Parallel Computing in Electrical Engineering, 2004. International Conference on (2006)
Sept. 13, 2006 to Sept. 17, 2006
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.
T. Gupta, V. Kumar and R. K. Bawa, "Parallel Mesh Division Algorithm For General Linear Two Point Boundary Value Problems," International Symposium on Parallel Computing in Electrical Engineering(PARELEC), Bialystok, 2006, pp. 417-420.