Results 61 to 70 of about 1,147,753 (236)
Staggered Finite Difference Schemes for Conservation Laws [PDF]
Journal of Scientific Computing, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PUPPO G, RUSSO, Giovanni
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Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite-Difference Scheme
, 2019 We discuss the numerical solution of nonlinear parabolic partial differential equations, exhibiting finite speed of propagation, via a strongly implicit finite-difference scheme with formal truncation error $\mathcal{O}\left[(\Delta x)^2 + (\Delta t)^2 ...
A Oron +71 more
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Water Science and Engineering, 2015 A total variation diminishing-weighted average flux (TVD-WAF)-based hybrid numerical scheme for the enhanced version of nonlinearly dispersive Boussinesq-type equations was developed.
Jing Yin, Jia-wen Sun, Zi-feng Jiao
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On stochastic finite difference schemes [PDF]
Stochastic Partial Differential Equations: Analysis and Computations, 2014 Finite difference schemes in the spatial variable for degenerate stochastic parabolic PDEs are investigated. Sharp results on the rate of $L_p$ and almost sure convergence of the finite difference approximations are presented and results on Richardson extrapolation are established for stochastic parabolic schemes under smoothness assumptions.
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, 2016 We present adaptive finite difference ENO/WENO methods by adopting infinitely smooth radial basis functions (RBFs). This is a direct extension of the non-polynomial finite volume ENO/WENO method proposed by authors in \cite{GuoJung} to the finite ...
Guo, Jingyang, Jung, Jae-Hun
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Nonstandard Finite Difference Schemes
Notices of the American Mathematical Society, 2000 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 (exact schemes) or possess other significant features of importance for numerical integration.
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A cubic spline technique for the one dimensional heat conduction equation [PDF]
, 1971 A new method is developed for the numerical solution of the heat conduction equation in one space dimension by replacing the space derivative with a cubic spline approximation and the time derivative with a finite- difference approximation. The method is
Papamichael, N, Whiteman, J R
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Structural stability of finite dispersion-relation preserving schemes
, 2008 The goal of this work is to determine classes of travelling solitary wave solutions for a differential approximation of a finite difference scheme by means of a hyperbolic ansatz.
Ablowitz +16 more
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Modeling the Transmission Dynamics of Coronavirus Using Nonstandard Finite Difference Scheme
Fractal and Fractional, 2023 A nonlinear mathematical model of COVID-19 containing asymptomatic as well as symptomatic classes of infected individuals is considered and examined in the current paper.
Ihsan Ullah Khan +3 more
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New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow
Journal of Applied Mathematics, 2012 We develop a new efficient second-order finite difference scheme for two-dimensional problem of contaminant in groundwater flow. Theoretical analysis shows that the scheme is second-order convergence in the L2 norm and is unconditionally stable ...
Quanyong Zhu +3 more
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