The derivation of 5th order diagonal implicit type Runge Kutta methods (DITRKM5) for solving 3rd special ordinary differential equations (ODEs) is introduced in the present study. DITRKM5 techniques are name approach. This approach has three equivalent non-zero elements. To investigate current study, a variety tests five various initial value problems (IVPs) with different step sizes h were imp...

We numerically investigate the pulsatile flow and heat transfer of a micropolar fluid through a Darcy-Forchhmeir porous channel in the presence of wall transpiration. We use the central difference approximations for the spatial derivatives, whereas the time integration has been performed by employing the three steps explicit Runge-Kutta method to obtain the numerical solution. It i...

We consider a class of second-order Strang splitting methods for Allen-Cahn equations with polynomial or logarithmic nonlinearities. For the case both linear and nonlinear propagators are computed explicitly. show that this type scheme is unconditionally stable regardless time step. Moreover we establish strict energy dissipation judiciously modified which coincides classical up to $\mathcal O(...

Fuzzy Classification is of great interest because of its capacity to provide more useful information for Geographic Information Systems. This paper describes an Explicit Fuzzy Supervised Classification method, which consists of three steps. The explicit fuzzyfication is the first step where the pixel is transformed into a matrix of membership degrees representing the fuzzy inputs of the process...

Phosphorylation of photoactivated rhodopsin by rhodopsin kinase (RK or GRK1), a first step of the phototransduction cascade turnoff, is under the control of Ca(2+)/recoverin. Here, we demonstrate that calmodulin, a ubiquitous Ca(2+)-sensor, can inhibit RK, though less effectively than recoverin does. We have utilized the surface plasmon resonance technology to map the calmodulin binding site in...

The subject of research is the numerical integration of atmospheric chemical kinetics systems. The application lies in the study of air pollution, modelled by atmospheric chemistry-transport problems. This application puts high demands on the eeciency of the stii solver. Three explicit methods are discussed and compared for a selected chemical kinetics system which is representative for the sta...