The Douglas–Rachford and Peaceman–Rachford splitting methods are common choices for temporal discretizations of evolution equations. In this paper we combine these methods with spatial discretizations fulfilling some easily verifiable criteria. In the setting of linear dissipative evolution equations we prove optimal convergence orders, simultaneously in time and space. We apply our abstract re...

In this paper, a new approach to determine the numerical solution of two-dimensional fuzzy Fredholm integral equation of the second kind (2DFFIE2) is proposed. This method is based on the fuzzy bivariate Bernstein polynomials. By using fuzzy bivariate Bernstein polynomials, a 2DFFIE2 can be transformed to a dual fuzzy linear system. The error estimate of this method is presented in terms of the...

With roller coaster traditional fuel prices and ever increasing energy demand, wind energy has known significant growth over the last years. To pave the way for higher efficiency and profitability of wind turbines, advances have been made in different aspects related to this technology. One of these has been the increasing size of wind turbines, thus rendering the wind blades gigantic, lighter ...

the automobile industry’s wastewater not only contains high levels of suspended and total solids such as oil, grease, dyestuff, chromium, phosphate in washing products, and coloring, at various stages of chassis manufacturing but also, a significant amount of dissolved organics,resulting in high bod or cod loads. suspended solids can be removed from the wastewater by chemical precipitation. h...

K e y w o r d s N a v i e r S t o k e s equations, Stokes equations, Convergence, Finite element method, Newton's method. 1. I N T R O D U C T I O N In the course of so lv ing non l inear equa t ions like Navie r -S tokes equa t ions , one m a y e m p l o y N e w t o n and Newtonl ike m e t h o d s combin ing wi th o the r m e t h o d s (see, for example , [1-3], etc.) . I t is well known t h a...

The use of lattice gas (cellular automaton) models has recently been advocated as an interesting method for the simulat ion of fluid flow . Th ese automata are an idealizat ion of the real microscopic molecula r dynamics. We present a model derived from the hexagonal lat t ice gas ru les of Frisch Hasslacher and Pomea u (FHP) that incorporates buoyant forces and d iscusses its prope rt ies. We ...

Undoubtedly, minimum-fuel and -time orbit transfer are the two major goals of the op timal orbit maneuver. This paper considers two coplanar elliptic orbits when the apsidal l ines coincide. We analytically find the conditions for the two-impulse minimum-time tra nsfer orbit using Lambert’s theorem. In the minimum-time transfer, the transfer time is a decreasing function of a variable related t...