Universal Journal of Mathematics and Mathematical Sciences
Volume 2, Issue 1, Pages 119 - 128
(July 2012)
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A NEW PARALLEL ALGORITHM FOR FINITE DIFFERENCE APPROXIMATION TO THE SECOND-ORDER ORDINARY DIFFERENTIAL EQUATION
Wan Zheng-Su, Zhang Cheng-Jian and Zhang Bao-Lin
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Abstract:
The concepts of mathematical stencil and the strategy of stencil elimination are presented in finite difference approximation to the second-order ordinary differential equation, and then a new parallel and explicit algorithm is established. Stability of the algorithm is proved. Numerical examples are given to illustrate the theoretical results. |
| Keywords and phrases: mathematical stencil, second-order ODE, finite difference, parallel algorithm, stability. |
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