I. G. Burova, G. O. Alcybeev, "The Application of Local Splines to Solve Integro-Algebraic Equations," WSEAS Transactions on Systems, vol. 24, pp. 810-817, 2025, DOI:10.37394/23202.2025.24.68
I. G. Burova, G. O. Alcybeev. The Application of Local Splines to Solve Integro-Algebraic Equations.
WSEAS Transactions on Systems. 2025;24:810-817. 10.37394/23202.2025.24.68
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 24, 2025
The Application of Local Splines to Solve Integro-Algebraic Equations
Authors: ,
Abstract: This paper considers the application of local spline approximations to solve integro-algebraic equations. These integro-algebraic equations are the systems of Volterra integral equations with a weak singularity. Previously, the authors considered the application of the local splines of the second and seventh order of approximation to solve Fredholm equations with a weak singularity. In this paper, we discuss the application of the local splines of the second and fifth order of approximation to solve integro-algebraic equations. The results of the numerical experiments are presented.
Keywords:
local splines, integro-algebraic equations, weakly singularity, Volterra integral equation, approximation, interpolation
Pages: 810-817 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 24, 2025, Art. #68 DOI: 10.37394/23202.2025.24.68
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