Block boundary value methods for solving Volterra integral and integro-differential equations (Q413724)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Block boundary value methods for solving Volterra integral and integro-differential equations |
scientific article; zbMATH DE number 6031326
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Block boundary value methods for solving Volterra integral and integro-differential equations |
scientific article; zbMATH DE number 6031326 |
Statements
Block boundary value methods for solving Volterra integral and integro-differential equations (English)
0 references
7 May 2012
0 references
Volterra integro-differential equation
0 references
difference method of Adams type
0 references
stability
0 references
convergence
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
The Volterra integral equation of second kind and the Volterra integro-differential equation of the form NEWLINE\[NEWLINE y'(t)= f(t,y(t), \int_{t_{0}}^{t} K(t,v,y(v))dv NEWLINE\]NEWLINE are solved using the numerical method based on the quadrature rule for the approximate solution of ordinary differential equation (the generalized Adams method). The convergence and the stability of this method is proved imposing the Lipschitz conditions at the functions \( f(t,y), K(t,v,y).\)
0 references
