Applied numerical methods with matlab for engineers and scientics 4th chapra

APPLIED NUMERICAL METHODS USING MATLAB phần 2 potx

APPLIED NUMERICAL METHODS USING MATLAB phần 2 potx

... a11 a 12 r1  (2) (2) (1) r2 →  a21 a 22  (1) (1) (1) (1) (2) (2) r3 − a 32 /a 22 × r2 → a31 a 32 (1) rows, we perform pivoting at a 22    (2) (2) (2) 1 : r1 a13 b1    (2) (2) (2) a23 b2  = ... applying Eq (2. 2 .2) to get  (2)  (1) (2) (2) (2) → a11 a 12 a13 b1 r1  (2)  (1) (1) (1) (1) (2) (2) (2) r2 − a21 /a11 × r1 →  a21 a 22 a23 b2    (1) (1) (1) (1) (2) (2) (2) (...
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APPLIED NUMERICAL METHODS USING MATLAB phần 3 docx

APPLIED NUMERICAL METHODS USING MATLAB phần 3 docx

... dy2 − (S3,2 + 2S2,2 ) = − S1,2 − S0,2 − ( 3) = = =2 3h0 S2,2 − S1,2 3 − = = = −2 3h1 S3,2 − S2,2 − ( 3) =2 = = 3h2 (3 + × ( 3) ) = (E3 .3. 7a) ( 3 + × 3) = (E3 .3. 7b) (3 + × ( 3) ) = (E3 .3. 7c) S0,1 ... a12   a 13 a14 a12 a22 a 23 a24 a 13 a 23 a 33 a34    a14 0 u11 u12 u 13 u11 a24   u12 u22 0   u22 u 23 =  a34   u 13 u 23 u 33   0 u 33 a44 0 u14 u24 u34 u...
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APPLIED NUMERICAL METHODS USING MATLAB phần 4 pot

APPLIED NUMERICAL METHODS USING MATLAB phần 4 pot

... 147 CURVE FITTING 8 6 4 2 0 −2 −2 4 4 −2 (a) Polynomial of degree 4 4 0 −2 4 −2 (d) Polynomial of degree 4 −2 (b) Polynomial of degree −2 4 4 −2 (c) Polynomial of degree 4 4 Figure ... convenient to use the MATLAB built-in command “roots()” 1.55 1.55 y =x y =x 1.5 1.5 y = gb (x ) 1 .45 1.0000 1.5000 1.3750 1 .42 97 1 .40 77 1 .4 1.35 x0 1.0000 1.5000 1 .41 67 1 .41 42 1 .41 4...
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APPLIED NUMERICAL METHODS USING MATLAB phần 5 pptx

APPLIED NUMERICAL METHODS USING MATLAB phần 5 pptx

... 0.6706029729 −0.03 650 380828 0.70 355 94917 0.032 956 5188 −0.00 354 728 950 h2 = 0.0100000000 0.706 753 1100 0.0031936183 −0.000 353 67121 h3 = 0.0010000000 0.7070714247 0.0003183147 −0.0000 353 5 652 h4 = 0.0001000000 ... results >>nm540 dfx( 0.7 854 0) = 0.689072 (error: -0.0180 35) %with x = [1:3]*pi/8 dfx( 0.7 854 0) = 0.70 655 6 (error: -0.00 055 0) %with x = [0:4]*pi/8 dfx( 0.7 854 0)...
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APPLIED NUMERICAL METHODS USING MATLAB phần 6 docx

APPLIED NUMERICAL METHODS USING MATLAB phần 6 docx

... Table P5 .6 Results of Applying Various Numerical Integration Methods for Improper Integrals Simpson (P5 .6. 1) adaptive 8.5740e-3 quad Gauss 1.9135e-1 (P5 .6. 2) 6. 6730e -6 S&S a&a q&q 1.1 969 e+0 2.4830e-1 ... 4.0250e-02 6. 867 8e-05 (8), b = 10 7.5719e-11 1.5343e- 06 1.2713e-01 1.2702e-02 (a = 10−4 ) (6) , b = 103 quad quadl (tol = 10 6 ) (tol = 10 6 ) 2 .64 43e-07 4.0250e-02 5...
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APPLIED NUMERICAL METHODS USING MATLAB phần 7 doc

