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ON THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 اردیبهشت 1403 اصل مقاله (1.52 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.58461.2472 | ||
| نویسندگان | ||
| Emre Aydin* ؛ Inci Cilingir Sungu | ||
| Department of Mathematics, University of Ondokuz Mayis, Samsun, Turkey. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Newell-Whitehead-Segel Equation (NWS)؛ Newtonian type linearization method (NTLM)؛ CFL condition؛ stability and convergence criteria | ||
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آمار تعداد مشاهده مقاله: 62 تعداد دریافت فایل اصل مقاله: 68 |
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