A least squares finite element method for time fractional telegraph equation with Vieta-Lucas basis functions

A least squares finite element method for time fractional telegraph equation with Vieta-Lucas basis functions

We proposed a Least Squares Finite Element Method (LSFEM) for the approximate solution of Time fractional telegraph equation (TFTE). The method implemented the Vieta-Lucas polynomials expressed in the Caputo fractional sense as basis functions. The LSFEM reduces the TFTE into algebraic system with e...

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Bibliographic Details
Main Authors: Ebimene James Mamadu, Henrietta Ify Ojarikre, Simon Ajiroghene Ogumeyo, Daniel Chinedu Iweobodo, Ebikonbo-Owei Anthony Mamadu, Jonathan Tsetimi, Ignatius Nkonyeasua Njoseh
Format: Article
Language:English
Published: Elsevier 2024-06-01
Series:Scientific African
Subjects:
Telegraph equation
Conjugate gradient method
Finite element method
Orthogonal polynomials
Vieta-Lucas polynomials
Fractional calculus
Online Access:http://www.sciencedirect.com/science/article/pii/S2468227624001157

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http://www.sciencedirect.com/science/article/pii/S2468227624001157

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