Laguerre series direct method for variational problems
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A direct method for solving variational problems via Laguerre series is presented. First, an operational matrix for the integration of Laguerre polynomials is introduced. The variational problems are reduced to the solution of algebraic equations. An illustrative example is given.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Ritz direct method, Existence theories for free problems in one independent variable, Laguerre polynomials, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Ritz direct method, Existence theories for free problems in one independent variable, Laguerre polynomials, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
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