It is well known that the existence of the cross derivative terms in the PDEs
could cause several drawbacks such as instability and oscillation in the process of finding their solutions.
In modern terminology, an ODE or a PDE
is identified with an exterior differential system in an appropriate jet bundle and this approach leads to geometrization of differential equations.
The aim of this section is to study the numerical contour integral methods (NCIMs) for solving the free-boundary PDEs
In this section, we consider five numerical examples using the BVMs of order 6 to solve the ODE system arising from the semidiscretization of the PDEs
. All computations were carried out using a written code in Mathematica 11.0.
are composed of 3 main domains: the catalytic core (highly conserved), the regulatory N-terminus, and the carboxyl C-terminus.
The first equation in the coupled PDEs
represents diffusion of the drug into the cancer after it is delivered through the blood vessel and the binding rate to cancer cells.
Activity Inhibition of the Selected Plant Extracts.
A solution method for solving systems of nonlinear PDEs
. World Appl.
Various modifications and adaptations of PM PDE
in particular and other PDEs
in general have been proposed in the last two decades.
Results are provided as mean [+ or -] S.E.M of 3 different [IC.sub.50] determinations on each purified vascular PDEs
according to Lugnier et al., (1986).
Conservation laws, scaling properties, and peaked, compact traveling wave solutions for this class of PDEs