scholarly journals Nonstationary flow of roiling liquid

1984 ◽  
Vol 6 (4) ◽  
pp. 12-20
Author(s):  
Duong Ngoc Hai
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Phase Boundary ◽  
Heat And Mass Transfer ◽  
Numerical Results ◽  
Linear Differential Equations ◽  
Nonstationary Flow ◽  
One Dimensional ◽  
Boiling Liquid ◽  
Linear Differential

Steady one-dimensional nonstationary flow of boiling liquid from finite or infinit pipe in a consideration of the effect of the phase-boundary heat and mass transfer. The Received system of quasi-linear differential equations has been decided by the modificati on of Lax - wendroff method in IBM. Numerical results are compared as xperimental data.

The Approximate Calculation of Eigenvalues for Certain Second-Order Linear Differential Equations

1961 ◽  
Vol 65 (605) ◽  
pp. 360-360 ◽  
Author(s):  
W. J. Goodey
Keyword(s):  
Approximate Solution ◽  
Differential Equations ◽  
Simple Formula ◽  
Approximate Calculation ◽  
Technical Note ◽  
Second Order ◽  
Numerical Results ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linear Differential

In a recent technical note, Squire discussed the approximate solution of certain second-order linear differential equations by the method attributed variously to Riccati, Madelung, Wentzel, Kramers and Brillouin (the W.K.B. method), and others. The problem of eigenvalues, frequently met with in this type of equation, does not, however, appear to have received much attention by this method, and in this note a simple formula is developed which appears to give excellent numerical results in many cases.

scholarly journals Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality

2010 ◽  
Vol 2010 ◽  
pp. 1-9
Author(s):  
Norio Yoshida
Keyword(s):  
Differential Equations ◽  
Elliptic Equations ◽  
Type Inequality ◽  
Linear Differential Equations ◽  
Forced Oscillations ◽  
One Dimensional ◽  
Forcing Term ◽  
Linear Differential

Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for ordinary half-linear differential equations.

scholarly journals New Symmetries of Black-Scholes Equation

2021 ◽  
Vol 20 ◽  
pp. 76-87
Author(s):  
Tshidiso Masebe
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Lie Point Symmetries ◽  
Invariant Solutions ◽  
One Dimensional ◽  
Black Scholes ◽  
Linear Differential ◽  
The One ◽  
Ordinary Linear Differential Equations

Lie Point symmetries and Euler’s formula for solving second order ordinary linear differential equations are used to determine symmetries for the one-dimensional Black- Scholes equation. One symmetry is utilized to determine an invariant solutions

scholarly journals MHD Heat and Mass Transfer Free Convection Flow along a Stretching Sheet with Suction with Buoyancy opposes the Flow

1970 ◽  
Vol 30 ◽  
pp. 76-88
Author(s):  
M Mohebujjaman ◽  
MA Samad
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Free Convection ◽  
Heat And Mass Transfer ◽  
Concentration Field ◽  
Integration Scheme ◽  
Convection Flow ◽  
Linear Ordinary Differential Equations ◽  
Non Linear ◽  
Linear Differential

An analysis is carried out to study the flow, heat and mass transfer free convection characteristics in an electrically conducting fluid near an isothermal linearly stretching permeable vertical sheet when buoyancy force opposes the flow. The equations governing the flow, temperature and concentration field are reduced to a system of coupled non-linear ordinary differential equations. These non-linear differential equations are integrated numerically by using Nachtsheim-Swigert [1] shooting iteration technique along with sixth order Runge-Kutta integration scheme. Finally the numerical results are presented through graphs and tables. GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 30 (2010) 76-88  DOI: http://dx.doi.org/10.3329/ganit.v30i0.8505

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