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논문검색

Fourth-Order Accurate Alternating Group Schemes for the Diffusion Problem

초록

영어

Based on the alternating group strategies, a new high accurate Alternating Group 8-point scheme (AG-8p) for the diffusion problem is presented. The scheme is proved to be unconditionally stable. In numerical experiments, we compare the AG-8p scheme with the AGE and the ASC-N schemes. Finally, numerical results show that the AG-8p scheme has high accuracy.

목차

Abstract
 1. Introduction
 2. The Finite Difference Approximation
 3. The New Alternating Group 8-point (AG-8p) Scheme
 4. Stability and Truncation Error Analyses
 5. Numerical Experiments
 6. Conclusions
 Acknowledgements
 References

저자정보

  • Fuli Qu Basic Courses’ Department, Shandong Women’s University, Jinan 250300, Shandong, China
  • Wenqia Wang School of Mathematics, Shandong University, Jinan 250100, Shandong, China

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