Parallel Computing in Electrical Engineering, 2004. International Conference on (2006)

Bialystok, Poland

Sept. 13, 2006 to Sept. 17, 2006

ISBN: 0-7695-2554-7

pp: 417-420

Tanu Gupta , Punjabi University, India

V.Rathish Kumar , IIT Kanpur, India

Rajesh K. Bawa , Punjabi University, India

ABSTRACT

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.

INDEX TERMS

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CITATION

Tanu Gupta,
V.Rathish Kumar,
Rajesh K. Bawa,
"Parallel Mesh Division Algorithm For General Linear Two Point Boundary Value Problems",

*Parallel Computing in Electrical Engineering, 2004. International Conference on*, vol. 00, no. , pp. 417-420, 2006, doi:10.1109/PARELEC.2006.61