Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method

In this paper, we investigate the initial‐boundary‐value problem for the nonhomogeneous Korteweg‐de Vries equation with conformable derivative on time part of it. We use the finite element method with B‐spline as the basis functions for obtaining the numerical solutions for this nonlinear equation....

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Bibliographic Details

Published in:	Numerical methods for partial differential equations Vol. 37; no. 2; pp. 1449 - 1463
Main Authors:	Pedram, Leila, Rostamy, Davoud
Format:	Journal Article
Language:	English
Published:	Hoboken, USA John Wiley & Sons, Inc 01.03.2021 Wiley Subscription Services, Inc
Subjects:	Basis functions Boundary value problems B‐spline conformable derivative error estimate Exact solutions Finite element analysis Finite element method Korteweg-Devries equation Korteweg‐de Vries equation nonhomogeneous partial differential equation Nonlinear equations
ISSN:	0749-159X, 1098-2426
Online Access:	Get full text
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