Approximate solution of one singular integro-differential equation (Q647872)
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: Approximate solution of one singular integro-differential equation |
scientific article; zbMATH DE number 5975540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate solution of one singular integro-differential equation |
scientific article; zbMATH DE number 5975540 |
Statements
Approximate solution of one singular integro-differential equation (English)
0 references
21 November 2011
0 references
The authors investigate the following four problems: (1) a computational scheme for solving the Cauchy problem for a singular integro-differential equation of the first-order, (2) approximate solutions of the integral equation with a logarithmic kernel, (3) uniform estimates for errors of approximate formulas, and (4) the order of errors of approximate solutions using the Chebyshev polynomials and the method of successive approximations.
0 references
approximate solution
0 references
quadrature formula
0 references
logarithmic kernel
0 references
Prandtl equation
0 references
Chebychev polynomial
0 references
error estimates
0 references
Cauchy problem
0 references
singular integro-differential equation
0 references
