Stability of the spline collocation method for second order Volterra integro‐differential equations
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 pr...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2004-03-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9711 |
| Summary: | 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 |
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| ISSN: | 1392-6292 1648-3510 |