Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where . Stability and convergence in  norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction ...

The factor complexity function C w (n) of a finite or infinite word w counts the number of distinct factors of w of length n for each n ≥ 0. A finite word w of length |w| is said to be trapezoidal if the graph of its factor complexity C w (n) as a function of n (for 0 ≤ n ≤ |w|) is that of a regular trapezoid (or possibly an isosceles triangle); that is, C w (n) increases by 1 with each n on so...

  While the effect of changes of stimulus waveform (quasitrapezoidal and rectangular current pulses) on nerve activation is clear, but there is no evidence on the effect of quasitrapezoidal pulses on ionic currents of cellular membrane. In the present study, the effect of depolarizing quasi-trapezoidal current pulses, in comparison with that of depolarizing rectangular current pulses, on firing...

Abstract The present work considers a two-dimensional (2D) heat conduction problem in the semi-infinite domain based on classical Fourier model and other non-Fourier models, e.g., Maxwell–Cattaneo–Vernotte (MCV) equation, parabolic, hyperbolic, modified hyperbolic dual-phase-lag (DPL) equations. Using integral transform technique, Laplace, transforms, we provide solution of (Green’s function) L...

Scapho-trapezio-trapezoid arthrodesis was originally performed for the treatment of scapho-lunate instability. However, only a few publications have described this technique for treatment of osteoarthritis of the scapho-trapezio-trapezoid (STT) joint. The purpose of this paper is to analyze the results of triscaphoid arthrodesis for STT osteoarthritis with a long-term follow-up. Thirteen cases ...

The objective of the study is to present cosine similarity measure based multi-attribute decision making under neutrosophic environment. The assesments of alternatives over the attributes are expressed with trapezoidal fuzzy neutrosophic numbers in which the three independent components namely, truth-membership degree (T), indeterminacy-membership degree (I) and falsity-membership degree (F) ar...

Steel thin-walled beams have been widely used in civil engineering as purlins, ceiling beams or wall substructure beams. There are often planar members such as trapezoidal sheeting or sandwich panels used as roof or wall cladding fastened to the steel beams. The planar members also serve as stabilization of thin-walled beams against buckling due to loss of stability. This paper focuses on probl...

How to maximize the efficiency of X-ray Talbot interferometry (XTI) is discussed for X-ray phase imaging. Shape parameters of an amplitude grating used in XTI strongly affect the efficiency. We calculated efficiencies assuming rectangular and trapezoidal patterns for an absorption grating. As a result, a rectangular absorption grating of a duty ratio of 1:1 is optimal. But, a trapezoidal patter...

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper trapezoidal approximation of fuzzy numbers with respect to the distance based on bi-symmetrical weighted functions are proposed. It is shown that the adequate approximation operator is chosen with respect both to the global spread of a fuzzy numbe...