[PDF] Top 20 The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference ‎Method

... differential equations have an im- of the models that is a special form of incom- pressible Navier-Stokes equation without having pressure term and continuity equation is the non- linear coupled ... See full document

... the nonlinear coupled Burgers’ equations numer- ically; which is suggested by [1] ...A solution based on fourth order accurate compact ADI scheme by Radwan [2], Khater et al [3] studied ... See full document

... Chebyshev finite difference method (ChFD) to discretize Equation (3) to get a nonlinear system of algebraic equations, thus greatly simplifying the ...numerical solution of ... See full document

... The main contribution in this paper is to describe second- order explicit finite-difference scheme. This scheme helps us to solve the coupled hyperbolic equations on a uni- form grid, and is ... See full document

... the coupled nonlinear Schrodinger-Boussinesq ...first method is a nonlinear implicit scheme of second order accuracy in both directions time and space; the scheme is unconditionally ...a ... See full document

... governing equations of the first-order theory into those describing the interior and edge-zone problems of the plate, Nosier and Fallah [18] presented closed-form solutions for bending analysis of ... See full document

... exponential method for efficient applicable in unbounded domains with steady state property (u( ∞ ) = constant), ...the solution to be regular at ∞ ...semi-infinite interval are related to the diffusion ... See full document

... differential equations do not exist, approximation and numerical methods are used for the solutions of the FDEs Ali et ...B-spline finite element methods to the solution of Burger’s ...B-spline ... See full document

... the interval [0, 1], where M is some negative ...unique solution y(x) which in general, displays a boundary layer of width O(  ) at x = 1 for small values of ... See full document

... the coupled nonlinear Schrödinger equation are derived in the last two ...decades. Finite difference and finite element methods are used to solve this system by Ismail ...compact ... See full document

... (1970) method to get graphical illustration of the mathematical solution for horizontal water ...approximate solution considering average diffusivity coefficient of the whole range of moisture ... See full document

... analytic solution of two-dimensional coupled Burgers equa- tions using the Hopf-Cole ...of coupled Burgers equations have attracted considerable attention of many ... See full document

... Conclusion The proposed higher-order finite-difference schemes are easy for implementation and can be used for a numerical solution of two-dimensional coupled Burgers’ equation with high[r] ... See full document

... the nonlinear generalized Burgers-Huxley ...explicit method and the modified local Crank-Nicolson (MLCN) ...forward difference method is been used in the explicit method for the ... See full document

... rotated finite difference discretization to the numerical solution of the nonlinear steady two dimensional Burgers' Equations (1) and (2) and this iterative scheme has shown ... See full document

... viscous Burgers’ equation is an example of an equation that has unstable Galerkin finite element approximation for the convection-dominated ...stabilized finite element method for solving ... See full document

... a coupled system of nonlinear finite difference equations corresponding to a class of periodic- parabolic systems with time delays and with nonlinear boundary conditions in a ... See full document

... results concerning the open reproduction case for structured populations are available. F or a[r] ... See full document

... The method may find broader applications in design of variety of transitional cross-sections in hydraulic ...flow equations in rectangular and curvilinear ...spline equations were applied to ... See full document

... The new existence results are established for a nonlinear ordinary coupled system with nonlinear CBCs. The developed result unifies the treatment of many first-order problems [–]. Examples are ... See full document