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Volume 13, Issue 1
Wavelet based numerical solution of linear and non-linear parabolic partial differential equations using Lifting scheme

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

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

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  • 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.
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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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