On collocation methods for delay differential and Volterra integral equations with proportional delay

DOI10.1007/s11464-009-0004-xzbMath1243.65156OpenAlexW2067532385MaRDI QIDQ1022528

Emiko Ishiwata, Yoshiaki Muroya

Publication date: 22 June 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0004-x

zbMATH Keywords

delay differential equationcollocationproportional delayquasi-uniform meshquasi-constrained mesh

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (10)

A Legendre–Petrov–Galerkin method for solving Volterra integro-differential equations with proportional delays ⋮ Laguerre approach for solving pantograph-type Volterra integro-differential equations ⋮ A spectral method for a weakly singular Volterra integro-differential equation with pantograph delay ⋮ Unnamed Item ⋮ Computational Legendre tau method for Volterra Hammerstein pantograph integral equations ⋮ Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations ⋮ Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials ⋮ Operational matrices of Chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation ⋮ Modified numerical approaches for a class of Volterra integral equations with proportional delays ⋮ A Galerkin-like approach to solve multi-pantograph type delay differential equations

Cites Work

• Unnamed Item
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• Asymptotical stability of numerical methods with constant stepsize for pantograph equations
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• Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments
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• Numerical Methods for Delay Differential Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• The stability of modified Runge-Kutta methods for the pantograph equation
• Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays
• Discretized Stability and Error Growth of The Nonautonomous Pantograph Equation

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