Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using Lifting scheme
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@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 = {2024},
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 = {1746-7659},
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 - 2024
DA - 2024/01
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22460.html
KW -
Biorthogonal wavelets.
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. (2024). 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:
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