Regularizing properties of difference schemes for singular integral-differential equations
From MaRDI portal
Publication:450890
DOI10.1016/j.apnum.2012.06.006zbMath1256.65105OpenAlexW1967948674MaRDI QIDQ450890
Publication date: 26 September 2012
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.006
stabilitydifference schemesAdams quadrature formulassystem of singular integral-differential equations
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)
Related Items
On some results of investigation of singular systems of integrodifferential equations obtained by Yu. Ye. Boyarintsev research group, Linear differential-algebraic equations perturbed by Volterra integral operators, Construction of measures of noncompactness of \(DC^{n}[J,E\) and \(C^{n}_{0}[J,E]\) with application to the solvability of \(n\)th-order integro-differential equations in Banach spaces], Solution of differential algebraic equations with the Fredholm operator by the least squares method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite difference methods for time dependent, linear differential algebraic equations
- Implicit Runge-Kutta methods for singularly perturbed integro-differential systems
- Numerical solution of integro-differential systems with a degenerate matrix multiplying the derivative by multistep methods
- Nonclassical linear Volterra equations of the first kind
- The method of normal spline collocation
- 10.1007/s11470-008-3007-x
- Solvability of Boundary Value Problems for Systems of Singular Differential-Algebraic Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- A method for solving nonlinear spectral problems for a class of systems of differential algebraic equations