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

DOI10.1007/s11075-020-00924-7zbMath1458.65072OpenAlexW3017242468MaRDI QIDQ2225517

Changqing Yang, Jian-Hua Hou

Publication date: 8 February 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00924-7

zbMATH Keywords

convergence analysisboundary value problemsfractional differential equationJacobi collocation methodVolterra-Fredholm integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05) Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03)

Related Items (7)

A unified approach to study the existence and numerical solution of functional differential equation ⋮ New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations ⋮ Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation ⋮ Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations ⋮ A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions ⋮ Unnamed Item ⋮ A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations

Uses Software

• Chebpack

Cites Work

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• Spectral collocation method for linear fractional integro-differential equations
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• A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
• Spectral Methods
• Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type
• Weighted Inequalities of Hardy Type
• Spectral Methods
• Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey

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