Skip to main content
Log in

The semi-discrete method for solving high-dimension wave equation

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The article gives a semi-discrete method for solving high-dimension wave equation. By the method, high-dimension wave equation is converted by means of discretization into I-D wave equation system which is well-posed. The convergence of the semidiscrete method is given. The numerical calculating results show that the speed of convergence is high.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Courant and D. Hilbert,Methods of Mathematical Physics, Interscience, New York (1962).

    Google Scholar 

  2. Guo Bengyu,Difference Methods for Patial Differential Equation, Science Press (1988). 1–154, 300–338. (in Chinese)

  3. Ma Zaitian,The Seismic Tomograph Technology, Petroleum Industry Press (1989). (in Chinese)

  4. Xie Ganquan, Science in China (A)16, 12 (1988) 1253–1261. (in Chinese)

    Google Scholar 

  5. Zhang Guanquan,Acta. Math. Appl. Sinica,18, 2 (1993), 251–263. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Su Yucheng

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jiancheng, W., Rizeng, C. The semi-discrete method for solving high-dimension wave equation. Appl Math Mech 19, 489–495 (1998). https://doi.org/10.1007/BF02457791

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02457791

Key words

Navigation