Superconvergence analysis of a linearized three‐step backward differential formula finite element method for nonlinear Sobolev equation
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DOI: 10.1002/mma.5589
Abstract: A linearized three‐step backward differential formula (BDF) Galerkin finite element method (FEM) is developed for nonlinear Sobolev equation with bilinear element. Temporal error and spatial error are discussed through introducing a time‐discrete system. Solutions of… read more here.
Keywords: three step; step backward; linearized three; backward differential ... See more keywords
On Fractional Backward Differential Formulas Methods for Fractional Differential Equations with Delay
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DOI: 10.1007/s40819-018-0493-y
Abstract: In this paper, fractional backward differential formulas are presented for the numerical solution of fractional delay differential equations in Caputo sense. We focus on linear equations. Our investigation is focused on stability properties of the… read more here.
Keywords: backward differential; differential formulas; fractional backward; differential equations ... See more keywords
Fractional Backward Differential Formulas for the Distributed-Order Differential Equation with Time Delay
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0191-x
Abstract: In this paper, we investigate the fractional backward differential formulas for the distributed-order differential equation with time delay. The mid-point quadrature rule is used to approximate the distributed-order equation by a multi-term fractional form. Next… read more here.
Keywords: distributed order; backward differential; differential formulas; fractional backward ... See more keywords