Calculation of the Two-Dimensional Ringleb-Flow with a Finite-Difference Approximation of the Eulerian Equations

1978 ◽  
pp. 89-93
Author(s):  
C. Weiland
Keyword(s):  
Finite Difference ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Two Dimensional

scholarly journals Finite difference approximation for the 2D heat equation with concentrated capacity

Filomat ◽  
2018 ◽  
Vol 32 (20) ◽  
pp. 6979-6987
Author(s):  
Bratislav Sredojevic ◽  
Dejan Bojovic
Keyword(s):  
Finite Difference ◽  
Heat Equation ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Time Dependent ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Two Dimensional ◽  
Sobolev Norms ◽  
Initial Boundary Value

The convergence of difference scheme for two-dimensional initial-boundary value problem for the heat equation with concentrated capacity and time-dependent coefficients of the space derivatives, is considered. An estimate of the rate of convergence in a special discrete Sobolev norms , compatible with the smoothness of the coefficients and solution, is proved.

scholarly journals Modified Explicit Decoupled Group Scheme οn Helmholtz Equation

2020 ◽  
Vol Volume 14 ◽  
Keyword(s):  
Computational Complexity ◽  
Finite Difference ◽  
Iterative Method ◽  
Helmholtz Equation ◽  
Group Scheme ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Group Method ◽  
Two Dimensional ◽  
New Formulation

In this paper, the formulation of a new group iterative method called the Modified Explicit Decoupled Group method in solving the two dimensional Helmholtz equation is described. The method is derived using a combination of the five-point finite difference approximation on the rotated grid stencil together with the five-point centred difference approximation on the standard grid stencils. Numerical experimentations of this new formulation shows significant improvement in computational complexity and execution timings over the original Explicit Decoupled Group method [2].

scholarly journals Finite difference approximation for parabolic interface problem with time-dependent coefficients

2016 ◽  
Vol 99 (113) ◽  
pp. 67-76
Author(s):  
Bratislav Sredojevic ◽  
Dejan Bojovic
Keyword(s):  
Finite Difference ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Sobolev Norm ◽  
Time Dependent ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Interface Problem ◽  
Two Dimensional ◽  
Initial Boundary Value

The convergence of difference scheme for two-dimensional initial boundary value problem for the heat equation with concentrated capacity and time-dependent coefficients of the space derivatives, is considered. An estimate of the rate of convergence in a special discrete W~12,1/2 Sobolev norm, compatible with the smoothness of the coefficients and solution, is proved.

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