Sentence examples for method of undetermined from inspiring English sources
Using Lagrange's method of undetermined multipliers, the optimal canal dimensions were obtained for minimum water loss.
The method of undetermined coefficients is used to find the double Hopf bifurcation normal form.
In this paper a new approach, MPDE-aided method of undetermined coefficient, is proposed to design high-order finite difference schemes.
This method is similar to the analytical method of undetermined coefficients or to power series method being used to solve ordinary differential equations.
Finally we compare the Duan Rach modified recursion scheme in the ADM with the method of undetermined coefficients in the ADM for solution of nonlinear BVPs to illustrate the advantages of our new approach over prior art.
An energy-based formulation that includes a polynomial Rayleigh Ritz approximation into the potential energy function, in combination with the Lagrange's method of undetermined multipliers, has been found very convenient for this type of problem.
The model parameters are identified through the least-square fitting iteration method, of which the undetermined model parameters are updated in iteration to fit the dynamic reflection coefficient curve with the wave-based one.
Technically the constraints are imposed using the method of Lagrange's undetermined multipliers [ 29].
Based on these problems, a new method, which is called the homogeneous balance of undetermined coefficients method, is used to construct not only the exact solutions but also multi-symplectic structure for given NLPDEs.
In this paper the authors used a coupled displacement field method where in the number of undetermined coefficients '2n' existing in the classical energy method are reduced to 'n', which significantly simplifies the procedure to obtain the analytical solution.
The homogeneous balance of undetermined coefficients method is also a standard and computable method, which allows us to solve complicated and tedious algebraic calculations.
