Abstract: The so-called non-linear vector fitting (NL-VF) technique was recently introduced as a new method for rational function approximation in the frequency domain (FD). While the classical vector ...
A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...
Abstract: In this chapter, the authors describe the rational function fitting method (RFFM) and spectral differential equation approximation method (SDEAM), which shift the burden of numerical ...
An Efficient Spectral Method for Ordinary Differential Equations with Rational Function Coefficients
We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of ...
The Exact Rational Solutions to a Shallow Water Wave-Like Equation by Generalized Bilinear Method ()
In recent years, numerous scientists committed to the research of water waves, the shallow water wave can not only describe the freedom of the shallow surface under the gravitational influence of ...
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