Infinite Interval Problems Modeling Phenomena Which Arise in the Theory of Plasma and Electrical Potential Theory

2003 ◽  
Vol 111 (3) ◽  
pp. 339-358 ◽  
Author(s):  
R. P. Agarwal ◽  
D. O'Regan
Keyword(s):  
Potential Theory ◽  
Electrical Potential ◽  
Infinite Interval ◽  
Interval Problems

Semi—Infinite Interval Problems

1999 ◽  
pp. 40-46
Author(s):  
Ravi P. Agarwal ◽  
Donal O’Regan ◽  
Patricia J. Y. Wong
Keyword(s):  
Infinite Interval ◽  
Interval Problems

scholarly journals Spectral Local Linearisation Approach for Natural Convection Boundary Layer Flow

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
S. S. Motsa ◽  
Z. G. Makukula ◽  
S. Shateyi
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Boundary Layer Flow ◽  
Collocation Methods ◽  
Infinite Interval ◽  
Convection Boundary Layer ◽  
Convection Boundary ◽  
Layer Flow ◽  
Interval Problems ◽  
Domain Transformation

The present work introduces a spectral local linearisation method (SLLM) to solve a natural convection boundary layer flow problem with domain transformation. It is customary to find solutions of semi-infinite interval problems by first truncating the interval and subsequently applying a suitable numerical method. However, this gives rise to increased error terms in the numerical solution. Carrying out a transformation of the semi-infinite interval problems into singular problems posed on a finite interval can avoid the domain truncation error and enables the efficient application of collocation methods. The SLLM is based on linearising and decoupling nonlinear systems of equations into a sequence or subsystems of differential equations which are then solved using spectral collocation methods. A comparative study between the SLLM and existing results in the literature was carried out to validate the results. The method has shown to be a promising efficient tool for nonlinear boundary value problems as it gives converging results after very few iterations.

THEORY OF INTERPOLATION ON INFINITE INTERVAL—I

1986 ◽  
Vol 6 (4) ◽  
pp. 373-378
Author(s):  
K.B. Srivastava
Keyword(s):  
Infinite Interval
Sign in / Sign up

Export Citation Format

Share Document