
An explicit formula for an orthornomalized subset Bernstein polynomial basis is derived in order to solve linear boundary value problems with Dirichlet conditions via the Galerkin method.
combinatorial identities, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, ordinary differential equations, Linear boundary value problems for ordinary differential equations, orthogonalization, Other functions coming from differential, difference and integral equations, Other special orthogonal polynomials and functions, Bernstein polynomials, Combinatorial identities, bijective combinatorics
combinatorial identities, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, ordinary differential equations, Linear boundary value problems for ordinary differential equations, orthogonalization, Other functions coming from differential, difference and integral equations, Other special orthogonal polynomials and functions, Bernstein polynomials, Combinatorial identities, bijective combinatorics
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