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.