Stability of the spline collocation method for second order Volterra integro‐differential equations

    M. Tarang Info

Abstract

Numerical stability of the spline collocation method for the 2nd order Volterra integro‐differential equation is investigated and connection between this theory and corresponding theory for the 1st order Volterra integro‐differential equation is established. Results of several numerical tests are presented.

Antros eilės Volterra integro-diferencialinių lygčių splainų kolokacijos metodo stabilumas

Santrauka. Straipsnyje nagrinėjamas antros eilės Volteros integro‐diferencialinių lygčių splainų kolokacijos metodo skaitinis stabilumas ir nustatytas ryšys tarp šios teorijos ir atitinkamos pirmos eilės Volterra integro‐diferencialinių lygčių teorijos. Pateikti keleto skaitinių eksperimentų rezultatai.

First Published Online: 14 Oct 2010

Keywords:

The 2nd order Volterra integro‐differential equation, stability of the spline collocation method

How to Cite

Tarang, M. (2004). Stability of the spline collocation method for second order Volterra integro‐differential equations. Mathematical Modelling and Analysis, 9(1), 79-90. https://doi.org/10.3846/13926292.2004.9637243

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March 31, 2004
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2004-03-31

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How to Cite

Tarang, M. (2004). Stability of the spline collocation method for second order Volterra integro‐differential equations. Mathematical Modelling and Analysis, 9(1), 79-90. https://doi.org/10.3846/13926292.2004.9637243

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