>
Fa   |   Ar   |   En
   On extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis method  
   
نویسنده motsa s.s. ,sibanda p.
منبع journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
چکیده    We propose a sequence of highly accurate higher order convergent iterative schemes by embedding the quasilinearization algorithm within a spectral collocation method. the iterative schemes are simple to use and significantly reduce the time and number of iterations required to find solutions of highly nonlinear boundary value problems to any arbitrary level of accuracy. the accuracy and convergence properties of the proposed algorithms are tested numerically by solving three falkner-skan type boundary layer flow problems and comparing the results to the most accurate results currently available in the literature. we show,for instance,that precision of up to 29 significant figures can be attained with no more than 5 iterations of each algorithm. © 2013 sandile s. motsa and precious sibanda.
آدرس school of mathematics,statistics and computer science,university of kwazulu-natal,private bag x01,scottsville, South Africa, school of mathematics,statistics and computer science,university of kwazulu-natal,private bag x01,scottsville, South Africa
 
     
   
Authors
  
 
 

Copyright 2023
Islamic World Science Citation Center
All Rights Reserved