Direct method for solution variational problems by using Hermite polynomials | Zendy

Ayatollah Yari | Zendy; Mirkamal Mirnia | Zendy

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Direct method for solution variational problems by using Hermite polynomials

Author(s) -

Ayatollah Yari,

Mirkamal Mirnia

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.39925

Subject(s) - hermite polynomials , mathematics , hermite spline , algebraic number , algebraic equation , variable (mathematics) , orthogonal polynomials , classical orthogonal polynomials , algebra over a field , mathematical analysis , pure mathematics , nonlinear system , statistics , physics , quantum mechanics , smoothing spline , bilinear interpolation , spline interpolation

In this paper a new numerical method is presented for numerical approximation of variational problems. This method with variable coefficients is based on Hermite polynomials. The properties of Hermite polynomials with the operational matrices of derivative and integration are used to reduce optimal control problems to the solution of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

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