A Finite Difference Scheme For Second Order Non-linear Oscillator Differential Equations

1994 ◽  
Vol 178 (2) ◽  
pp. 285-287 ◽  
Author(s):  
R.E. Mickens ◽  
K. Oyedeji
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Second Order ◽  
Linear Oscillator ◽  
Non Linear ◽  
Non Linear Oscillator

An Accurate Finite-Difference Scheme on Second Order Partial Differential Equations in 3D

2007 ◽  
Author(s):  
N. Niakas ◽  
V. C. Loukopoulos ◽  
C. Douskos ◽  
Theodore E. Simos ◽  
George Maroulis
Keyword(s):  
Partial Differential Equations ◽  
Finite Difference ◽  
Differential Equations ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Second Order ◽  
Partial Differential

scholarly journals THE EXACT FINITE-DIFFERENCE SCHEME FOR VECTOR BOUNDARY‐VALUE PROBLEMS WITH PIECE‐WISE CONSTANT COEFFICIENTS

1998 ◽  
Vol 3 (1) ◽  
pp. 114-123
Author(s):  
H. Kalis
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Boundary Value ◽  
Parabolic Type ◽  
Second Order ◽  
Mhd Equations ◽  
System Of Differential Equations ◽  
Constant Coefficients

We will consider the exact finite‐difference scheme for solving the system of differential equations of second order with piece‐wise constant coefficients. It is well‐known, that the presence of large parameters at first order derivatives or small parameters at second order derivatives in the system of hydrodynamics and magnetohydrodynamics (MHD) equations (large Reynolds, Hartmann and others numbers) causes additional difficulties for the applications of general classical numerical methods. Thus, important to work out special methods of solution, the so‐called uniform converging computational methods. This gives a basis for the development of special monotone finite vector‐difference schemes with perturbation coefficient of function‐matrix for solving the system of differential equations. Special finite‐difference approximations are constructed for a steady‐state boundary‐value problem, systems of parabolic type partial differential equations, a system of two MHD equations, 2‐D flows and MHD‐flows equations in curvilinear orthogonal coordinates.

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