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Volume 14, Issue 3
The Alternating-direction Implicit Characteristic Finite Element Methods for the Three-dimensional Generalized Nerve Conduction Equation

Zhiyue Zhang

J. Part. Diff. Eq., 14 (2001), pp. 207-219.

Published online: 2001-08

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  • Abstract
A complete convergence nnalysis is given for two-level scheme of the alternating-direction implicit characteristic finite element method for the approximate solution of the three-dimensional generalized nerve conduction equation. By use of the calculation of vector product, H^{-1} norm estimates, and a priori estimate theory and technique, the optimal order estimate in L² is obtained.
  • Keywords

Nerve conduction equation the alternating-direction implicit characteristic finite element optimal order estimate in L²

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@Article{JPDE-14-207, author = {Zhiyue Zhang }, title = {The Alternating-direction Implicit Characteristic Finite Element Methods for the Three-dimensional Generalized Nerve Conduction Equation}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {3}, pages = {207--219}, abstract = { A complete convergence nnalysis is given for two-level scheme of the alternating-direction implicit characteristic finite element method for the approximate solution of the three-dimensional generalized nerve conduction equation. By use of the calculation of vector product, H^{-1} norm estimates, and a priori estimate theory and technique, the optimal order estimate in L² is obtained.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5480.html} }
TY - JOUR T1 - The Alternating-direction Implicit Characteristic Finite Element Methods for the Three-dimensional Generalized Nerve Conduction Equation AU - Zhiyue Zhang JO - Journal of Partial Differential Equations VL - 3 SP - 207 EP - 219 PY - 2001 DA - 2001/08 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5480.html KW - Nerve conduction equation KW - the alternating-direction implicit KW - characteristic finite element KW - optimal order estimate in L² AB - A complete convergence nnalysis is given for two-level scheme of the alternating-direction implicit characteristic finite element method for the approximate solution of the three-dimensional generalized nerve conduction equation. By use of the calculation of vector product, H^{-1} norm estimates, and a priori estimate theory and technique, the optimal order estimate in L² is obtained.
Zhiyue Zhang . (2001). The Alternating-direction Implicit Characteristic Finite Element Methods for the Three-dimensional Generalized Nerve Conduction Equation. Journal of Partial Differential Equations. 14 (3). 207-219. doi:
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