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.