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.
Aydin, E., & Cilingir Sungu, I. (2024). On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations. Computational Methods for Differential Equations, 13(1), 95-106. doi: 10.22034/cmde.2024.58461.2472
MLA
Emre Aydin; Inci Cilingir Sungu. "On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations". Computational Methods for Differential Equations, 13, 1, 2024, 95-106. doi: 10.22034/cmde.2024.58461.2472
HARVARD
Aydin, E., Cilingir Sungu, I. (2024). 'On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations', Computational Methods for Differential Equations, 13(1), pp. 95-106. doi: 10.22034/cmde.2024.58461.2472
VANCOUVER
Aydin, E., Cilingir Sungu, I. On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations. Computational Methods for Differential Equations, 2024; 13(1): 95-106. doi: 10.22034/cmde.2024.58461.2472
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