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Shifted Chebyshev direct method for solving variational problems

1985; Taylor & Francis; Volume: 16; Issue: 7 Linguagem: Inglês

10.1080/00207728508926718

1464-5319

ING-RONG HORNG, Jyh‐Horng Chou,

Advanced Optimization Algorithms Research

Abstract Shifted Chebyshev polynomials for solving variational problems are given in this study. This technique reduces a variational problem to the solution of algebraic equations, and the computation is straightforward on a digital computer. Two illustrative examples are given. Only a small number of the shifted Chebyshev polynomials are needed to calculate the Chebyshev coefficients, and the result produced is very attractive and accurate.