652 publications from this institution
Two-dimensional polyvinyl alcohol based graphene films with the thickness of less than 20 nm were fabricated directly by using polyvinyl alcohol/graphite solution or polyvinyl alcohol/ash solution by electrospinning. It was found that ash particles are good candidate for substitution of graphite particles to fabricate nanographene films. The relationship between the thickness and width of the film is elucidated, and the periodic morphology of the film is explained.
This paper suggests a novel method called max-min method. Maximal and minimal solution thresholds of a nonlinear problem can be easily found, and an approximate solution of the nonlinear equation can be easily deduced using He Chengtian’s interpolation, which has millennia history. Application of the method to nonlinear oscillators is systematically illustrated, illustrating examples show the present technology is very convenient and effective.
Analytical methods belong to perhaps the most challenging, promising, and ‘romantic’ area of modern mathematics, and are playing an even more important role in the mathematics and other ramifications of science, prompting a resurgence of interest in the application of modern as well as classical or ancient mathematics to the search for approximate analytical solutions for various real-life nonlinear physical problems. MatLab and other mathematical software give rise to the tantalizing possibility of analytically seeking approximate solutions to specific problems and revealing various features of the series of solutions obtained.
No abstract is provided for this article.
Scientists have been fascinated by the spider's spinning process, which enables its silk to be incredibly strong. This paper explores the use of a long needle in the electrospinning process to control the inner structure of a PVDF nanofiber. The results show that a longer needle can significantly enhance the nanofiber's piezoelectric performance. The mechanism behind this enhancement is elucidated using the laminar flow theory.
The paper introduces the Menger–Urysohn mathematical theory of dimensions and Cantorian manifolds. It is shown that this topological theory is the basis of El Naschie’s E-infinity Cantorian spacetime theory.
The pivotal aim of this paper is to propose an efficient computational technique, namely, Elzaki fractional projected differential transform method (EFPDTM) to solve the system of linear and nonlinear fractional differential equations. In the EFPDTM process, we investigate the behavior of independent variables for convergent series solution in admissible range. The EFPDTM manipulates and controls the series solution, which rapidly converges to the exact solution in a large admissible domain in a very efficient way. The solution procedure and explanation show the flexible efficiency of the EFPDTM, compared to the other existing classical techniques for solving the system of linear and nonlinear fractional differential equations.
The semi-inverse method is adopted to search for a variational principle for an unelectroded piezoelastic beam. A trial variational formulation with energy integral is constructed with an unknown function, which is identified so that the Euler–Lagrange equations are equivalent to the governing equations.
This paper applies an ancient Chinese algorithm to differential‐difference equations, and a solitary‐solution formulation is obtained. The discrete mKdV lattice equation is used as an example to elucidate the solution procedure.
No abstract is provided for this article.
In the current work, we apply a nonstandard scheme to solve the third‐order Duffing equation. This equation is produced from the strong damped Klein–Gordon equation under the traveling wave transformation. The solution and the stability conditions for the third‐order Duffing equation have been discussed for the first time. The present analysis is new and used the reducing rank method with the homotopy perturbation method. A nonoscillator solution with the oscillating solutions is derived individually and frequency formula is obtained. Besides, the stability analysis is discussed.
A concrete beam is a basic element for many applications in architectural engineering, and its vibration property plays an important role in safety and life-span. Previous vibration models were based on continuum beam theories, which could not take into account the porous property of the concrete beam. This paper adopts a two-scale fractal vibration model, and its low frequency property is revealed. This new finding can explain the vibration attenuation and vibration absorption of the porous concrete, and the present theory sheds a new light on the concrete design.
The perturbed heat and wave equations [A.H. Bokhari, A.G. Johnpillai, F.M. Mahomed, F.D. Zaman, Approximate conservation laws of nonlinear perturbed heat and wave equations, Nonlinear Analysis. Real World Applications 13 (2012) 2823–2829] are studied, which were considered to admit no standard Lagrangian. By the semi-inverse method, however, an exact Lagrangian is obtained and its proof is given.
A dynamic model is established for Sirospun yarn processing. The oscillating frequencies of Sirospun spinning in vertical and horizontal directions are approximately obtained using a variational iteration method. The condition for resonance is obtained.
Comparison of homotopy perturbation method (HPM) and homotopy analysis method is made, revealing that the former is more powerful than the later. Furthermore, the HPM is further developed in this paper by applying the modern perturbation methods.
He Chengtian (369?–447 AD) is a famous ancient Chinese mathematician and astronomer. He proposes an iteration technique for searching for high accurate approximate values for one Moon (29 399 752 days) and one Year (365 150 608 days) respectively. This paper re-studies the He Chengtian's inequality, which might be new to the West.
