On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions

On the Pseudospectral Method for Solving the Fractional Klein–Gordon Equation Using Legendre Cardinal Functions

This work introduces the Legendre cardinal functions for the first time. Based on Jacobi and Lobatto grids, two approaches are employed to determine these basis functions. These functions are then utilized within the pseudospectral method to solve the fractional Klein–Gordon equation (FKGE). Two num...

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Bibliographic Details
Main Authors: Tao Liu, Bolin Ding, Behzad Nemati Saray, Davron Aslonqulovich Juraev, Ebrahim E. Elsayed
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Fractal and Fractional
Subjects:
cardinal functions
pseudospectral method
Legendre polynomials
fractional partial differential equations
convergence
Online Access:https://www.mdpi.com/2504-3110/9/3/177
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