A Rational Approximation and Its Applications to Differential Equations on the Half Line

@article{Guo2000ARA,
  title={A Rational Approximation and Its Applications to Differential Equations on the Half Line},
  author={Ben-yu Guo and Jie Shen and Zhong-Qing Wang},
  journal={J. Sci. Comput.},
  year={2000},
  volume={15},
  pages={117-147}
}
An orthogonal system of rational functions is introduced. Some results on rational approximations based on various orthogonal projections and interpolations are established. These results form the mathematical foundation of the related spectral method and pseudospectral method for solving differential equations on the half line. The error estimates of the rational spectral method and rational pseudospectral method for two model problems are established. The numerical results agree well with the… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 38 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations

  • Guo, Benyu
  • J. Math. Anal. Appl. 243,
  • 2000
Highly Influential
5 Excerpts

Jacobi spectral approximation and its applications to differential equations on the half line

  • Guo, Benyu
  • J. Comput. Math. 18,
  • 2000

Gegenbauer approximation and its applications to differential equations on the whole line

  • Guo, Benuy
  • J. Math. Anal. Appl. 226,
  • 1998

Spectral Methods and Their Applications, World Scientific Publishing Co. Inc., River Edge, New Jersey

  • Guo, Benyu
  • 1998
2 Excerpts

Orthogonal rational functions on a semi-infinite interval

  • J. P. Boyd
  • J. Comput. Phys. 70,
  • 1987
2 Excerpts

Similar Papers

Loading similar papers…