Tension spline collocation methods for singularly perturbed Volterra integro-differential and Volterra integral equations

DOI10.1016/S0377-0427(01)00517-9zbMath0998.65133MaRDI QIDQ1602787

Mladen Rogina, Vilmoš Horvat

Publication date: 24 June 2002

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

zbMATH Keywords

global convergencesingular perturbationVolterra integro-differential equationVolterra equationtension splines collocation methods

Mathematics Subject Classification ID

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

Related Items (16)

A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations ⋮ Piecewise-quasilinearization techniques for singularly perturbed Volterra integro-differential equations ⋮ Uniform difference method for singularly perturbed Volterra integro-differential equations ⋮ A numerical method on Bakhvalov-Shishkin mesh for Volterra integro-differential equations with a boundary layer ⋮ On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations ⋮ The coupled method for singularly perturbed Volterra integro-differential equations ⋮ Unnamed Item ⋮ The uniform convergence of a DG method for a singularly perturbed Volterra integro-differential equation ⋮ Unnamed Item ⋮ Rigorous results on the asymptotic solutions of singularly perturbed nonlinear Volterra integral equations ⋮ Non-uniform exponential tension splines ⋮ Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems ⋮ A posteriori error estimation for a singularly perturbed Volterra integro-differential equation ⋮ Numerical solution of a singularly perturbed Volterra integro-differential equation ⋮ Analysis of a nonlinear singularly perturbed Volterra integro-differential equation ⋮ Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations

Cites Work

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• A collocation method for singularly perturbed two-point boundary value problems with splines in tension
• Blossoming: A geometrical approach
• Implicit Runge-Kutta methods for some integrodifferential-algebraic equations
• Behaviour of exponential splines as tensions increase without bound
• A survey of singularly perturbed Volterra equations
• \(GB\)-splines of arbitrary order
• Implicit Runge-Kutta methods for singularly perturbed integro-differential systems
• Sharp error bounds for interpolating splines in tension
• Asymptotic solution to a class of singularly perturbed Volterra integral equations
• Singularly Perturbed Volterra Integral Equations II
• Singularly Perturbed Volterra Integral Equations
• A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines

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