Fourth order scheme of exponential type for singularly perturbed volterra integro-differential equations

DOI10.1080/00207160108805058zbMath0984.65145OpenAlexW2028512302WikidataQ126245507 ScholiaQ126245507MaRDI QIDQ2731086

No author found.

Publication date: 12 May 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805058

zbMATH Keywords

stabilitysingular perturbationnumerical experimentsfourth-order schemeVolterra integro-differential equationexponential scheme

Mathematics Subject Classification ID

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

Related Items (6)

Uniform difference method for singularly perturbed Volterra integro-differential equations ⋮ Unnamed Item ⋮ Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems ⋮ Numerical solution of a singularly perturbed Volterra integro-differential equation ⋮ Analysis of a nonlinear singularly perturbed Volterra integro-differential equation ⋮ A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation

Cites Work

• Unnamed Item
• Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems
• A matricial exponentially fitted scheme for the numerical solution of stiff initial-value problems
• Singularly Perturbed Volterra Integral Equations II
• Regions of Stability in the Numerical Treatment of Volterra Integro-Differential Equations
• Convergence and stability of quadrature methods applied to Volterra equations with delay
• Cyclic Multistep Methods for Solving Volterra Integro-Differential Equations
• Stability Regions in the Numerical Treatment of Volterra Integral Equations
• Singularly Perturbed Integral Equations with Endpoint Boundary Layers
• A class of exponential methods for stiff initial-value problems
• Superconvergence of Numerical Solutions to Volterra Integral Equations with Singularities
• Exponential Integrators for Large Systems of Differential Equations
• Geometric meshes and their application to Volterra integro-differential equations with singularities
• Singularly Perturbed Volterra Integral Equations
• Stieltjes Derivatives and $\beta $-Polynomial Spline Collocation for Volterra Integrodifferential Equations with Singularities
• Product integration for Volterra integral equations of the second kind with weakly singular kernels

This page was built for publication: Fourth order scheme of exponential type for singularly perturbed volterra integro-differential equations