Legendre polynomial for linear ordinary differential equations
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Date
2022-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
UNIVERSITY of M'SILA
Abstract
In this thesis, we presented an numerically method for approximate
first-and second-order linear differential equations that are difficult to
solve by explicite methods. Using legendre polynomials by the method of
collocation, with illustrative examples to compare the exact solution and
the approximate solution to verify the accuracy and effectiveness of the
method.
Description
Keywords
Hilbert Spaces, differential equations, Legendre polynomials, collocation method.