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1. Numerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation method.

Author

Laib, Hafida, Boulmerka, Aissa, Bellour, Azzeddine, and Birem, Fouzia

Subjects
*VOLTERRA equations, *NONLINEAR integral equations, *TAYLOR'S series, *COLLOCATION methods
Abstract

The main purpose of this work is to provide a numerical approach for two-dimensional Volterra integral equations (2D-VIEs). An algorithm based on the use of Taylor polynomials is developed to construct a collocation solution v ∈ S p − 1 , p − 1 (− 1) (Π N , M) for approximating the solution of 2D-VIEs. It is shown that this algorithm is convergent. Some numerical examples are included to demonstrate the accuracy of the presented method. [ABSTRACT FROM AUTHOR]

Published
2023
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