Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution

H. Brunner; Athena Makroglou; R. K. Miller

doi:10.1016/S0168-9274(96)00075-X

Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution

H. Brunner, Athena Makroglou, R. K. Miller

School of Mathematics & Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the application of the so-called mixed interpolation methods derived by De Meyer, Vanthournout and Vanden Berghe (1990) in the numerical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solutions is examined and a convergence analysis of the numerical method is given. Numerical results are included for two examples.

Original language	English
Pages (from-to)	381-402
Journal	Applied Numerical Mathematics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1016/S0168-9274(96)00075-X
Publication status	Published - 1 Jun 1997

Keywords

numerical solution
periodic
Volterra integro-differential equations
first and second order
mixed interpolation
collocation

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10.1016/S0168-9274(96)00075-X

Cite this

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title = "Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution",

abstract = "We study the application of the so-called mixed interpolation methods derived by De Meyer, Vanthournout and Vanden Berghe (1990) in the numerical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solutions is examined and a convergence analysis of the numerical method is given. Numerical results are included for two examples.",

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AU - Brunner, H.

AU - Makroglou, Athena

AU - Miller, R. K.

PY - 1997/6/1

Y1 - 1997/6/1

N2 - We study the application of the so-called mixed interpolation methods derived by De Meyer, Vanthournout and Vanden Berghe (1990) in the numerical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solutions is examined and a convergence analysis of the numerical method is given. Numerical results are included for two examples.

AB - We study the application of the so-called mixed interpolation methods derived by De Meyer, Vanthournout and Vanden Berghe (1990) in the numerical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solutions is examined and a convergence analysis of the numerical method is given. Numerical results are included for two examples.

KW - numerical solution

KW - periodic

KW - Volterra integro-differential equations

KW - first and second order

KW - mixed interpolation

KW - collocation

U2 - 10.1016/S0168-9274(96)00075-X

DO - 10.1016/S0168-9274(96)00075-X

M3 - Article

VL - 23

SP - 381

EP - 402

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 4

ER -

Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution

Abstract

Keywords

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