Efficient Spectral Galerkin and Collocation Approaches Using Telephone Polynomials for Solving Some Models of Differential Equations with Convergence Analysis

Efficient Spectral Galerkin and Collocation Approaches Using Telephone Polynomials for Solving Some Models of Differential Equations with Convergence Analysis

This study presents Galerkin and collocation algorithms based on Telephone polynomials (TelPs) for effectively solving high-order linear and non-linear ordinary differential equations (ODEs) and ODE systems, including those with homogeneous and nonhomogeneous initial conditions (ICs). The suggested...

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Bibliographic Details
Main Authors: Ramy Mahmoud Hafez, Hany Mostafa Ahmed, Omar Mazen Alqubori, Amr Kamel Amin, Waleed Mohamed Abd-Elhameed
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
telephone numbers
telephone polynomials
spectral methods
partial differential equations
convergence analysis
Online Access:https://www.mdpi.com/2227-7390/13/6/918
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