Numerical solutions for nonlinear ordinary and fractional Newell–Whitehead–Segel equation using shifted Schröder polynomials

Abstract This paper introduces a collocation approach for treating the ordinary and fractional Newell–Whitehead–Segel equation (NWSE). The integer and fractional derivatives of shifted Schröder polynomials (SPs), as well as some new theoretical results of these polynomials, are presented and used in...

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Bibliographic Details
Published in:Boundary Value Problems
Main Authors: N. M. Yassin, A. G. Atta, Emad H. Aly
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Subjects:
Online Access:https://doi.org/10.1186/s13661-025-02041-7