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Volume 32, Issue 2
Convergence in Wavelet Collocation Methods for Parabolic Problems

Jianbin Zhao, Siwen Li & Hua Li

DOI: 10.4208/jpde.v32.n2.6

J. Part. Diff. Eq., 32 (2019), pp. 171-180.

Published online: 2019-07

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  • Abstract

This paper studies the second-generation interpolating wavelet collocation methods in space and different Euler time stepping methods for parabolic problems. The convergence and stability are investigated. The operators are formulated using an efficient and exact formulation. The numerical results verify the efficiency of the methods.

  • Keywords

Second-generation Wavelet collocation convergence stability.

  • AMS Subject Headings

37H20, 35C07, 37J20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhaojianbin@zzu.edu.cn (Jianbin Zhao)

huali08@zzu.edu.cn (Hua Li)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-32-171, author = {Zhao , JianbinLi , Siwen and Li , Hua}, title = {Convergence in Wavelet Collocation Methods for Parabolic Problems}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {2}, pages = {171--180}, abstract = {

This paper studies the second-generation interpolating wavelet collocation methods in space and different Euler time stepping methods for parabolic problems. The convergence and stability are investigated. The operators are formulated using an efficient and exact formulation. The numerical results verify the efficiency of the methods.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n2.6}, url = {http://global-sci.org/intro/article_detail/jpde/13241.html} }
TY - JOUR T1 - Convergence in Wavelet Collocation Methods for Parabolic Problems AU - Zhao , Jianbin AU - Li , Siwen AU - Li , Hua JO - Journal of Partial Differential Equations VL - 2 SP - 171 EP - 180 PY - 2019 DA - 2019/07 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n2.6 UR - https://global-sci.org/intro/article_detail/jpde/13241.html KW - Second-generation Wavelet KW - collocation KW - convergence KW - stability. AB -

This paper studies the second-generation interpolating wavelet collocation methods in space and different Euler time stepping methods for parabolic problems. The convergence and stability are investigated. The operators are formulated using an efficient and exact formulation. The numerical results verify the efficiency of the methods.

Zhao , JianbinLi , Siwen and Li , Hua. (2019). Convergence in Wavelet Collocation Methods for Parabolic Problems. Journal of Partial Differential Equations. 32 (2). 171-180. doi:10.4208/jpde.v32.n2.6
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