Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
B-spline collocation method for solving Fredholm integral equations with discontinuous right-hand side
Authors: Maria Capcelea, Titu Capcelea
Keywords: Fredholm integral equation, piecewise continuous function, closed contour, complex plane, numerical approximation, B-spline, step function, convergence
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Keywords: Fredholm integral equation, piecewise continuous function, closed contour, complex plane, numerical approximation, B-spline, step function, convergence
Abstract
In this paper, we propose a method for approximating the solution of the linear Fredholm integral equation of the second kind which is defined on a closed contour $\Gamma $ in the complex plane. The right-hand side of the equation is a piecewise continuous function that is numerically defined on a finite set of points on $\Gamma $. To approximate the solution, we use a linear combination of B-spline functions and Heaviside step functions defined on $\Gamma $. We discuss both theoretical and practical aspects of the pointwise convergence of the method, including its performance in the vicinity of the points where discontinuities occur.Moldova State University
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DOI
https://doi.org/10.56415/basm.y2023.i2.p92Fulltext
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Contents
- The Second Hankel Determinant for k-symmetrical Functions
- Relative Separation Axioms via Semi-Open Sets
- Growth Properties of Solutions to Higher Order Complex Linear Differential Equations with Analytic Coefficients in the Annulus
- On T-nilpotence of a matrix set
- On the Existence of Stationary Nash Equilibria for Mean Payoff Games on Graphs
- Global Asymptotic Stability of Generalized Homogeneous Dynamical Systems
- The linear Fredholm integral equations with functionals and parameters
- B-spline collocation method for solving Fredholm integral equations with discontinuous right-hand side
- On recursive 1-differentiability of the quasigroup prolongations
- Zero-Order Markov Processes with Multiple Final Sequences of States
