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The Ritz method with algebraic polynomial displacement functions is used.
The Ritz method with algebraic polynomials is used.
The Ritz method with algebraic polynomials is used in the formulation.
The Ritz method with algebraic polynomials is used to obtain approximate solutions for arbitrary boundary conditions.
These approaches generalize the Conformal Decomposition Finite Element Method (CDFEM) and the extended finite element method with algebraic constraints (XFEM-AC), respectively, across the De Rham complex.
The Ritz method with algebraic polynomials is used to present the first known natural frequencies for cantilevered shallow shells having triangular and trapezoidal planforms.
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At the end of the 16th century, the French mathematician François Viète introduced the first systematic algebraic notation, using letters to represent known and unknown numerical quantities, and he developed powerful general methods for working with algebraic expressions and solving algebraic equations.
Furthermore, a step-by-step method which excels the method with single-step algebraic equations is used for the prediction of the time variables.
The differential approximation is a method of approximating derivatives with algebraic operation of discrete values.
In this paper an algebraic method, which shares all the advantages of the topological methods and allows us to obtain the same results as the standard algebraic method with a substantial reduction in memory and cpu requirements, is presented.
An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the various KdV-type equations, is used here.
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