immersed boundary method 2d

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... authors traditionally resort to numerical methods such as finite dif- ference methods [12], Runge-Kutta methods [13], finite element methods [14] and spectral methods [4] to solve the governing equations. ... al. Boundary Value Problems 2011, 2011:3 http://www.boundaryvalueproblems.com/content/2011/1/3 Page 5 of 9 RESEARC H Open Access An improved spectral homotopy analysis method for solving boundary ... semi-analytical methods have been proposed and used to find solu- tions to most nonlinear equations. These methods include the Adomian Motsa et al. Boundary Value Problems 2011, 2011:3 http://www.boundaryvalueproblems.com/content/2011/1/3 ©...

Ngày tải lên: 21/06/2014, 02:20

... 1991. 3 E. P. Doolan, J. J. H. Miller, and W. H. A. Schilders, Uniform Numerical Methods for Problems with Initial and Boundary Layers, Boole Press, Dublin, Ireland, 1980. 4 P. A. Farrell, A. F. ... pages doi:10.1155/2010/102484 Research Article Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem Musa C¸ akır Department of Mathematics, Faculty of ... difference schemes for problems with nonlocal boundary conditions,” Informatica, vol. 2, no. 2, pp. 155–170, 1991. 11 A. M. Nakhushev, “Nonlocal boundary value problems with shift and their...

Ngày tải lên: 21/06/2014, 11:20

... nonlinear boundary conditions. This new truncation on the boundary conditions must satisfy similar properties to the ones of the nonlinear part of the equation, that is, 1 the modified nonlinear boundary ... similar argument to the shooting method, that there is at least a pair A, B for which the boundary conditions hold. Mawhin studies in 11 the nonlinear separated boundary conditions g a  u  a  ,u   a    ... solutions that ensure the existence of solutions of nonlinear boundary problems under weaker assumptions. Boundary Value Problems 9 Dirichlet boundary conditions: u  a   p  a, u  a   g  u  a  ,u   a  ,u   b   ,u  b  ...

Ngày tải lên: 21/06/2014, 11:20

... Analysis: Theory, Methods & Applications, vol. 64, no. 6, pp. 1271–1277, 2006. 5 D. Jiang, J. J. Nieto, and W. Zuo, “On monotone method for first and second order periodic boundary value problems ... method and WKB,” Computer Physics Communications, vol. 174, no. 2, pp. 119–126, 2006. 18 P. Amster and P. De N ´ apoli, “A quasilinearization method for elliptic problems with a nonlinear boundary ... three-point boundary value problems,” Nonlinear Analysis: Theory, Methods & Applications, vol. 68, no. 9, pp. 2779– 2790, 2008. 28 M. Pei and S. K. Chang, “A quasilinearization method for...

Ngày tải lên: 21/06/2014, 11:20

... tau methods. Spectral methods have been applied successfully to numerical simulations of many problems in science and engineering, see [12–15]. Spectral tau method is similar to Galerkin methods ... iterative method. The structure of this technique is similar to that of the two-step pro- cedure proposed in [18,20] for the initial boundary value problem and in [21] for the two-point boundary ... differential equa- tions. Boundary Value Problems 2011, 16 (2011). doi:10.1155/2011/829543 15. Liu, GR, Wu, TY: Multiple boundary value problems by differential quadra- ture method. Math. Comput....

Ngày tải lên: 21/06/2014, 17:20

... will be made available soon. Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition Boundary Value Problems 2012, 2012:20 doi:10.1186/1687-2770-2012-20 Liangbing ... research in Boundary Value Problems go to http://www.boundaryvalueproblems.com/authors/instructions/ For information about other SpringerOpen publications go to http://www.springeropen.com Boundary ... with Navier friction boundary conditions. Nonlinearity 19, 899–918 (2006) [6] Xiao, YL, Xin, ZP: On the vanishing viscosity limit for the 3D Navier–Stokes equations with a slip boundary condition....

Ngày tải lên: 21/06/2014, 17:20

... will be made available soon. Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition Boundary Value Problems 2012, 2012:20 doi:10.1186/1687-2770-2012-20 Liangbing ... research in Boundary Value Problems go to http://www.boundaryvalueproblems.com/authors/instructions/ For information about other SpringerOpen publications go to http://www.springeropen.com Boundary ... 76D07. Keywords: Boussinesq system; inviscid limit; slip boundary condition. 1 Introduction Let Ω ⊂ R 2 be a bounded, simply connected domain with smooth boundary ∂Ω, and n is the unit outward normal vector...

Ngày tải lên: 21/06/2014, 20:20

... n, p boundary value problems,” Applied Mathematics Letters, vol. 12, no. 8, pp. 113–119, 1999. 3 R. P. Agarwal and F H. Wong, “Upper and lower solutions method for higher-order discrete boundary ... variational method and critical point theory are employed to investigate the existence of solutions for 2nth-order difference equation Δ n p k−n Δ n y k−n −1 n1 fk, y k 0fork ∈ 1,N with boundary ... shell fixed point theorem 1, 6, Banach contraction map method 7, Leray-Schauder fixed point theorem 2, 10, and the upper and lower solution method 3. It seems that the variational technique...

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... tính của m vector V 1 , V 2 , …, V m như sau: W = a 1 V 1 + a 2 V 2 + …+ a m V m Procedure Combo2D(float a,b vector u,v ,vector &W ); { w.dx:=a*u.dx+b*v.dx; w.dy:=a*u.dy+b*v.dy; } • Tổ hợp ... sánh đối chiếu giữa thuật toán với cơ sở toán học. III.1. CÁC QUAN HỆ HÌNH HỌC TRONG MẶT PHẲNG (2D) 1. Tính góc giữa hai đường thẳng Cơ sở toán học: Đây là ứng dụng quan trọng của tích vô hướng....

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