A TECHNIQUE FOR DETERMINING NON-INTEGER EIGENVALUES FOR SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS

摘要

A study of the determination of non-integer eigenvalues for ordinary differential equations with transcendental solutions is presented. An algorithm based on expansion in terms of Chebyshev polynomials and collocation is presented. The method is applied to the problem of computing the electric field external to a biconical radiating structure. Eigenfunction solutions for Legendre's differential equation satisfying the boundary conditions of the problem considered are presented. [Vol. 9, No. 1 (1994), pp 10-17]