Because of this, inhibitors that target one type of PDE
can stop the reaction in multiple members of the PDE
family, resulting in unwanted side effects.
Oumar Seydi, the International Finance Corporation (IFC) Director for Sub-Saharan Africa, said that successfully implementing "the ambitious development strategy of the PDES
requires the structural transformation and increased diversification of Niger's economy, aided by a dynamic and growing private sector." IFC is committed to supporting Niger in creating the conditions for growing its private sector, especially through the use of its new IDA18 private sector window.
To be more precise, meshfree RBF methods are of interest for solving PDEs
due to alternative convergence properties [5, chapter 2], implementation advantages, etc.
One paper of this special issue proposes a mathematical model with ODEs and PDEs
to describe the dynamics of vector-borne diseases such as West Nile virus, malaria, and dengue.
such that the characteristic curves of these first-order PDEs
correspond to solutions of the system of equations
The remaining parts of this paper are arranged as follows: In Section 2, the free-boundary PDEs
governing the American volatility option price are presented and some accompanied properties are introduced.
[10-12] developed BVMs for the direct solution of systems of the general second-order ODEs and PDEs
with initial or boundary conditions.
An effective way to deal with formidable mathematical difficulties posed by the PDEs
of fluid dynamics via approximating them with finite systems of nonlinear ODEs (the so-called low-order models (LOMs)) has been established in pioneering work by Kolmogorov (described in [2,3]), Lorenz [4,5], and Obukhov [6,7].
) are critical components in the cyclic adenosine monophosphate/protein kinase A (cAMPPKA) and the cyclic guanosine monophosphate/protein kinase G (cGMP-PKG) signaling pathways.
In light of cell population, one could use ordinary differential equations (ODEs) to describe the evolution of the total number of cancer cells with and without chemotherapy ; however, since cancer may invade the surrounding tissue and spread, one could subsequently incorporate spatial effects by studying partial differential equations (PDEs
) [5, 8].
) are classes of enzymes that are capable of cleaving the phosphodiester both in cyclic adenosine monophosphate (cAMP) and in cyclic guanosine monophosphate (cGMP), which are the important intracellular messengers to stimulate the penile smooth muscle relaxation and generate the penile erection.
There were many numerical methods which were applied to estimate the solutions of the nonlinear PDEs
and related problems as has been reported by (Tadmor, 2012 and Bartels, 2015).