Superconvergent Methods Based on Cubic Splines for Solving Linear Integral Equations

Bellour Azzeddine,Sbibih Driss,Zidna Ahmed

Mathematical and Computational Methods for Modelling, Approximation and Simulation（2022）

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摘要

In this paper we propose two collocation methods, based on superconvergent cubic spline interpolant and quasi-interpolant, for approximating the solution of the second kind Fredholm integral equations. Convergence analysis is established. Some numerical examples are given to show the validity of the presented methods.

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关键词

PGS Cubic spline, Collocation method, Superconvergence Cubic Quasi-interpolant, Fredholm integral equation

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