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International Symposium on Parallel Computing in Electrical Engineering (PARELEC'06)
Parallel Mesh Division Algorithm For General Linear Two Point Boundary Value Problems
Bialystok, Poland
September 13-September 17
ISBN: 0-7695-2554-7
ASCII Text
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Rajesh K. Bawa, V.Rathish Kumar, Tanu Gupta, "Parallel Mesh Division Algorithm For General Linear Two Point Boundary Value Problems," Parallel Computing in Electrical Engineering, International Conference on, pp. 417-420, International Symposium on Parallel Computing in Electrical Engineering (PARELEC'06), 2006.
 
 
BibTex
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@article{ 10.1109/PARELEC.2006.61,
author = {Rajesh K. Bawa and V.Rathish Kumar and Tanu Gupta},
title = {Parallel Mesh Division Algorithm For General Linear Two Point Boundary Value Problems},
journal ={Parallel Computing in Electrical Engineering, International Conference on},
volume = {0},
year = {2006},
isbn = {0-7695-2554-7},
pages = {417-420},
doi = {http://doi.ieeecomputersociety.org/10.1109/PARELEC.2006.61},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Parallel Computing in Electrical Engineering, International Conference on
TI - Parallel Mesh Division Algorithm For General Linear Two Point Boundary Value Problems
SN - 0-7695-2554-7
SP417
EP420
A1 - Rajesh K. Bawa,
A1 - V.Rathish Kumar,
A1 - Tanu Gupta,
PY - 2006
KW - null
VL - 0
JA - Parallel Computing in Electrical Engineering, International Conference on
ER -
 
Rajesh K. Bawa, Punjabi University, India
V.Rathish Kumar, IIT Kanpur, India
Tanu Gupta, Punjabi University, India
In this paper, a parallel computational method proposed for the numerical solutions of two point semilinear boundary value problems is extended for general linear boundary value problems with natural boundary conditions. A division method is used which divides [0,1] into p different subdivisions, each division consisting of N or (N +1) (N small) unequal intervals. A high order finite difference method for general nonuniform mesh is then applied to the TPBVP on each of p divisions and leads to an N ? N or (N -1)? (N-1) system of linear equations which is solved on p processors simultaneously. Numerical examples are provided to show the accuracy and speedup thus achieved.
Citation:
Rajesh K. Bawa, V.Rathish Kumar, Tanu Gupta, "Parallel Mesh Division Algorithm For General Linear Two Point Boundary Value Problems," parelec, pp.417-420, International Symposium on Parallel Computing in Electrical Engineering (PARELEC'06), 2006
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