Haar Wavelet Method for the Numerical Solution of Benjamin–Bona–Mahony Equations
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@Article{JICS-11-136,
author = {S. C. Shiralashetti , L. M. Angadi, A. B. Deshi and M. H. Kantli},
title = {Haar Wavelet Method for the Numerical Solution of Benjamin–Bona–Mahony Equations},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {11},
number = {2},
pages = {136--145},
abstract = {In this paper, we proposed an efficient numerical method based on uniform Haar wavelet for the
numerical solutions oflinear and nonlinear Benjamin–Bona–Mahony (BBM) Equations. Such types of
problems arise in various fields of science and engineering. In present study more accurate solutions have
been obtained by Haar wavelet decomposition with multiresolution analysis. Three test problems are
considered to check theefficiency and accuracy of the proposed method.An extensiveamount of error analysis
has been carried out to obtain the convergence of the method.The numerical results are found in good
agreement with exact and finite difference method (FDM), which shows that the solution using Haar wavelet
method (HWM) is more effective and accurate and manageable for these equations. },
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22522.html}
}
TY - JOUR
T1 - Haar Wavelet Method for the Numerical Solution of Benjamin–Bona–Mahony Equations
AU - S. C. Shiralashetti , L. M. Angadi, A. B. Deshi and M. H. Kantli
JO - Journal of Information and Computing Science
VL - 2
SP - 136
EP - 145
PY - 2024
DA - 2024/01
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22522.html
KW - Haar wavelet method
KW - Benjamin–Bona–MahonyEquation
KW - Finitedifference method
KW - Numerical
simulation
KW - Error analysis.
AB - In this paper, we proposed an efficient numerical method based on uniform Haar wavelet for the
numerical solutions oflinear and nonlinear Benjamin–Bona–Mahony (BBM) Equations. Such types of
problems arise in various fields of science and engineering. In present study more accurate solutions have
been obtained by Haar wavelet decomposition with multiresolution analysis. Three test problems are
considered to check theefficiency and accuracy of the proposed method.An extensiveamount of error analysis
has been carried out to obtain the convergence of the method.The numerical results are found in good
agreement with exact and finite difference method (FDM), which shows that the solution using Haar wavelet
method (HWM) is more effective and accurate and manageable for these equations.
S. C. Shiralashetti , L. M. Angadi, A. B. Deshi and M. H. Kantli. (2024). Haar Wavelet Method for the Numerical Solution of Benjamin–Bona–Mahony Equations.
Journal of Information and Computing Science. 11 (2).
136-145.
doi:
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