A Spectral Approach to Solve High-Order Ordinary Differential Equations: Improved Operational Matrices for Exponential Jacobi Functions

This paper presents a novel numerical approach to handling ordinary differential equations (ODEs) with initial conditions (ICs) by introducing generalized exponential Jacobi functions (GEJFs). These GFJFs satisfy the associated ICs. A crucial part of this approach is using the spectral collocation m...

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Bibliographic Details

Published in:	Mathematics
Main Author:	Hany Mostafa Ahmed
Format:	Article
Language:	English
Published:	MDPI AG 2025-10-01
Subjects:	Jacobi polynomials exponential Jacobi functions differential equations collocation method initial value problems
Online Access:	https://www.mdpi.com/2227-7390/13/19/3154