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Recently, many powerful methods have been used to approximate linear and nonlinear fractional differential equations.
In recent years, many powerful methods were used to construct traveling wave solutions of NLPDEs.
Protein engineering, which encompasses rational design, directed evolution and combined methods, offers many powerful methods and strategies for improving the electron transfer properties of redox proteins.
In recent years, many powerful methods to construct exact solutions of nonlinear partial differential equations have been established and developed, which led to one of the most exciting advances of nonlinear science and theoretical physics.
Over the past few years, many powerful methods for constructing the solutions of NLEEs have been used, for instance, the Bäcklund transform method [18], direct algebraic method [19], modified simple equation method [20], Lie group method [21, 22], (exp -phi z)))-exp -phi zmethod [8, 9, 23, 24], and so on.
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Many powerful method have been proposed, such as Darboux transformation [1], Hirota bilinear method [2], Lie group method [3], homogeneous balance method [4], tanh method.
As is known to all, there are many kinds of powerful methods to obtain the exact solutions of various nonlinear wave equations such as the NLS-type equations.
Many powerful and efficient methods have been proposed to obtain numerical solutions and exact solutions of fractional differential equations so far.
© 2011 Wiley Periodicals, Inc.35:853-860, 2011 The haplotype phase, the co-occurrence of alleles on a chromosome, is a vital piece of information underlying many powerful gene mapping methods including haplotype association, linkage, and genotype imputation [de Bakker et al., 2005].
At present, however, the strong allegiance of many powerful forces to the methods of orthodox medical research serves to denigrate most other methods of gaining insight.
There are many powerful and accurate blind methods for noise variance estimation for the cases of additive and multiplicative noise models.
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