Numerical solution of integral-algebraic equations with weakly singular kernels by \(k\)-step methods
zbMath1348.65179MaRDI QIDQ315721
Ol'ga Sergeevna Budnikova, Mikhail Valer'yanovich Bulatov
Publication date: 23 September 2016
Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)
Full work available at URL: http://isu.ru/journal/downloadArticle?article=_9ba22b82030b42078881d45146067fd9&lang=rus
quadrature formulasnumerical experimentmultistep methodsweakly singular kernelAdam's methodsextrapolation formulasintegral-algebraic equationsproduct integration method
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Jacobi spectral solution for integral algebraic equations of index-2
- The semi-explicit Volterra integral algebraic equations with weakly singular kernels: The numerical treatments
- Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
- Nonclassical linear Volterra equations of the first kind
- Numerical solution of the singular Abel integral equation by the generalized quadrature method
- A product integration method for a class of singular first kind Volterra equations
- The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods
- Numerical solution of integral-algebraic equations for multistep methods
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- An Integral Method for the Numerical Solution of Nonlinear Singular Boundary Value Problems
- An analysis of multistep methods for solving integral-algebraic equations: Construction of stability domains
This page was built for publication: Numerical solution of integral-algebraic equations with weakly singular kernels by \(k\)-step methods
