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A Highly Accurate And Efficient Trigonometrically-Fitted P-Stable Three-Step Method For Periodic Initial-Value Problems

Author

Listed:
  • ZHONGCHENG WANG

    (Department of Physics, Shanghai University, 99 Shang Da Road, Shanghai 200444, P. R. China)

  • YONGMING DAI

    (Department of Physics, Shanghai University, 99 Shang Da Road, Shanghai 200444, P. R. China)

  • DONGMEI WU

    (Department of Physics, Shanghai University, 99 Shang Da Road, Shanghai 200444, P. R. China)

Abstract

In this paper we present a new three-step method, which is a trigonometrically-fitted P-stable Obrechkoff method with phase-lag (frequency distortion) infinity. In this new method, we make use of higher-even-order derivatives including the eighth-order to increase the accuracy. On the other hand, we adopt a special structure to reduce the computational complexity of high-derivatives. The numerical illustration demonstrate that the new method has advantage in accuracy, periodic stability and efficiency.

Suggested Citation

  • Zhongcheng Wang & Yongming Dai & Dongmei Wu, 2006. "A Highly Accurate And Efficient Trigonometrically-Fitted P-Stable Three-Step Method For Periodic Initial-Value Problems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 545-560.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:04:n:s0129183106008674
    DOI: 10.1142/S0129183106008674
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