Computational study of time-fractional non-linear Kawahara equations using Quintic B-spline and Galerkin’s method

Computational study of time-fractional non-linear Kawahara equations using Quintic B-spline and Galerkin’s method

This study presents two numerical methods focused on Quintic B-spline (QBS) and Galerkin finite element method (GFEM) for solving time-fractional Kawahara equations. The QBS is utilized as both the basis and test function in the FEM approach. We apply Caputo formula with quadrature rule for evaluati...

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Bibliographic Details
Main Authors: Shams Ul Arifeen, Ihteram Ali, Imtiaz Ahmad, Sadaf Shaheen
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
B-spline
Gauss quadrature
Galerkin method
Kawahara equations
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818124001657
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