Parallelization of the Factored Implicit Finite Difference Technique

AIAA Journal ◽  
1993 ◽  
Vol 31 (9) ◽  
pp. 1725-1727
Author(s):  
Abraham N. Varghese ◽  
Peter E. Raad
Keyword(s):  
Finite Difference ◽  
Finite Difference Technique ◽  
Implicit Finite Difference

Model Berangka Untuk Perlakuan Muka Air Tanah Dari Pengaruh Imbuhan Fana

1983 ◽  
pp. 41-55
Author(s):  
Wan Mokthar Nawang ◽  
Md. Zaid Ali
Keyword(s):  
Finite Difference ◽  
Groundwater Recharge ◽  
Numerical Solutions ◽  
Experimental Results ◽  
Piecewise Constant ◽  
Finite Difference Technique ◽  
Unconfined Aquifers ◽  
Implicit Finite Difference

Masalah imbuhfana ke atas muka air tanah dari akuifer bebas berhad adalah diselesaikan menggunakan kaedah berangka beza berhad implisit. Keputusan penyelesaian berangka disahkan baik berbanding dengan kaedah analitik dan ujikaji makmal. Seterusnya kelakuan muka air tanah diselidiki mengenakan imbuh-imbuh jenis sekata,imbuh sekata berubah dengan masa dan imbuh berkurang secara lelurus dengan masa. The problem of transient groundwater recharge from strip basins to finite unconfined aquifers is solved numerically by implicit finite difference technique. The numerical solutions are verified by comparison with analytical and experimental results. The behaviour of watertable is further examined by applying set of different recharge i.e. constant, piecewise constant, and decreasing linearly with time recharge.

Study of the CEE mechanism by voltammetry and chronoamperometry

1986 ◽  
Vol 64 (12) ◽  
pp. 2319-2323 ◽  
Author(s):  
Andrzej Lasia
Keyword(s):  
Finite Difference ◽  
Kinetic Parameters ◽  
Chemical Reaction ◽  
Electrode Surface ◽  
Linear Sweep Voltammetry ◽  
Electrochemical Reactions ◽  
Linear Sweep ◽  
Bivalent Metal ◽  
Finite Difference Technique ◽  
Implicit Finite Difference

The electroreduction of bivalent metal cations may proceed by a CEE mechanism with a heterogenous chemical reaction on the electrode surface. The applications of the convolutive linear sweep voltammetry and chronoamperometry to study that mechanism are presented. The behaviour of the electrochemical reactions was simulated using an implicit finite difference technique for different values of kinetic parameters. The simulated curves were analysed and an agreement between the introduced and obtained data was found.

scholarly journals A Nonstandard Finite Difference Method for a Generalized Black–Scholes Equation

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 141
Author(s):  
Mohammad Mehdizadeh Khalsaraei ◽  
Mohammad Mehdi Rashidi ◽  
Ali Shokri ◽  
Higinio Ramos ◽  
Pari Khakzad
Keyword(s):  
Finite Difference ◽  
Order Of Convergence ◽  
Space Variable ◽  
Finite Difference Technique ◽  
Black Scholes Model ◽  
Implicit Finite Difference Scheme ◽  
Black Scholes ◽  
Implicit Finite Difference ◽  
Nonstandard Finite Difference ◽  
Good Agreement

An implicit finite difference scheme for the numerical solution of a generalized Black–Scholes equation is presented. The method is based on the nonstandard finite difference technique. The positivity property is discussed and it is shown that the proposed method is consistent, stable and also the order of the scheme respect to the space variable is two. As the Black–Scholes model relies on symmetry of distribution and ignores the skewness of the distribution of the asset, the proposed method will be more appropriate for solving such symmetric models. In order to illustrate the efficiency of the new method, we applied it on some test examples. The obtained results confirm the theoretical behavior regarding the order of convergence. Furthermore, the numerical results are in good agreement with the exact solution and are more accurate than other existing results in the literature.

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

Modelling of Moisture Movement in Wood during Outdoor Storage

2001 ◽  
Vol 6 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
I. Juodeikienė ◽  
A. Kajalavičius
Keyword(s):  
Experimental Data ◽  
Finite Difference ◽  
Climatic Conditions ◽  
Two Dimensional ◽  
Moisture Movement ◽  
Finite Difference Technique ◽  
Long Term Storage ◽  
Space Formulation ◽  
Term Storage

A model of moisture movement in wood is presented in this paper in a two-dimensional-in-space formulation. The finite-difference technique has been used in order to obtain the solution of the problem. The model was applied to predict the moisture content in sawn boards from pine during long term storage under outdoor climatic conditions. The satisfactory agreement between the numerical solution and experimental data was obtained.

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