The numerical solution of Volterra integro-differential equations with state-dependent delay

DOI10.1007/s40995-017-0268-zzbMath1380.65450OpenAlexW3035516192MaRDI QIDQ1696107

L. Shiri, M. Zarebnia

Publication date: 14 February 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0268-z

zbMATH Keywords

convergence analysiscollocation methodstate-dependent delaydelay integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (2)

Existence and uniqueness of solutions for abstract integro-differential equations with state-dependent delay and applications ⋮ Application and comparison of the two efficient algorithms to solve the pantograph Volterra fuzzy integro-differential equation

Cites Work

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• Mathematical modelling of the intravenous glucose tolerance test
• The role of delays in innate and adaptive immunity to intracellular bacterial infection
• Reliable Approximate Solution of Systems of Volterra Integro-Differential Equations with Time-Dependent Delays
• High Order Methods for State-Dependent Delay Differential Equations with Nonsmooth Solutions
• Numerical Methods for Delay Differential Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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