Bibliographic Details
| Title: |
Mapped Legendre collocation methods for linear Volterra-Fredholm integral equations with delays on a semi-infinite interval. |
| Authors: |
Boutarcha, Sofiane1, Rahmoune, Azedine2 azedine.rahmoune@univ-setif.dz, Guechi, Ahmed3 |
| Source: |
Mathematical Modelling & Analysis. 2026, Vol. 31 Issue 3, p499-520. 22p. |
| Subjects: |
Integral equations, Volterra equations, Orthogonal functions, Numerical solutions to integral equations, Numerical analysis, Gaussian quadrature formulas |
| Abstract: |
In this paper, we present a collocation method for linear Volterra-Fredholm integral equations with delay on a semi-infinite interval. The method employs orthogonal mapped Legendre basis functions together with a mapped Gauss quadrature rule adapted to the Volterra operator, leading to a stable and well-conditioned linear system. The convergence properties of both the collocation and iterated collocation solutions are investigated in the L2- and L8-norms, and algebraic convergence rates are derived under mild regularity assumptions. Several numerical examples are presented and discussed to show the accuracy and efficiency of the methods. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
