Burgers’ equation with stochastic initial and boundary conditions is investigated by a polynomial chaos expansion approach where the solution is represented as a series of stochastic, orthogonal polynomials. The analysis of wellposedness for the stochastic Burgers’ equation follows the pattern of that of the deterministic Burgers’ equation. We use dissipation and spatial derivative operators sa...

Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...

symmetry in chaos a search for pattern in mathematics art symmetry in chaos a search for pattern in mathematics art symmetry in chaos a search for pattern in mathematics art symmetry in chaos a search for pattern in mathematics art symmetry in chaos: a search for pattern in mathematics from siam news, volume 43, number 4, may 2010 the classic what is symmetry in nature looking at nature niapa s...

Research has been carried out on the visualization of harmonic and chaos phenomenont coupled vibration physcal case using Runge Kutta numerical computation method with aim applying first to fourth order obtain a second differential equation solution system, calculating displacement value objects fourth, obtained graph againts time in for states at certain step width values compare convergence f...

An Itô-Skorokhod bi-linear equation driven by infinitely many independent colored noises is considered in a normal triple of Hilbert spaces. The special feature of the equation is the appearance of the Wick product in the definition of the Itô-Skorokhod integral, requiring innovative approaches to computing the solution. A chaos expansion of the solution is derived and several truncations of th...

The charging station location model is a nonlinear programming with complex constraints. In order to solve the problems of weak search ability and low solution accuracy whale optimization algorithm (WOA) in solving models or high-dimensional problems, this paper proposes an improved (IWOA) based on hybrid strategies. Chaos mapping reverse learning mechanism are introduced original algorithm, ch...

Abstract The multicast routing technology with multi-QoS constraint is the key for distributed multimedia on the network. In this routing scheme, ant colony algorithm is one of the best algorithms for solving this problem, but it takes too much time to converge. Therefore, an improved ant colony algorithm was proposed. The algorithm utilizes the pheromone positive feedback effect to guide chaos...

Network traffic prediction has been an important problem in the field of network designing and planning. Several prediction approaches are developed to predict the network traffic as well as its generalization promotion ability. By analyzing the limitation of previous approaches, we propose a network traffic prediction approach based on the Chaos theory and Regression-SMKL (RRSMKL) algorithm. T...