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explicit finite-difference computational scheme

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... one-step scheme based on a prediction-correction frame- ...predictor-corrector finite difference scheme at each time step to convert the non- linear PDE to two linearized difference ...

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Investigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods

Investigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods

... The computational results are compared with those of the Method of Characteristics (MOC), Godunov's scheme and also the exact solution of linear hyperbolic four- equation system to verify the proposed ...

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Water hammer simulation by explicit central finite difference methods in staggered grids

Water hammer simulation by explicit central finite difference methods in staggered grids

... four explicit finite difference solutions of water hammer and their comparison with the largely established solutions of MOC and ...implemented finite difference methods are fast, ...

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Parabolic-elliptic correspondence of a three-level finite difference approximation to the heat equation

Parabolic-elliptic correspondence of a three-level finite difference approximation to the heat equation

... a computational treatise of the derivation of a numerical scheme in the class of iterative and explicit two-steps methods to solve one-dimensional heat ...ADI scheme, this method is ...

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A Numerical Simulation of a Three-dimensional Air Quality Model in an Area Under a Bangkok Sky Train Platform Using an Explicit Finite Difference Scheme

A Numerical Simulation of a Three-dimensional Air Quality Model in an Area Under a Bangkok Sky Train Platform Using an Explicit Finite Difference Scheme

... In 1961, [1] studied the pollution of the air by motor vehi- cles, measurements were made in two London road tunnels during periods of high traffic density. The concentrations of smoke and polycyclic hydrocarbons found ...

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Multisymplectic Structure of a Finite Difference Scheme for a Complex Nonlinear System

Multisymplectic Structure of a Finite Difference Scheme for a Complex Nonlinear System

... of finite difference scheme for some conservative PDEs ...of finite difference scheme ...in difference equations ...with finite difference schemes to show ...

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Fully  Homomorphic  Encryption  on  Octonion  Ring

Fully Homomorphic Encryption on Octonion Ring

... encryption scheme on non-associative octonion ring over finite field without bootstrapping ...previous scheme by (1) adopting the enciphering function such that it is difficult to express simply by ...

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Optical Waveguide Modelling Based On Scalar Finite Difference Scheme

Optical Waveguide Modelling Based On Scalar Finite Difference Scheme

... of finite difference method to solve Equation (6), the E field and the refractive index, n, is considered to be a discrete value at respective x- and y- coordinate and bounded in a box, which represent the ...

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A New Cell-Centred Finite Difference Scheme for CFD Simulations

A New Cell-Centred Finite Difference Scheme for CFD Simulations

... When the solution domain can be discretized to a structured grid with uniform spacing, as shown in Fig. 1.1a, traditional FD is more efficient than either FV or FE, i.e. it is more stable and needs less resources. ...

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Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation

Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation

... For the shifting method, the calculation begins by processing the data on the mesh in Fig. 3.7. First, all the interior nodal values need to be initialized. Then the discretisation equation (3.1) is applied on ...

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A finite difference scheme for magneto thermo analysis of an infinite cylinder

A finite difference scheme for magneto thermo analysis of an infinite cylinder

... problem by using the Laplace transform and the finite difference method. The cylinder is composed of multi- layers with different materials. There is no limit of number of annular layers of the cylinder in ...

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A dynamically consistent nonstandard finite difference scheme for a predator–prey model

A dynamically consistent nonstandard finite difference scheme for a predator–prey model

... Predator–prey interactions belong to the most important ways that species interact in ecological communities. Predator–prey models can reasonably be seen as the building blocks for the ecosystems. Mathematical models ...

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Mean Square Convergent Finite Difference Scheme for Stochastic Parabolic PDEs

Mean Square Convergent Finite Difference Scheme for Stochastic Parabolic PDEs

... stochastic difference (with seven points) method in mean square ...using finite difference method in mean square ...the finite difference method with the aid of mean square calculus can ...

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Finite-Difference Scheme for Initial Boundary Value Problems in Financial Mathematics

Finite-Difference Scheme for Initial Boundary Value Problems in Financial Mathematics

... the difference scheme (18) is monotone for all ℎ and 𝜏 ...the finite-difference scheme (18) is unconditionally monotone and for its solution 𝑦 ∈ 𝐷 ̅ 𝑢 the above two-sided estimates (23) ...

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Heat transfer analysis of components of construction exposed to fire

Heat transfer analysis of components of construction exposed to fire

... Within the computational aspects of the work, one and two-dimensional finite difference and finite element methods have been developed to determine the transient temperature distribution[r] ...

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Simulations of transport in one dimension

Simulations of transport in one dimension

... Abstract Advection-dispersion equation is solved in numerically by using combinations of differential quadrature method (DQM) and various time integration techniques cov- ering some explicit or implicit single and ...

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High speed computing of ice thickness equation for ice sheet model

High speed computing of ice thickness equation for ice sheet model

... implementation of ice thickness equation on CUDA programming can achieve a good speedup. This is due to the sequential programming on CPU needs to wait the process one by one but for parallel programming on GPU is ...

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Improvement of Computational Performance of Implicit Finite Difference Time Domain Method

Improvement of Computational Performance of Implicit Finite Difference Time Domain Method

... excessively large memory. Therefore, two best-known iterative methods, GMRES and BiCGStab, were studied in terms of the number of iteration requirements for convergence with different CFLN , CPU- time and memory ...

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The Best Finite Difference Scheme for the Helmholtz Equation

The Best Finite Difference Scheme for the Helmholtz Equation

... point difference operators for sufficiently smooth solu- ...best difference approximation to the Helmholtz equation in rectangular domain is given in Section ...

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Numerical Simulation in Electrocardiology Using
an Explicit Generalized Finite Difference Method

Numerical Simulation in Electrocardiology Using an Explicit Generalized Finite Difference Method

... generalized finite difference approximation must be obtained at each point the approximations of the partial derivatives obtained by a local approximation (MLS) are much more accurate that those obtained by ...

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