The flexibility and potential for improved accuracy offered by the shape parameter must be enforced into the algorithms when employing the RBF approach for solving PDEs
As it is seen directly from (58) and (59), a PDE
with one dependent and two independent variables defines codimension one distribution in three spaces.
where a and b are the mean values of the coefficients of diffusion term and convection term of the studied PDEs
on the truncated domain [[V.bar], [V.sub.max]], respectively.
Adeniyi, "Numerical approximations of second order PDEs
by boundary value methods and the method of lines," Afrika Matematika, 2016.
Abbreviations B-CLL: B-cell chronic lymphocytic leukemia cGMP: Cyclic guanosine monophosphate ED: Erectile dysfunction GMP: Guanosine monophosphate IL: Interleukin NKT: Natural killer T-cells NO: Nitric oxide NOS: Nitric oxide synthase PDE-Is: Phosphodiesterase inhibitors PDEs
: Phophodiesterases PKG: Protein kinase G ROS-Nrf2: Reactive oxygen species-nuclear erythroid 2-related factor 2 SC: Sildenafil citrate sGC: Soluble guanylate cyclase TGF-[beta]: Transforming growth factor-[beta] TNF-[alpha]: Tumor necrosis factor-a Treg: Lymphocyte T regulatory cells.
Mingham, Introductory finite difference methods for PDEs
, Bookboon, 2010.
The higher sexual behavior stimulatory effects of the EDP1-001(1) extract at 1g/kg body weight than sildenafil at 0.02 g/kg body weight might be due to the regulatory mechanism of male reproductive system that are not related only to the inhibition of PDEs
activity, but also to the influence on androgens such as testosterone and the release of NO.
In this work, we base our new PDE
based filtering approach on Weickert's coherence-enhancing diffusion  with an adaptive choice of diffusion functions for better edge and corner preservation while smoothing out random noise.
The cyclic nucleotide PDEs
, which hydrolyze cyclic AMP and cyclic GMP, play a pivotal role in intracellular signaling cascades (Lugnier, 2006).
The image enhancement techniques for image deboising is a good approach to combine the advantages of the second-order PDEs
method and the fourth-order PDEs
method, thus has been popular, such as   method.
(3), assuming [phi] is smooth enough so that [[phi].sub.xt] = [[phi].sub.tx] and rearranging, we obtain the partial differential equation (PDE
Operations and process management refers to approaches for ensuring that the personnel responsible for developing ADE/ PDEs
and related product quality acceptance limits (e.g., swab or rinse limits) are qualified to perform this function, as well as addressing approaches for implementing and communicating these limits within and across organizations.