Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation [PDF]
Journal of Scientific Computing, 2014 We propose two stable and one conditionally stable finite difference schemes of second-order in both time and space for the time-fractional diffusion-wave equation.
Fanhai Zeng
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Two Conservative Difference Schemes for Rosenau-Kawahara Equation [PDF]
Advances in Mathematical Physics, 2014 Two conservative finite difference schemes for the numerical solution of the initialboundary value problem of Rosenau-Kawahara equation are proposed. The difference schemes simulate two conservative quantities of the problem well.
Jinsong Hu +3 more
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Nonstandard finite difference schemes for a fractional-order Brusselator system [PDF]
Advances in Differential Equations, 2013 In this paper, we discuss numerical methods for fractional order problems. Some nonstandard finite difference schemes are presented and investigated. The application in the simulation of a fractional-order Brusselator system is hence presented.
M. Y. Ongun, Damla Arslan, R. Garrappa
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Nonstandard finite difference schemes for differential equations
Sahand Communications in Mathematical Analysis, 2014 In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs).
Mohammad Mehdizadeh Khalsaraei +1 more
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Fully discrete high resolution schemes for systems of conservation laws [PDF]
, 1994 Effective and robust high resolution schemes are of vital importance for simulation of viscous and inviscid flows. Since second-order high resolution schemes in practice are inadquate for many applications, large efforts have been put towards ...
Shi, Jian
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An improvement of two nonstandard finite difference schemes for two population mathematical models [PDF]
, 2021 The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations.
Calatayud, Julia +3 more
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Backward difference replacements of the space derivative in first order hyperbolic equations [PDF]
, 1983 Two families of two-time level difference schemes are developed for the numerical solution of first order hyperbolic partial differential equations with one space variable.
Khaliq, AQM, Twizell, EH
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High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation [PDF]
Journal of Computational and Applied Mathematics, 2015 In this paper, a class of unconditionally stable difference schemes based on the Pad´e approximation is presented for the Riesz space-fractional telegraph equation. Firstly, we introduce a new variable to transform the original dfferential equation to an
Shan-Zheng Chen +3 more
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Nonstandard Finite Difference Schemes
Nonstandard Finite Difference Schemes, 2020 The major research activities of this proposal center on the construction and analysis of nonstandard finite-difference schemes for ordinary and partial differential equations. In particular, we investigate schemes that either have zero truncation errors
R. Mickens
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Hexagonal vs. Rectilinear Grids for Explicit Finite Difference Schemes for the Two-dimensional Wave Equation [PDF]
, 2013 Finite difference schemes for the 2-D wave equation operating on hexagonal grids and the accompanyingnumerical dispersion properties have received little attention in comparison to schemes operating on rectilinear grids.
Stefan Bilbao +3 more
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