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Further, the approximate solution is utilized to obtain the nearly optimal control.
The numerical method is based on Godunov's methodology and utilizes a new approximate solution for the two-phase Riemann problem for arbitrary equations of state.
An approximate solution of the problem is to utilize the known ATR statistics to evaluate the probabilities for each iteration (35).
Rayleigh Ritz solution method is utilized to obtain an approximate solution to the free transverse vibration problem.
Due to difficulties in finding an analytical solution, the assumed modes method is utilized to obtain an approximate solution to the problem.
Rayleigh Ritz solution technique is utilized to obtain an approximate solution to the free longitudinal vibration problem of strain gradient microbars for clamped clamped and clamped-free boundary conditions.
In general, there is no exact solution to solve for W. Instead, a least square method is utilized to obtain an approximate solution.
By utilizing Theorem 2.5, (5) has an approximate solution.
The FTM has recently been utilized in [24 26] to find an approximate solution of the first-order fuzzy differential equations and two-point boundary value problems.
As an alternative, we employ an approximate solution strategy.
Moreover, this is the first time the Ritz Galerkin method in the two-dimensional BWs basis and with utilizing the satisfier function is employed to give an approximate solution of FDWE.
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