Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems
© 2017, The Author(s). The multilevel augmentation method with the anti-derivatives of the Daubechies wavelets is presented for solving nonlinear two-point boundary value problems. The anti-derivatives of the Daubechies wavelets are applied as the multilevel bases for the subspaces of approximate so...
Saved in:
Main Authors: | , |
---|---|
Format: | Journal |
Published: |
2018
|
Subjects: | |
Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017020981&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57504 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Chiang Mai University |
id |
th-cmuir.6653943832-57504 |
---|---|
record_format |
dspace |
spelling |
th-cmuir.6653943832-575042018-09-05T03:44:07Z Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems Somlak Utudee Montri Maleewong Mathematics © 2017, The Author(s). The multilevel augmentation method with the anti-derivatives of the Daubechies wavelets is presented for solving nonlinear two-point boundary value problems. The anti-derivatives of the Daubechies wavelets are applied as the multilevel bases for the subspaces of approximate solutions. This process results in a full nonlinear system that can be solved by the multilevel augmentation method for reducing computational cost. The convergence rate of the present method is shown. It is the order of 2s, 0 ≤ s≤ p when p is the order of the Daubechies wavelets. Various examples of the Dirichlet boundary conditions are shown to confirm the theoretical results. 2018-09-05T03:44:07Z 2018-09-05T03:44:07Z 2017-12-01 Journal 16871847 16871839 2-s2.0-85017020981 10.1186/s13662-017-1156-8 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017020981&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57504 |
institution |
Chiang Mai University |
building |
Chiang Mai University Library |
country |
Thailand |
collection |
CMU Intellectual Repository |
topic |
Mathematics |
spellingShingle |
Mathematics Somlak Utudee Montri Maleewong Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems |
description |
© 2017, The Author(s). The multilevel augmentation method with the anti-derivatives of the Daubechies wavelets is presented for solving nonlinear two-point boundary value problems. The anti-derivatives of the Daubechies wavelets are applied as the multilevel bases for the subspaces of approximate solutions. This process results in a full nonlinear system that can be solved by the multilevel augmentation method for reducing computational cost. The convergence rate of the present method is shown. It is the order of 2s, 0 ≤ s≤ p when p is the order of the Daubechies wavelets. Various examples of the Dirichlet boundary conditions are shown to confirm the theoretical results. |
format |
Journal |
author |
Somlak Utudee Montri Maleewong |
author_facet |
Somlak Utudee Montri Maleewong |
author_sort |
Somlak Utudee |
title |
Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems |
title_short |
Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems |
title_full |
Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems |
title_fullStr |
Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems |
title_full_unstemmed |
Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems |
title_sort |
multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems |
publishDate |
2018 |
url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017020981&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57504 |
_version_ |
1681424891160559616 |