Explicit Multistep Mixed Finite Element Method for RLW Equation
An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is ...
Yang Liu +3 more
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Solving Volterra Integrodifferential Equations via Diagonally Implicit Multistep Block Method
The performance of the numerical computation based on the diagonally implicit multistep block method for solving Volterra integrodifferential equations (VIDE) of the second kind has been analyzed.
Nur Auni Baharum +2 more
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Linear Multistep Method for Advanced IDEs with Piecewise Constant Arguments
In this article, based on the linear multistep method, we combined the simplified reproducing kernel method (SRKM) with the optimization method to solve advanced IDEs with piecewise constant arguments.
Liangcai Mei, Boying Wu, Yingzhen Lin
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Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System [PDF]
We numerically investigate the dynamical behavior of the fractional-order Chua's system. By utilizing the multistep generalized differential transform method (MSGDTM), we find that the fractional-order Chua's system with “effective dimension” less than ...
Asad Freihat, Shaher Momani
doaj +2 more sources
Multistep collocation method for nonlinear delay integral equations [PDF]
The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method.
Parviz Darania
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Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations [PDF]
A smoothing property in multistep backward difference method for a linear parabolic problem in Hilbert space has been proved, where the operator is selfadjoint, positive definite with compact inverse.
Yubin Yan
doaj +2 more sources
The pure pursuit (PP) method has been widely employed in automated guided vehicles (AGVs) to address path tracking challenges. However, the traditional pure pursuit method exhibits certain limitations in tracking performance.
Biling Wang +5 more
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Finite element multistep multideriavative schemes for parabolic equations [PDF]
The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
core +6 more sources
Finite element solutions to boundary value problems [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
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Monotonicity-Preserving Linear Multistep Methods [PDF]
The authors consider several linear multistep methods for ordinary differential equations and provide an analysis of their monotonicity properties, which mainly include positivity and the diminishing of total variation. It is shown that suitable starting procedures allow for statements on monotonicity for important classes of methods not covered by ...
Willem Hundsdorfer +2 more
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