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Efficient Solutions of Multidimensional Sixth‐Order Boundary Value Problems Using Symmetric Generalized Jacobi‐Galerkin Method
This paper presents some efficient spectral algorithms for solving linear sixth‐order two‐point boundary value problems in one dimension based on the application of the Galerkin method. The proposed algorithms are extended to solve the two‐dimensional sixth‐order differential equations. A family of symmetric generalized Jacobi polynomials is introduced and used as …