Convergence in Wavelet Collocation Methods for Parabolic Problems

Jianbin Zhao; Siwen Li; Hua Li

doi:10.4208/jpde.v32.n2.6

Convergence in Wavelet Collocation Methods for Parabolic Problems

Authors

Jianbin Zhao School of Mathematical Sciences, Tongji University, Shanghai 200092, China
Siwen Li School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China
Hua Li School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

DOI:

https://doi.org/10.4208/jpde.v32.n2.6

Keywords:

Second-generation Wavelet;collocation;convergence;stability.

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.

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Published

2019-07-15

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Issue

Vol. 32 No. 2 (2019)

Section

Articles

How to Cite

Convergence in Wavelet Collocation Methods for Parabolic Problems. (2019). Journal of Partial Differential Equations, 32(2), 171-180. https://doi.org/10.4208/jpde.v32.n2.6