1989•International Journal of Systems ScienceRequires access

Shifted-Jacobi series direct method for variational problems

Mehdi Razzaghi, Mohsen Razzaghi

Abstract

The operational matrix or integration of a Jacobi vector whose elements are Jacobi polynomials is introduced and applied to solve variational problems by a direct method. Illustrative examples are given to demonstrate that only a small number of shifted-Jacobi polynomials are needed to obtain an accurate solution.

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Key concepts: Jacobi method, Jacobi eigenvalue algorithm, Jacobi polynomials, Series (stratigraphy), Mathematics, Jacobi operator, Applied mathematics, Matrix (chemical analysis)