TY - JOUR
T1 - Wavelet Preconditioners of Electrohydrodynamic flow problem
AU - M. H. Kantli and M. M. Holliyavar
JO - Journal of Information and Computing Science
VL - 3
SP - 203
EP - 209
PY - 2024
DA - 2024/01
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22478.html
KW -  Classical  preconditioners,  Wavelet  preconditioners,  Electrohydrodynamic  flow,  Hartmann 
electric number. 

AB -  In  this  paper  wavelet  preconditioned  method  is  used  for  the  solution  of  Electrohydrodynamic 
flow problem. A finite difference method is used for the solution of Electrohydrodynamic flow equation. The 
method comprise the nonlinear Newton iteration on the outer loop and a linear iteration on the inside loop 
where  wavelet  based  preconditioned  GMRES  (Generalized  Minimum  Residual)  method  is  used.  In  the 
scheme  the  Jacobian vector product  is  approximated  accurately with  much  ease (without forming  Jacobian 
explicitly  and  requiring  no  extra  storage).  It  overcomes  the  limitations  of  conventional  schemes  for  the 
numerical solution of Electrohydrodynamic flow problem, for computing fluid velocity, covering wide range 
of Hartmann electric number (Ha) parameter with constant 
 of practical interest. To confirm and validate 
the solutions obtained, by the present method, are compared with those obtained by GMRES method.