Abstract
In this paper, a parallel computational method proposed for the numerical solutions of two point semi-linear 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 times N or (N - 1) times (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
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