Numerical methods of boundary layer type for stiff systems of differential equations

Computing ◽  
1973 ◽  
Vol 11 (3) ◽  
pp. 221-234 ◽  
Author(s):  
W. L. Miranker
Keyword(s):  
Boundary Layer ◽  
Numerical Methods ◽  
Differential Equations ◽  
Stiff Systems ◽  
Systems Of Differential Equations

scholarly journals An Adaptation of the Scheifele Method to Stiff Systems of Differential Equations

2008 ◽  
Vol 2 (1) ◽  
pp. 86-94
Author(s):  
J. A. Reyes ◽  
F. Garcia-Alonso ◽  
Y. Villacampa
Keyword(s):  
Differential Equations ◽  
Stiff Systems ◽  
Systems Of Differential Equations

Comparison of Numerical Methods for Nano Boundary Layer Flow

2011 ◽  
Vol 66 (8-9) ◽  
pp. 539-542
Author(s):  
Nader Y. Abd Elazem ◽  
Abdelhalim Ebaid
Keyword(s):  
Boundary Layer ◽  
Numerical Methods ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Nonlinear Differential Equations ◽  
The Other ◽  
Chebyshev Collocation ◽  
Collocation Scheme ◽  
Layer Flow

Abstract The nonlinear differential equations describing the nano boundary layer flow is investigated in this paper utilizing Chebyshev collocation scheme. The results obtained in this research are compared with those obtained by the other published works.

scholarly journals Effective numerical methods to model dynamic behavior of springs with torsion

2018 ◽  
Author(s):  
◽  
E. Dilan Fernando
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Numerical Method ◽  
Dynamic Behavior ◽  
Numerical Models ◽  
Software Implementation ◽  
Computer Language ◽  
Newtonian Mechanics ◽  
Systems Of Differential Equations ◽  
Kirchhoff Problem

The purpose of this thesis is to find effective algorithms to numerically solve certain systems of differential equations that arise from standard Newtonian mechanics. Numerical models of elastica has already been well studied. In this thesis we concentrate on the Kirchhoff problem. The goal is to create an effective and robust numerical method to model the dynamic behavior of springs that have a prescribed natural curvature. In addition to the mathematics, we also provide the implementation details of the numerical method using the computer language Python 3. We also discuss in detail the various difficulties of such a software implementation and how certain auxiliary computations can make the software more effective and robust.

Sign in / Sign up

Export Citation Format

Share Document