A New Discrete Velocity Method for Navier–Stokes Equations

A new discrete velocity method for Navier–Stokes equations

The relation between the Lattice Boltzmann Method, which has recently become popular, and the Kinetic Schemes, which are routinely used in Computational Fluid Dynamics, is explored. A new discrete velocity model for the numerical solution of Navier–Stokes equations for incompressible fluid flow is presented by combining both the approaches. The new scheme can be interpreted as a pseudo-compress...

Discrete Collocation Method for Solving Fredholm Volterra Intergro-Differential Equations

A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS

In the literature, several numerical methods are proposed for solvingnth-order fuzzy linear differential equations. However, till now there areonly two analytical methods for the same. In this paper, the fuzzy Kolmogorov'sdifferential equations, obtained with the help of fuzzy Markov modelof piston manufacturing system, are solved by one of these analytical methodsand illustrated that the obtai...

A New Iterative Method For Solving Fuzzy Integral ‎Equations

In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are ‎valid.‎

A New Discrete Collocation Method For Nonlinear Fredholm Integral Equations

In this paper, the numerical solution of nonlinear Fredholm integral equations of second kind is considered by Sinc method. This numerical method combines a discrete Sinc collocation method with the Newton iterative process that involves solving a nonlinear system of equations. We provide an error analysis for the method. So far approximate solutions with polynomial convergence have been report...