Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation

DOI10.22067/IJNAO.V10I2.85756zbMath1482.65235OpenAlexW3094511351MaRDI QIDQ3389551

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Publication date: 23 March 2022

Full work available at URL: https://ijnao.um.ac.ir/article_25476_f9bf1ce810a6f7071e124128c89ff9e4.pdf

zbMATH Keywords

convergencelinear stabilityVolterra integro-differential equationsHermite-Birkhoff interpolationmultistep collocation methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Cites Work

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• Multistep Hermite collocation methods for solving Volterra integral equations
• Some interpolation theorems for polynomials
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• Multistep collocation methods for Volterra integral equations
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• Efficient general linear methods for a class of Volterra integro-differential equations
• Stability of numerical methods for Volterra integro-differential equations
• Numerical solution of Volterra integro-differential equations by superimplicit multistep collocation methods
• The question of uniqueness for G.D. Birkhoff interpolation problems
• Regions of Stability in the Numerical Treatment of Volterra Integro-Differential Equations
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Linear Multistep Methods for Volterra Integro-Differential Equations
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
• A special stability problem for linear multistep methods
• A family of Multistep Collocation Methods for Volterra Integro-Differential Equations
• On Hermite-Birkhoff interpolation
• Functional differential equations

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