Spline collocation methods for nonlinear Volterra integral equations with unknown delay

DOI10.1016/0377-0427(95)00228-6zbMath0855.65143OpenAlexW2036539190MaRDI QIDQ1919941

Yuri Yatsenko, Hermann Brunner

Publication date: 16 February 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00228-6

zbMATH Keywords

global convergencemathematical economicslocal superconvergencenumerical illustrationcontinuous collocation methodimplicit Runge-Kutta type methodpiecewise polynomial spline functionssystem of two Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Economic growth models (91B62) Systems of nonlinear integral equations (45G15)

Related Items (5)

Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays ⋮ Collocation methods for third-kind Volterra integral equations with proportional delays ⋮ A Taylor collocation method for solving delay integral equations ⋮ General 2 \({\times}\) 2 system of nonlinear integral equations and its approximate solution ⋮ A numerical method for proportional delay Volterra integral equations

Cites Work

• Continuous Volterra-Runge-Kutta methods for integral equations with pure delay
• Analytical investigation of a class of dynamical models. II
• Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
• Excess-time Renewal Theory with Applications
• Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments
• A Generalized Block Replacement Policy with Minimal Repair and General Random Repair Costs for a Multi-unit System
• Collocation Methods for Nonlinear Volterra Integro-Differential Equations with Infinite Delay
• Volterra integral and differential equations
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