In this paper, a Bernoulli pseudo-spectral method for solving nonlinear fractional Volterra integro-differential equations is considered. First existence of a unique solution for the problem under study is proved. Then the Caputo fractional derivative and Riemman-Liouville fractional integral properties are employed to derive the new approximate formula for unknown function of the problem....

Digital images watermarking is a method for data hiding that ensures the security of multimedia data. In these ways, watermark can be digital image or stored within content. The Shearlet transform, multi-resolution and multi-directional conversion, used in images. Due to its superior features, this conversion increase efficiency applications such as paper, SVD transforms are with Whale optimiza...

a water soluble, bronsted acid, 5-sulfosalicylic acid as an efficient organocatalyst was used for the synthesis of physiologically active 2-substituted benzimidazole derivatives from o-phenylenediamine and aromatic aldehydes in ethanol at reflux condition. cost-effectiveness, use of non-hazardous solvents, metal free and commercially available catalyst, single-step, environmentally friendly gre...

The future battlefield transforms to an MDO(multi domain operation) strategy centered U.S. breaks the stereo-framework between physical and virtual realms of battlefield. Accordingly, numerous transcendental strategies merging collaboration have emerged. In this study, we identify propose technologies necessary for EMSO(electro magnetic spectrum development enable efficient MDO performance Kore...

Abstract In this work, a method is put forward to obtain the dynamic solution efficiently and accurately for large-scale train–track–substructure (TTS) system. It called implicit-explicit integration multi-time-step (abbreviated as m I- n E-MTS method). The TTS system divided into train–track subsystem substructure subsystem. Considering that root cause of low efficiency obtaining lies in solvi...

this paper presents approximate analytical solutions for nonlinear oscillators using the multi-step homotopy analysis method (msham). the proposed scheme is only a simple modification of the homotopy analysis method, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. several illustrat...

Computationally efficient numerical techniques are developed for studying the time-dependent behavior of repetitively pulsed reactors. Reactivity perturbations synchronous with the external pulse are also considered. Three types of reactivity are considered: step change, sinusoidal, and thermal feedback. Noniterative techniques, based upon Laplace transforms and residues, are used to solve the ...