Tài liệu Two Point Boundary Value Problems part 1 pptx

... the n 2 component values. In other words, (17 .0.2) converts to a prescription y i (x 1 )=y i (x 1 ;V 1 , ,V n 2 ) i =1, ,N (17 .1. 1) Below, the function that implements (17 .1. 1) will be called ... satisfy B 2k (x 2 ,y 1 ,y 2 , ,y N )=0 k =1, ,n 2 (17 .0.3) There are two distinct classes of numerical methods for solving two point boundary value problems. In the shooting...

Ngày tải lên: 24/12/2013, 12:16

... =0are S 3,4 =1, n−modd S 3,5 =1, n−meven (17 .4.32) At x =1we have E 1, M +1 = y 2,M − y 3,M − c 2 2(m +1) y 1, M (17 .4.33) E 2,M +1 = y 1, M − γ (17 .4.34) Thus S 1, 4 = − y 3,M − c 2 2(m +1) ,S 1, 5 =1, S 1, 6 =− y 1, M 2(m +1) (17 .4.35) S 2,4 =1, S 2,5 =0,S 2,6 =0 ... µ (17 .4 .14 ) Then y  1 = y 2 (17 .4 .15 ) y  2 = 1 1 − x 2  2x(m +1) y 2 −(y 3 −c 2 x 2 )y...

Ngày tải lên: 21/01/2014, 18:20

... 784 Chapter 17 . Two Point Boundary Value Problems Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5) Copyright (C) 19 88 -19 92 by Cambridge University ... Press), pp. 12 9ff. 17 .6 Handling Internal Boundary Conditions or Singular Points Singularities can occur in the interiors of two point boundaryvalue problems. Typically...

Ngày tải lên: 21/01/2014, 18:20

... the n 2 component values. In other words, (17 .0.2) converts to a prescription y i (x 1 )=y i (x 1 ;V 1 , ,V n 2 ) i =1, ,N (17 .1. 1) Below, the function that implements (17 .1. 1) will be called ... Association of America). Keller, H.B. 19 68, Numerical Methods for Two- Point Boundary- Value Problems (Waltham, MA: Blaisdell). 758 Chapter 17 . Two Point Boundary Value...

Ngày tải lên: 24/12/2013, 12:16

... i,nbad,nok; float h1,hmin=0.0,*f1,*f2,*y; f1=vector (1, nvar); f2=vector (1, nvar); y=vector (1, nvar); kmax=0; h1=(x2-x1) /10 0.0; load1(x1,v,y); Path from x1 to xf with best trial values v1. odeint(y,nvar,x1,xf,EPS,h1,hmin,&nok,&nbad,derivs,rkqs); score(xf,y,f1); load2(x2,&v[nn2],y); ... to 17 .1. ) We can therefore define an n 2 -vector V (1) of starting parameters at x 1 ,...

Ngày tải lên: 24/12/2013, 12:16

... details.) 1 1   1 X X X 1 X X X  1   1    1     1 X X X X X 1 X X X X X  1   1    1     1  X X X X X 1    1    1     1 X X X X X 1 X X X X X  1 V V V V V V V V V V V V V V V V V V V V B B B B B B B B B B B B B B B B B B B B X X X X X  1 Figure ......

Ngày tải lên: 24/12/2013, 12:16

... x 1 and the mesh spacing function is superfluous. However, in the actual case at hand we impose the conditions at q =1: x=x 1 ,Q=0 (17 .6 .11 ) at q = M : N(x, y)=0,D(x,y)=0 (17 .6 .12 ) and N − 1 values ... Press), pp. 12 9ff. 17 .6 Handling Internal Boundary Conditions or Singular Points Singularities can occur in the interiors of two point boundary value problems. Typical...

Ngày tải lên: 21/01/2014, 18:20

... l 4  l 3  l 2  l 1  l 0 u         1. 9 on 0, 1 , where l i ∈ C 4−i 0, 1 with l i > 0on0, 1 ,andu0u 1 u  0u  1 0ifand only if  l 0 u  0    l 0 u  1    l 1 u  0    l 1 u  1   0. 1. 10 This ... ρ n D  ρ n 1 ···D  ρ 1 D  ρ 0 y  ···  ,D≡ d dx , 2.3 where ρ 0 ∈ C n−k Ik  0, 1, ,n and ρ 0  1 W 1 ,ρ 1  W 2 1...

Ngày tải lên: 21/06/2014, 16:20

... of second-order two- point boundary value problems Boundary Value Problems 2 012 , 2 012 :13 doi :10 .11 86 /16 87-2770-2 012 -13 Ruyun Ma (mary@nwnu.edu.cn) Bianxia Yang (yanglina7765309 @16 3.com) Guowei ... (daiguowei@nwnu.edu.cn) ISSN 16 87-2770 Article type Research Submission date 16 August 2 011 Acceptance date 10 February 2 012 Publication date 10 February 2 012...

Ngày tải lên: 21/06/2014, 17:20

... γ −α 1 /N > γ/2 and a small num- ber δ>0suchthat(α 1 −δC 1 )(N 1) /N > α 1 /(2NC 2 )and(α 1 −δC 1 )/NC 2 −δC 1 >α 1 / (2NC 2 ). It follows from (4 .12 )that  α 1 −δC 1   b a   X 1 (t) ... Article ID 276 21, 17 pages doi :10 .11 55/2007/276 21 Research Article Solvability for a Class of Abstract Two- Point Boundary Value Problems Derived from O...

Ngày tải lên: 21/06/2014, 22:20