A solution for reducing the degree of polynomial composition functions using Faà di Bruno's formula and Fourier transform

DOI10.1007/s40590-023-00521-3zbMath1521.34039MaRDI QIDQ6133368

Ali Ahani, Elshan Ahani

Publication date: 24 July 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

Fourier transformdegree reductionFaà di Bruno's formulaBell's polynomial

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• A perturbative Painlevé approach to nonlinear differential equations
• Existence and asymptotic properties of solutions for a nonlinear Schrödinger elliptic equation from geophysical fluid flows
• Exponential polynomials
• The approximate solution of high-order nonlinear ordinary differential equations by improved collocation method with terms of shifted Chebyshev polynomials
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• An efficient reduced-order modeling approach for non-linear parametrized partial differential equations
• A Multivariate Faa di Bruno Formula with Applications
• Derivatives of composite functions

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