Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly
The authors consider application of an approach of the second author and \textit{H. Samara} [Computing 31, 95-103 (1983; Zbl 0508.65045)] to the Tau method of Lanczos for numerical computation of eigenvalues of linear ordinary differential operators with polynomial coefficients and polynomial dependence on the eigenvalue parameter. Three numerical examples are studied involving second and fourth order equations with quadratic dependence on the eigenvalue parameter.
linear ordinary differential operators with polynomial coefficients
scientific article; zbMATH DE number 4045053