In this paper we introduce a new approach to compute rigorously solutions of Cauchy problems for class semi-linear parabolic partial differential equations. Expanding with Chebyshev series in time and Fourier space, zero finding problem F(a)=0 on Banach algebra X Fourier–Chebyshev sequences, whose solution solves the problem. The challenge lies fact that linear part L=defDF(0) has an infinite b...

A series of 2-amino pyridine-3-carbinitrile derivatives incorporated coumarin moiety has developed via multicomponent condensation of 3-acetyl-2H-chromen-2-one, arylaldehydes, malononitrile and ammonium acetate utilizing Brønsted acidic ionic liquid, (4-sulfobutyl)tris(4-sulfophenyl)phosphonium hydrogen sulfate as catalyst under solvent-free conditions. Good yields, short reaction times, straig...

Despite the fact that shape-memory alloy (SMA) has several mechanical advantages as it continues being used as an actuator in engineering applications, using it still remains as a challenge since it shows both non-linear and hysteretic behavior. To improve the efficiency of SMA application, it is required to do research not only on modeling it, but also on control hysteresis behavior of these m...

context-dependent modeling is a well-known approach to increase modeling accuracy in continuous speech recognition. the most common way to implement this approach is via triphone modeling. nevertheless, the large number of such models results in several problems in model training, whilst the robust training of such models is often hardly obtained. one approach to solve this problem is via param...

As order dependencies between process tasks can get complex, it is easy to make mistakes in process model design, especially behavioral ones such as deadlocks. Notions such as soundness formalize behavioral errors and tools exist that can identify such errors. However these tools do not provide assistance with the correction of the process models. Error correction can be very challenging as the...

hydroforming process in one of the most effective production method, for improving the drawing ratio in sheet metal forming process. this is due to the fact that in hydroforming process, forming takes place using a punch which drives the part forward via a controlled fluid pressure. in this paper, deep drawing hydroforming for circular punch is investigated. different pressure paths are tested ...

Formal analysis of the emergent structural properties of dynamic networks is largely uncharted territory. We focus here on the properties of forward reachable sets (FRS) as a function of the underlying degree distribution and edge duration. FRS are defined as the set of nodes that can be reached from an initial seed via a path of temporally ordered edges; a natural extension of connected compon...

coastal fars gravimetry project in fars province was carried out to find the buried salt domes and to determine characteristics of faults in this area. the lavarestan structure was covered by 4203 gravimetry stations in a regular grid of 1000*250 m. depth structural model of this anticline made in previous studies was based on geological evidences and structural geology measurements. in order t...