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

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 nagrinejamas antros eiles Volteros integro‐diferencialiniu lygčiu splainu kolokaci‐jos metodo skaitinis stabilumas ir nustatytas ryšys tarp šios teorijos ir atitinkamos pirmos eiles Volterra integro‐diferencialiniu lygčiu teorijos. Pateikti keleto skaitiniu eksperimentu rezultatai. First Published Online: 14 Oct 2010

Keywords

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