Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation
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DOI: 10.1016/j.apnum.2019.03.005
Abstract: Abstract This paper is mainly concerned with the construction and convergence of Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation. Under some conditions, we first prove the existence and uniqueness of its exact… read more here.
Keywords: differential equation; collocation; fractional differential; legendre gauss ... See more keywords
hp-Legendre–Gauss collocation method for impulsive differential equations
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DOI: 10.1080/00207160.2015.1099632
Abstract: ABSTRACT The original Legendre–Gauss collocation method is derived for impulsive differential equations, and the convergence is analysed. Then a new hp-Legendre–Gauss collocation method is presented for impulsive differential equations, and the convergence for the hp-version… read more here.
Keywords: impulsive differential; legendre gauss; method; gauss collocation ... See more keywords