Solutions of 2nd-order linear differential equations subject to Dirichlet boundary conditions in a Bernstein polynomial basis

An algorithm for approximating solutions to 2nd-order linear differential equations with polynomial coefficients in B-polynomials (Bernstein polynomial basis) subject to Dirichlet conditions is introduced. The algorithm expands the desired solution in terms of B-polynomials over a closed interval [0...

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Bibliographic Details
Main Author: H.M. Ahmed
Format: Article
Language:English
Published: SpringerOpen 2014-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X13000977