A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations
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@Article{JICS-12-052,
author = {S. C. Shiralashetti , M. H. Kantli and A. B. Deshi},
title = {A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {12},
number = {1},
pages = {052--063},
abstract = { In this paper, we have made an attempt to comparative study of the existing Haar wavelet
collocation method with proposed new wavelet-Galerkin method for the solution of differential equations.
The solutions obtained using proposed scheme are comparably good and give higher accuracy than existing
ones with exact solution by increasing the level of resolution.To yield the solutions of differential equations
using usal wavelet-Galerkin require use of connection coefficients, which takes large computational
complexities and time consumption. The proposed scheme is rather simple and avoids the above complexities,
which is demonstrated through the some of the test problems.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22498.html}
}
TY - JOUR
T1 - A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations
AU - S. C. Shiralashetti , M. H. Kantli and A. B. Deshi
JO - Journal of Information and Computing Science
VL - 1
SP - 052
EP - 063
PY - 2024
DA - 2024/01
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22498.html
KW - Haar wavelet collocation method
KW - wavelet-Galerkin method
KW - differential equations
KW - resolution
level.
AB - In this paper, we have made an attempt to comparative study of the existing Haar wavelet
collocation method with proposed new wavelet-Galerkin method for the solution of differential equations.
The solutions obtained using proposed scheme are comparably good and give higher accuracy than existing
ones with exact solution by increasing the level of resolution.To yield the solutions of differential equations
using usal wavelet-Galerkin require use of connection coefficients, which takes large computational
complexities and time consumption. The proposed scheme is rather simple and avoids the above complexities,
which is demonstrated through the some of the test problems.
S. C. Shiralashetti , M. H. Kantli and A. B. Deshi. (2024). A comparative study of the Daubechies wavelet based new Galerkin and Haar wavelet collocation methods for the numerical solution of differential equations.
Journal of Information and Computing Science. 12 (1).
052-063.
doi:
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