A fully discrete Galerkin method for Abel-type integral equations
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9598-4
Abstract: In this paper, we present a Galerkin method for Abel-type integral equation with a general class of kernel. Stability and quasi-optimal convergence estimates are derived in fractional-order Sobolev norms. The fully-discrete Galerkin method is defined… read more here.
Keywords: type integral; abel type; method abel; method ... See more keywords
Closed form parametric solutions of nonlinear Abel-type and Riccati-type spacecraft relative motion
Sign Up to like & getrecommendations! Published in 2021 at "Acta Astronautica"
DOI: 10.1016/j.actaastro.2020.10.009
Abstract: Abstract In comparison to the conventional approach of using Cartesian coordinates to describe spacecraft relative motion, the relative orbit description using Keplerian orbital elements provides a better visualization of the relative motion due to the… read more here.
Keywords: relative motion; motion; abel type; riccati type ... See more keywords
A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2016.09.008
Abstract: Abstract In this paper, a spectral iterative method is employed to obtain approximate solutions of singular nonlinear Volterra integral equations, called Abel type of Volterra integral equations. The Abel's type nonlinear Volterra integral equations are… read more here.
Keywords: spectral iterative; iterative method; abel type; integral equations ... See more keywords