Stability Analysis of Runge-Kutta Methods for Nonlinear Neutral Volterra Delay-Integro-Differential Equations

DOI10.4208/NMTMA.2011.M1041zbMath1265.65276OpenAlexW4246741834MaRDI QIDQ2916282

Dongfang Li, Wan-Sheng Wang

Publication date: 5 October 2012

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2011.m1041

zbMATH Keywords

stabilityRunge-Kutta methodsweakly singular kernelnonlinear neutral Volterra delay-integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Singular nonlinear integral equations (45G05)

Related Items (4)

Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays ⋮ Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Stability of neutral Volterra integro-differential equations with infinite delay ⋮ Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations

Uses Software

• FODE

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