y)+f(x-4y)=16[f(x+y)+f(x-y)]{\pm}30f(-x)+\frac{5}{2}[f(4y)-64f(y)]$$. Further, we investigate the general solution and the Ulam stability for the above functional equation in non-Archimedean spaces by using the direct method.