Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using Lifting scheme

Journal Home
Volume 19 - 2024
- Vol. 19, Issue 2 pp.81-190
- Vol. 19, Issue 1 pp.1-80
Volume 18 - 2023
- Vol. 18, Issue 2 pp.81-160
- Vol. 18, Issue 1 pp.1-80
Volume 17 - 2022
- Vol. 17, Issue 2 pp.83-160
- Vol. 17, Issue 1 pp.1-80
Volume 16 - 2021
- Vol. 16, Issue 2 pp.83-159
- Vol. 16, Issue 1 pp.1-80
Volume 15 - 2020
- Vol. 15, Issue 2 pp.83-160
- Vol. 15, Issue 1 pp.1-73
Volume 14 - 2019
- Vol. 14, Issue 4 pp.243-320
- Vol. 14, Issue 3 pp.163-240
- Vol. 14, Issue 2 pp.83-160
- Vol. 14, Issue 1 pp.1-80
Volume 13 - 2018
- Vol. 13, Issue 4 pp.243-320
- Vol. 13, Issue 3 pp.163-240
- Vol. 13, Issue 2 pp.83-160
- Vol. 13, Issue 1 pp.1-80
Volume 12 - 2017
- Vol. 12, Issue 4 pp.243-320
- Vol. 12, Issue 3 pp.163-240
- Vol. 12, Issue 2 pp.83-160
- Vol. 12, Issue 1 pp.1-80
Volume 11 - 2016
- Vol. 11, Issue 4 pp.243-320
- Vol. 11, Issue 3 pp.163-240
- Vol. 11, Issue 2 pp.83-160
- Vol. 11, Issue 1 pp.1-80
Volume 10 - 2015
- Vol. 10, Issue 4 pp.243-320
- Vol. 10, Issue 3 pp.163-240
- Vol. 10, Issue 2 pp.83-160
- Vol. 10, Issue 1 pp.1-80
Volume 9 - 2014
- Vol. 9, Issue 4 pp.243-320
- Vol. 9, Issue 3 pp.163-240
- Vol. 9, Issue 2 pp.83-153
- Vol. 9, Issue 1 pp.1-80
Volume 8 - 2013
- Vol. 8, Issue 4 pp.243-320
- Vol. 8, Issue 3 pp.163-240
- Vol. 8, Issue 2 pp.83-160
- Vol. 8, Issue 1 pp.1-80
Volume 7 - 2012
- Vol. 7, Issue 4 pp.243-320
- Vol. 7, Issue 3 pp.163-240
- Vol. 7, Issue 2 pp.83-160
- Vol. 7, Issue 1 pp.1-80
Volume 6 - 2011
- Vol. 6, Issue 4 pp.243-320
- Vol. 6, Issue 3 pp.163-240
- Vol. 6, Issue 2 pp.83-160
- Vol. 6, Issue 1 pp.1-80
Volume 5 - 2010
- Vol. 5, Issue 4 pp.243-320
- Vol. 5, Issue 3 pp.163-240
- Vol. 5, Issue 2 pp.83-160
- Vol. 5, Issue 1 pp.1-80
Volume 4 - 2009
- Vol. 4, Issue 4 pp.243-320
- Vol. 4, Issue 3 pp.161-239
- Vol. 4, Issue 2 pp.83-160
- Vol. 4, Issue 1 pp.1-80
Volume 3 - 2008
- Vol. 3, Issue 4 pp.243-268
- Vol. 3, Issue 3 pp.163-224
- Vol. 3, Issue 2 pp.83-152
- Vol. 3, Issue 1 pp.1-72
Volume 2 - 2007
- Vol. 2, Issue 4 pp.243-298
- Vol. 2, Issue 3 pp.163-240
- Vol. 2, Issue 2 pp.85-160
- Vol. 2, Issue 1 pp.1-80
Volume 1 - 2006
- Vol. 1, Issue 5 pp.259-317
- Vol. 1, Issue 4 pp.195-256
- Vol. 1, Issue 3 pp.129-192
- Vol. 1, Issue 2 pp.65-128
- Vol. 1, Issue 1 pp.1-64

Volume 13, Issue 1

S. C. Shiralashettia , L. M. Angadib and A. B. Deshi

J. Info. Comput. Sci. , 13 (2018), pp. 022-032.

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 358 2678

Cited by

google scholar semantic scholar

Export citation

Abstract

Partial differential equations are fundamental in modeling several natural phenomena. The present work is designed for the Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using lifting scheme. To demonstrate the efficiency and competence of the proposed scheme, we used both orthogonal and biorthogonal wavelets. This scheme speeds up convergence in lesser computational time as compared with existing schemes. Some test problems are presented for the validity and applicability of the scheme.

Keywords

AMS Subject Headings

Email address

BibTex
RIS
TXT

@Article{JICS-13-022, author = {S. C. Shiralashettia , L. M. Angadib and A. B. Deshi}, title = {Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using Lifting scheme}, journal = {Journal of Information and Computing Science}, year = {2018}, volume = {13}, number = {1}, pages = {022--032}, abstract = { Partial differential equations are fundamental in modeling several natural phenomena. The present work is designed for the Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using lifting scheme. To demonstrate the efficiency and competence of the proposed scheme, we used both orthogonal and biorthogonal wavelets. This scheme speeds up convergence in lesser computational time as compared with existing schemes. Some test problems are presented for the validity and applicability of the scheme. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22460.html} }

TY - JOUR T1 - Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using Lifting scheme AU - S. C. Shiralashettia , L. M. Angadib and A. B. Deshi JO - Journal of Information and Computing Science VL - 1 SP - 022 EP - 032 PY - 2018 DA - 2018/03 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22460.html KW - AB - Partial differential equations are fundamental in modeling several natural phenomena. The present work is designed for the Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using lifting scheme. To demonstrate the efficiency and competence of the proposed scheme, we used both orthogonal and biorthogonal wavelets. This scheme speeds up convergence in lesser computational time as compared with existing schemes. Some test problems are presented for the validity and applicability of the scheme.

S. C. Shiralashettia , L. M. Angadib and A. B. Deshi. (2018). Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using Lifting scheme. Journal of Information and Computing Science. 13 (1). 022-032. doi:

Copy to clipboard

BibteX RIS TXT

The citation has been copied to your clipboard

- LOGIN -

- E-mail verification -

- REGISTER -