many simulation algorithms (chemical reaction systems, differential systems arising from the modeling of transient behavior in the process industries and etc.) contain the numerical solution of systems of differential equations. for the efficient solution of the above mentioned problems, linear multistep methods or runge-kutta technique are used. for the simulation of chemical procedures the ra...

‎In this paper‎, ‎the fractional--order form of three dimensional chemostat model with variable yields is introduced‎. ‎The stability analysis of this fractional system is discussed in detail‎. ‎In order to study the dynamic behaviours of the mentioned fractional system‎, ‎the well known nonstandard (NSFD) scheme is implemented‎. ‎The proposed NSFD scheme is compared with the forward Euler and ...

In this paper a finite difference method for solving 2-dimensional diffusion equation is presented. The method employs Crank-Nicolson scheme to improve finite difference formulation and its convergence and stability. The obtained solution will be a recursive formula in each step of which a system of linear equations should be solved. Given the specific form of obtained matrices, rather than sol...

in this article, thermal stability of beams made of functionally graded material (fgm) is considered. the derivations of equations are based on the one-dimensional theory of elasticity. the material properties vary continuously through the thickness direction. tanigawa's model for the variation of poisson's ratio, the modulus of shear stress, and the coefcient of thermal expansion is...

The seepage and slope stability are very important and necessary in the dam dirt are, therefore, in this context, numerous applications to predict and calculate the rate of leakage has been prepared that than the experimental time and cost savings for the analysis of liquids before construction of earth dams need. In this study, safety factors for slope stability software Kaboodwal  plaxis two-...

Liu process is an uncertain process with stationary and independent increments. Multi-dimensional uncertain differential equation is a type of differential equation driven by multi-dimensional Liu process to model a multidimensional dynamic system. This paper aims at proposing a definition of stability in mean for multi-dimensional uncertain differential equations. Then a stability theorem for ...