A new implicit method has been presented for solving singular initial value problems. The formula has derived in such a way that it excludes the singular point. The method is illustrated by suitable examples (first and second order). To check the results the approximate solutions have been compared to exact solutions KeywordsSingular initial value problems; Lane-Emden equations; Emden-Fowler eq...

By means of Contractor Iteration Method, we solve and visualize the Lane-Emden(-Fowler) equation Δu+ u = 0, in Ω, u = 0, on ∂Ω. It is shown that the present method converges quadratically as Newton’s method and the computation of Contractor Iteration Method is cheaper than the Newton’s method. Keywords—Positive Solutions; Newton’s Method; Contractor Iteration Method; Eigenpairs.

We are interested in a nonlocal conservation law which describes the morphodynamics of sand dunes sheared by a fluid flow, recently proposed by Andrew C. Fowler and studied by [1, 2]. We prove that constant solutions of Fowler’s equation are non-linearly unstable. We also illustrate this fact using a finite difference scheme.

A class of finite difference schemes for solving a fractional anti-diffusive equation, recently proposed by Andrew C. Fowler to describe the dynamics of dunes, is considered. Their linear stability is analyzed using the standard Von Neumann analysis: stability criteria are found and checked numerically. Moreover, we investigate the consistency and convergence of these schemes.

Programming mechanisms in floating-gate non-volatile (EEPROM) standard-CMOS memories are briefly reviewed. A methodology to optimize the programming time in poly1-poly2 Fowler-Nordheim based structures is proposed. From design constraints, the optimum number of bumps and bootstrap capacitance value are obtained to maximize the programming speed for a given programming voltage.

We establish some new criteria for the oscillation of second-order Emden–Fowler neutral delay differential equations.We study the case of superlinear and the case of sublinear equations subject to various conditions. The results obtained show that the presence of a neutral term in a differential equation can cause or destroy oscillatory properties. Several examples are provided to illustrate th...

1Department of Electrical and Electronics Engineering, Bilkent University, Bilkent, 06800 Ankara, Turkey 2Department of Electrical and Computer Engineering, Texas A&M University at Qatar, 23874 Doha, Qatar 3Department of Electrical Engineering, University of South Florida, 4202 E Fowler Avenue, Tampa, FL 33620, USA 4Department of Electrical Engineering, Princeton University, Princeton, NJ 08544...

The presence or absence of teeth on the vomer and palatoquadrate bones has a long history in fish systematics. Dentition of these bones is often consistent across families, and is often included in keys to families and family diagnoses. The angelfish family Pomacanthidae has been almost consistently diagnosed as lacking both vomerine and palatine teeth (e.g., Günther 1860; Day 1875; Jordan & Fo...

Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent standard software packages are available for ODEs, there are for good reasons no standard numerical continuation toolboxes available for parti...

The ability to count people from video is a challenging problem. The scientific challenge arises from the fact that although the task is relatively well-defined, the imaging scenario is not well constrained. The background scene can be uncontrolled along with the illumination being complex and varying. Additionally, the spatial and temporal image resolution is usually poor. The context of most ...