New Spectral Solutions for High Odd-Order Boundary Value Problems via Generalized Jacobi Polynomials
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0491-y
Abstract: In this article, some new efficient and accurate algorithms are developed for solving linear and nonlinear odd-order two-point boundary value problems. The algorithm in linear case is based on the application of Petrov–Galerkin method. For… read more here.
Keywords: generalized jacobi; boundary value; odd order; value problems ... See more keywords
Symmetric polynomials, generalized Jacobi-Trudi identities andτ-functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5051546
Abstract: An element [Φ]∈GrnH+,F of the Grassmannian of n-dimensional subspaces of the Hardy space H+=H2, extended over the field F = C(x1, …, xn), may be associated to any polynomial basis ϕ = {ϕ0, ϕ1, ⋯… read more here.
Keywords: jacobi trudi; generalized jacobi; polynomials generalized; trudi identities ... See more keywords
Spectral Solutions of Even-Order BVPs Based on New Operational Matrix of Derivatives of Generalized Jacobi Polynomials
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DOI: 10.3390/sym15020345
Abstract: The primary focus of this article is on applying specific generalized Jacobi polynomials (GJPs) as basis functions to obtain the solution of linear and non-linear even-order two-point BVPs. These GJPs are orthogonal polynomials that are… read more here.
Keywords: generalized jacobi; jacobi polynomials; even order; operational matrix ... See more keywords