Abstract This paper addresses sensor characterization to detect variations in part-to-part gap and weld penetration depth using photodiode-based signals during remote laser welding (RLW) of battery tab connectors. Photodiode-based monitoring has been implemented largely for structural welds due its relatively low cost ease automation. However, research characterization, monitoring, diagnosis de...

A new integral transform method for regularized long-wave (RLW) models having fractional-order is presented in this study. Although analytical approaches are challenging to apply such models, semianalytical or numerical techniques have received much attention the literature. We propose a technique combining transformation, Elzaki (ET), and it equations The RLW describe ion-acoustic waves plasma...

Estuaries are important sediment facies in the fluvial-to-marine transition zone, strongly controlled by dynamic interactions of tides, waves, and fluvial flows, show various changes depositional processes distribution. Deep investigations on sand component estuaries have been conducted; however, understanding how mud supply affects estuaries’ sedimentary characteristics morphology is still vag...

Let N(T, d, δ) denote the covering number, i.e., for every δ > 0, let N(T, d, δ) denote the minimal number of d-balls of radius δ required to cover T . The supremum of a stochastic process Xt defined on T , supt∈T Xt can be quantified in terms of N(T, d, δ) (see (Talagrand, 2005, Chapter 1) for instance) under various assumptions on the process Xt. Department of Mathematical Sciences, Universit...

The exact solutions of some conformable time fractional PDEs are presented explicitly. The modified Kudryashov method is applied to construct the solutions to the conformable time fractional Regularized Long WaveBurgers (RLW-Burgers, potential Korteweg-de Vries (KdV) and clannish random walker’s parabolic (CRWP) equations. Initially, the predicted solution in the finite series of a rational for...