In this study, the time-fractional Newell-Whitehead-Segel (NWS) equation and its different nonlinearity cases are investigated. Schemes obtained by Newtonian linearization method are used to numerically solve different cases of the time-fractional Newell-Whitehead-Segel (NWS) equation. Stability and convergence conditions of 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.
Aydin, E., & Cilingir Sungu, I. (2024). ON THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.58461.2472
MLA
Emre Aydin; Inci Cilingir Sungu. "ON THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS". Computational Methods for Differential Equations, , , 2024, -. doi: 10.22034/cmde.2024.58461.2472
HARVARD
Aydin, E., Cilingir Sungu, I. (2024). 'ON THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2024.58461.2472
VANCOUVER
Aydin, E., Cilingir Sungu, I. ON THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS. Computational Methods for Differential Equations, 2024; (): -. doi: 10.22034/cmde.2024.58461.2472
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