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Then, an appropriate neural network is applied for the solution of the problem.
A standard Galerkin finite element technique has been applied for the solution of the flow equations.
Thus, rigorous thermodynamics providing accurate and reliable temperature profiles must be applied for the solution to have a practical value.
The success of the modified heat treatment depends very sensitively on the parameters applied for the solution and pre-aging treatment.
Then, the method of discrete singular convolution (DSC) based on the Shannon's kernel is applied for the solution of these equations.
In this work, a new mathematical approach (quantized method) has been applied for the solution of the modified grain model equations.
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A boundary element method is applied for the numerical solution of the integral formulation.
In this paper, a fully parallel algorithm for a two-dimensional x/z two-phase Eulerian approach is presented and applied for the numerical solution of the erosion of sediment beds.
A scalar potential of the flow field exists and in the prediction step a MArching in Space and Time (MAST) formulation is applied for the sequential solution of the Ordinary Differential Equation of the cells, ordered according to their potential value computed at the beginning of the time step.
Semismooth Newton methods are applied for the numerical solution of the problem.
In our computations, the linearization technique has been applied for the numerical solution of the test problem.
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