Exact solution for the singlet density distributions and second-order correlations of normal-mode coordinates for hard rods in one dimension

1999 ◽  
Vol 110 (23) ◽  
pp. 11390-11398 ◽  
Author(s):  
C. Daniel Barnes ◽  
David A. Kofke
Keyword(s):  
Exact Solution ◽  
Normal Mode ◽  
Second Order ◽  
One Dimension ◽  
Density Distributions ◽  
Hard Rods

Exact solution of a deterministic sandpile model in one dimension

1991 ◽  
Vol 67 (12) ◽  
pp. 1479-1481 ◽  
Author(s):  
S.-C. Lee ◽  
N. Y. Liang ◽  
W.-J. Tzeng
Keyword(s):  
Exact Solution ◽  
One Dimension ◽  
Sandpile Model

scholarly journals Constructive solution of coupled second order delay differential equations with variable coefficients

1995 ◽  
Vol 18 (4) ◽  
pp. 689-700
Author(s):  
R. J. Villanueva ◽  
A. Hervas ◽  
M. V. Ferrer
Keyword(s):  
Exact Solution ◽  
Differential Equations ◽  
Bounded Domain ◽  
Delay Differential Equations ◽  
Approximation Error ◽  
Variable Coefficients ◽  
Second Order ◽  
Initial Value ◽  
Method Of Steps ◽  
Delay Differential

In this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constrcted. Then, in a bounded domain, a finite analytic solution with error bounds is provided. Given an admissible errorϵwe give the number of terms to be taken in the infinite series exact solution so that the approximation error be smaller than in the bounded domain.

scholarly journals Exact solution of a class of three-body scattering problems in one dimension

1998 ◽  
Vol 241 (1-2) ◽  
pp. 14-18 ◽  
Author(s):  
Avinash Khare ◽  
Uday P. Sukhatme
Keyword(s):  
Exact Solution ◽  
One Dimension ◽  
Scattering Problems ◽  
Three Body

Dynamics of hard rods in one dimension

1994 ◽  
Vol 74 (3-4) ◽  
pp. 889-901 ◽  
Author(s):  
T. J. Murphy
Keyword(s):  
One Dimension ◽  
Hard Rods

An exact solution of the Lippmann–Schwinger equation in one dimension

2003 ◽  
Vol 71 (1) ◽  
pp. 64-71 ◽  
Author(s):  
T. R. Yang ◽  
M. M. Dvoynenko ◽  
A. V. Goncharenko ◽  
V. Z. Lozovski
Keyword(s):  
Exact Solution ◽  
One Dimension
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