In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables  method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...

In this paper, we present an application of the stochastic calculusto the problem of modeling electrical networks. The filtering problem have animportant role in the theory of stochastic differential equations(SDEs). In thisarticle, we present an application of the continuous Kalman-Bucy filter for a RLcircuit. The deterministic model of the circuit is replaced by a stochastic model byadding a ...

the aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (pde) in the electroanalytical chemistry. the space fractional derivative is described in the riemann-liouville sense. in the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the grunwald- letnikov discretization of the ri...

A current-source density (CSD) analysis was carried out in the CA 1 region of the hippocampal slice (1) to determine the pattern of current flow in pyramidal cells upon orthodromic stimulation and (2) to test the hypothesis that EPSP-to-spike potentiation is produced by an alteration in this distribution of current sinks and/or sources. The results indicated that 2 sinks occur near the cell bod...

Mediumto long-term archiving of digital documents, beyond the lifespan of the authoring software/hardware, is a challenging problem. Magnetic and optical media are susceptible to environmental influences and deteriorate over time, often to the point where the archived documents can no longer be retrieved. Previous attempts to address this problem include migration and emulation, both of which h...

The National Institute of Standards and Technology (NIST) Standard Ultrasonic Source (SUS) is a system comprising a transducer capable of output power levels up to 1 W at multiple frequencies between 1 MHz and 30 MHz, and an electrical impedance-matching network that allows the system to be driven by a conventional 50 Ω rf (radio-frequency) source. It is designed to allow interlaboratory replic...

moles Np per kg of solution in contact with sorbent). The samples labeled GW are from sorption tests performed in simulated groundwater; all other tests were done in ~0.001 molal sodium chloride solutions—(g) denotes goethite sorbent, (mag) denotes magnetite sorbent. Uptake of Technetium (Tc) by Iron-Based Materials Kenneth M. Krupka, Christopher F. Brown, Steve M. Heald, H. Todd Schaef, Bruce ...