Numerical computation of branch points in ordinary differential equations

1979 ◽  
Vol 32 (1) ◽  
pp. 51-68 ◽  
Author(s):  
R�diger Seydel
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Numerical Computation ◽  
Branch Points

scholarly journals Numerical study of a problem in the combustion of a porous medium

1997 ◽  
Vol 38 (4) ◽  
pp. 506-517
Author(s):  
K. K. Tam ◽  
Andonowati
Keyword(s):  
Porous Medium ◽  
Initial Data ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Numerical Computation ◽  
Spectral Method ◽  
Infinite System ◽  
Numerical Study ◽  
Qualitative Behaviour ◽  
Infinite Slab

AbstractA spectral method is used to consider the porous medium combustion in an infinite slab. The infinite system of ordinary differential equations for the amplitude functions is truncated and comparisons are made for different numbers of modes included in the numerical computation. It is shown that the qualitative behaviour of the solution is captured by the first eigenmode. Dependence of the solution on initial data and a parameter is also considered.

Ordinary differential equations and applications

1999 ◽  
Author(s):  
Werner S. Weigelhofer ◽  
Kenneth A. Lindsay
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations
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