We study the impact of stochastic mechanisms on a coupled hybrid system consisting of a general advection diffusion reaction partial differential equation and a spatially distributed stochastic lattice noise model. The stochastic dynamics include both spin-flip and spin-exchange type inter-particle interactions. Furthermore, we consider a new, asymmetric, single exclusion process, studied elsew...

This paper describes the quantization–based integration methods and extends their use to the simulation of hybrid systems. Using the fact that these methods approximate ordinary differential equations (ODEs) and differential algebraic equations (DAEs) by discrete event systems, it is shown how hybrid systems can be approximated by pure discrete event simulation models (within the DEVS formalism...

For enhancing low lumination image of underground mine tunnel, a hybrid local histogram equalization with partial differential equation is proposed to combine a local histogram equalization and total variation method with edge-stopping function via partial differential equation. The local histogram equalization is to enhance contrast of image with keeping shape and edge, while total variation m...

This study reports novel hybrid computational methods for the solutions of nonlinear singular Lane-Emden type differential equation arising in astrophysics models by exploiting the strength of unsupervised neural network models and stochastic optimization techniques. In the scheme the neural network, sub-part of large field called soft computing, is exploited for modelling of the equation in an...

This paper puts forward a novel image encryption scheme based on ordinary differential equation system. Firstly, a hyper-chaotic differential equation system is used to generate two hyper-chaotic orbit sequences. Introducing the idea of hybrid orbit, two orbits are mixed to generate a hybrid hyper-chaotic sequence which is used to be the initial chaotic key stream. Secondly, the final encryptio...

Evolutionary computation techniques have mostly been used to solve various optimisation and learning problems. This paper describes a novel application of evolutionary computation techniques to equation solving. Several combinations of evolutionary computation techniques and classical numerical methods are proposed to solve linear and partial differential equations. The hybrid algorithms have b...

In this paper, we study a new operational numerical method for hybrid fuzzy fractional differential equations by using of the hybrid functions under generalized Caputo- type fuzzy fractional derivative. Solving two examples of hybrid fuzzy fractional differential equations illustrate the method.