Electronic Journal of Differential Equations, 2019 We consider two-dimensional hyperbolic equations with nonlocal purely integral conditions. We analyze the spectral properties of the finite difference scheme for the two-dimensional hyperbolic problem. To analyze the stability of a weighted difference
Mifodijus Sapagovas +2 more
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Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
, 2013 In this paper, an implicit exponential finite-difference scheme (Expo FDM) has been proposed for solving two dimensional nonlinear coupled viscous Burgers’ equations (VBEs) with appropriate initial and boundary conditions.
Vineet K. Srivastava +2 more
semanticscholar +1 more source
A construction of nonstandard finite difference scheme to fractional differential system
CQD Revista Eletrônica Paulista de Matemática, 2022 In this paper on the nonstandard finite difference technique is proposed to study numerically a fractional differential system. The Grünwald–Letnikov method is used to approximate the fractional derivatives.
Lislaine Cristina Cardoso +2 more
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Boundary Value Problems, 2010 We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite difference scheme is designed.
Xu Youcai, Hu Bing, Hu Jinsong
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A finite difference scheme for three-dimensional steady laminar incompressible flow [PDF]
A finite difference scheme for three-dimensional steady laminar incompressible flows is presented. The Navier-Stokes equations are expressed conservatively in terms of velocity and pressure increments (delta form). First order upwind differences are used
Huynh, Hung T., Hwang, Danny P.
core +1 more source
A Linearized Conservative Finite Difference Scheme for the Rosenau–RLW Equation
AxiomsA novel two–level linearized conservative finite difference method is proposed for solving the initial boundary value problem of the Rosenau–RLW equation.
Yongzheng Li +3 more
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The Structure of Certain Finite Difference Schemes
SIAM Review, 1961 where, upon introducing a set of mesh points each identified by an (n + 1 )-tuple of integers K = (Ko , K1 , * * * , Kn), we choose for each non-initial point K a subset of mesh points S(K) not containing K. The scheme represented by (2) will be explicit if the mesh points can be ordered in such a way that points at which initial conditions are given ...
openaire +2 more sources
Multiphysics Simulator for the IPMC Actuator: Mathematical Model, Finite Difference Scheme, Fast Numerical Algorithm, and Verification. [PDF]
Micromachines (Basel), 2020 Broyko AP +5 more
europepmc +1 more source
An Analytically Modified Finite Difference Scheme for Pricing Discretely Monitored Options
MathematicsFinite difference methods are commonly used in the pricing of discretely monitored exotic options in the Black–Scholes framework, but they tend to converge slowly due to discontinuities contained in terminal conditions. We present an effective analytical
Guo Luo, Min Huang
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Development of a fourth-order compact finite difference scheme for simulation of simulated-moving-bed process. [PDF]
Sci Rep, 2020 Yao C +6 more
europepmc +1 more source