Multistep degenerate matrix method for ordinary differential equations
Two of the simplest general schemes of the degenerate matrix method in the multistep mode are considered. The stability function for these methods is computed by the residue theory in the complex plane. Performances of uniformly and nonuniformly distributed nodes in the standardized interval are co...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2001-06-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9884 |
| Summary: | Two of the simplest general schemes of the degenerate matrix method in the multistep mode are considered. The stability function for these methods is computed by the residue theory in the complex plane. Performances of uniformly and nonuniformly distributed nodes in the standardized interval are compared.
Daugiažingsnis išsigimusios matricos metodas paprastosioms diferencialinems lygtims
Santrauka
Pasiūlytas skaitinis metodas paprastosioms diferencialinems lygtims su pradinemis salygomis spresti. Išvestinems aproksimuoti taikoma matrica, kuri nera reguliarioji. Tai paaiškina metodo pavadinima. Metodo stabilumui tirti taikoma kompleksiniu funkciju rezidumu teorija. Išnagrineti atvejai, kai nepriklausoma kintamaji atitinkantys skaičiavimo schemos mazgai yra paskirstyti intervale kaip tolygiai, taip ir netolygiai.
First Published Online: 14 Oct 2010
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| ISSN: | 1392-6292 1648-3510 |