Collocation on uniform grids
Paolo Amore, Francisco Marcelo Fernández, Ricardo A. Sáenz, Koen Salvo · Journal of Physics A Mathematical and Theoretical · 2009
In this paper we derive four sets of sinc-like functions, defined on a finite interval and obeying different boundary conditions. The functions in each set are orthogonal and their nodes are uniformly distributed on the interval. We have applied each set to solve a large class of eigenvalue equations, with different boundary conditions, both on finite intervals and on the real line, showing that precise numerical results can be obtained efficiently and rapidly. A comparison with results available in the literature is also performed.