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Numerical Algorithms
Erschienen in: Numerical Algorithms 3/2021

13.04.2020 | Original Paper

Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations

Erschienen in: Numerical Algorithms | Ausgabe 3/2021

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Abstract

In this work, we extend the Jacobi spectral approximation to the boundary value problems of nonlinear fractional pantograph differential equations. First, the differential equation is equivalently restated as a Volterra-Fredholm integral equation. Second, we introduce the existence and uniqueness of the solution for the problem. Then, the Jacobi-Gauss points and the Jacobi-Gauss quadrature formula are used to solve the obtained integral equation. The error estimates for the proposed scheme are investigated under the \(L^{\infty }\) norm and the weighted L2 norm. Finally, two illustrative examples are included to confirm our analysis.
Vorheriger Artikel Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity
Nächster Artikel An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition

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Metadaten
Titel
Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations
Publikationsdatum
13.04.2020
Erschienen in
Numerical Algorithms / Ausgabe 3/2021
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-00924-7

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