APPLIED NUMERICAL METHODS USING MATLAB phần 7 doc

... 0, x2 = −λ/2 (E7.1.5b) (7. 2.3b) x1 + x2 − = = = (E7.1.5a,b) → (E7.1.5a) = (7. 2.3a) (E7.1.5c) −λ/2 − λ/2 = −λ = 2, −λ/2 = 1, x2 (E7.1.5b) = λ = −2 (E7.1.6) −λ/2 = (Fig 7. 10) (E7.1 .7) In this example, ... We made a MATLAB Applied Numerical Methods Using MATLAB , by Yang, Cao, Chung, and Morris Copyright  2005 John Wiley & Sons, Inc., ISBN 0- 471 -69833-4 321 322 OPTIMIZATION pr...
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APPLIED NUMERICAL METHODS USING MATLAB phần 8 pot

APPLIED NUMERICAL METHODS USING MATLAB phần 8 pot

...  +   u(t) (P8 .8. 2a) x3 (t) −a1 −a2   x1 (t) ]  x2 (t)  (P8 .8. 2b) x3 (t) The characteristic equation of the differential equation (P8 .8. 1) is s + a2 s + a1 s + a0 = (P8 .8. 3) and its roots ... the symbolic computation of MATLAB by running the following program “nm8p08a.m” 3 98 MATRICES AND EIGENVALUES %nm8p08a syms a0 a1 a2 s A =[0 0;0 1;-a0 -a1 -a2]; %(P8 .8. 2a) det(s*eye(s...
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APPLIED NUMERICAL METHODS USING MATLAB phần 9 docx

APPLIED NUMERICAL METHODS USING MATLAB phần 9 docx

... 19; 13 17 19; 1 13 19; 1 13 15;7 22;8 22; 22 24 ;9 10 24; 10 19 24; 19 20 24;7 19 20; 20 22;13 14 18; 14 15 16;16 17 18;20 21 25;21 22 23;23 24 25;14 26 28; 16 26 27;18 27 28; 21 29 31;23 29 30;25 ... 7/16; -9/ 16 -17/32;-7/16 -17/32; -1/2 -7/16 ;9/ 16 17/32;7/16 17/32;1/2 7/16]; %nodes N_b = 12; %the number of boundary nodes S = [1 11 12;1 11 19; 10 11 19; 4 19; 5 19; 7;1 15; 15; 15 17...
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APPLIED NUMERICAL METHODS USING MATLAB phần 10 pot

APPLIED NUMERICAL METHODS USING MATLAB phần 10 pot

... Recktenwald, G W., Numerical Methods with MATLAB, Prentice-Hall, Upper Saddle River, NJ, 2000 [S-1] Schilling, R J., and Harris, S L., Applied Numerical Methods for Engineers Using MATLAB and C, Brooks/Cole, ... on the matrices in sparse forms >>As = sprandn (10, 10,0.2); %a sparse matrix and >>Af = full(As); its full version Applied Numerical Methods Using MATLAB , by...
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Essential MATLAB for Engineers and Scientists PHẦN 3 pdf

Essential MATLAB for Engineers and Scientists PHẦN 3 pdf

... vector, and uses a for loop to calculate and display the total charge for each one: 200, 500, 700, 1000, 1500 (Answers: $9, $15, $25, $40, $90) 83 Essential MATLAB for Engineers and Scientists 2. 23 ... Figures 3. 1 and 3. 2, respectively, were produced Projectile flight path, Vo ϭ 10 uo ϭ 45Њ 2.5 y 1.5 0.5 0 x Figure 3. 1 Projectile trajectory 93 10 12 Essential...
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Essential MATLAB for Engineers and Scientists PHẦN 4 pot

Essential MATLAB for Engineers and Scientists PHẦN 4 pot

... For example, the functions zeros, ones and rand generate matrices of 1’s, 0’s and random numbers, respectively With a single argument n, they generate 149 Essential MATLAB for Engineers and Scientists ... 3]) = b(:, [4 2]) replaces the first and third columns of a by the fourth and second columns of b (a and b must have the same number of rows) 145 Essential MATLAB...
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Essential MATLAB for Engineers and Scientists PHẦN 6 pptx

Essential MATLAB for Engineers and Scientists PHẦN 6 pptx

... 2.031250000000000e-001 4.73 760 9329445558e-003 2.7790 866 665 71118e-0 06 9.583445148 564 351e-013 -4.44089209850 062 6e-0 16 Zero found at 1.21341 166 2 762 230e+000 Note: ➤ The variable y in the function files f.m and df.m ... the mean (avg) and standard deviation (stdev) of the values in the vector x Although there are 233 Essential MATLAB for Engineers and Scientists two...
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