Title of article :
On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations
Author/Authors :
Aydin ، Emre Department of Mathematics - University of Ondokuz Mayis , Sungu ، Inci Cilingir Department of Mathematics - University of Ondokuz Mayis
Abstract :
In this study, the time-fractional Newell-Whitehead-Segel (NWS) equation and its different nonlinearity cases are investigated. Schemes obtained by the Newtonian linearization method are used to numerically solve different cases of the time-fractional Newell-Whitehead-Segel (NWS) equation. Stability and convergence conditions of the Newtonian linearization method have been determined for the related equation. The numerical results obtained as a result of the appropriate stability criteria are compared with the help of tables and graphs with exact solutions for different fractional values.
Keywords :
Newell , Whitehead , Segel Equation (NWS) , Newtonian type linearization method (NTLM) , CFL condition , stability and convergence criteria
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
