Sentence examples for pdes 1 from inspiring English sources

For the underlying physical PDEs (1) the time scale should be taken as ([t]=T-t).

In this paper, we propose finite difference approximations for the fourth-order time-dependent parabolic PDEs (1) and (6).

We tested PDEs 1-5 and found that resveratrol inhibits PDEs 1, 3 and 4. cAMP, in turn, activates AMPK by increasing the activities of the AMPK kinases CamKKβ and, in some conditions LKB1, via cAMP effector proteins Epac1 (cAMP guaninenucleotide exchange factor) or PKA, respectively.

The tools for attracting this problem come from computational harmonic analysis (CHA), variational approaches, and partial differential equations (PDEs) [1].

High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of hyperbolic PDEs [1], [2].

Later moving collocation methods were developed to solve fourth-order PDEs [10] and fractional-order PDEs [11].

The Chebyshev collocation methods are used to solve many problems of ODEs and PDEs [22, 23].

Many other transforms exist which may be used to solve PDEs [4, 5].

In fact, we shall prove that the trivial solution of PDEs (1.6) is globally exponentially stable.

The roles of the recently identified PDEs (PDE7-PDE11) in PAH are complicated and not well understood.

The production of cAMP within the cell is tightly regulated, in part through activities of cytoplasmic phosphodiesterases (PDEs) [6].