@Article{JICS-12-203, author = {M. H. Kantli and M. M. Holliyavar}, title = {Wavelet Preconditioners of Electrohydrodynamic flow problem}, journal = {Journal of Information and Computing Science}, year = {2017}, volume = {12}, number = {3}, pages = {203--209}, abstract = { 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. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22478.html} }