Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/102/abstr.html |
| id |
doaj-105facce02274417b901c14866eb5b64 |
|---|---|
| record_format |
Article |
| spelling |
doaj-105facce02274417b901c14866eb5b642020-11-24T21:03:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-09-012005102125Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficientsHongjie DongNicolai V. KrylovWe consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.http://ejde.math.txstate.edu/Volumes/2005/102/abstr.htmlFinite-difference approximationslinear elliptic and parabolic equations. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hongjie Dong Nicolai V. Krylov |
| spellingShingle |
Hongjie Dong Nicolai V. Krylov Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients Electronic Journal of Differential Equations Finite-difference approximations linear elliptic and parabolic equations. |
| author_facet |
Hongjie Dong Nicolai V. Krylov |
| author_sort |
Hongjie Dong |
| title |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
| title_short |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
| title_full |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
| title_fullStr |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
| title_full_unstemmed |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
| title_sort |
rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $c^1$ and $c^2$ coefficients |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2005-09-01 |
| description |
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained. |
| topic |
Finite-difference approximations linear elliptic and parabolic equations. |
| url |
http://ejde.math.txstate.edu/Volumes/2005/102/abstr.html |
| work_keys_str_mv |
AT hongjiedong rateofconvergenceoffinitedifferenceapproximationsfordegeneratelinearparabolicequationswithc1andc2coefficients AT nicolaivkrylov rateofconvergenceoffinitedifferenceapproximationsfordegeneratelinearparabolicequationswithc1andc2coefficients |
| _version_ |
1716772618082713600 |