Applied numerical methods with matlab for engineers and scientists

... 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...

Ngày tải lên: 12/08/2014, 16:22

... 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...

Ngày tải lên: 12/08/2014, 16:22

... 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...

Ngày tải lên: 12/08/2014, 16:22

... Print the v and a formulae and compare with % the published results % v, a % % Step 6: Determine a from published formula and v % a2 = g - k * v; 319 Essential MATLAB for Engineers and Scientists ... engaged to close the circuit and initiate the current At this instant of time the voltage is applied to the resistor 311 Essential MATLAB for Engineers and Scientis...

Ngày tải lên: 12/08/2014, 16:22

... matlab\ ops matlab\ lang matlab\ elmat - matlab\ elfun matlab\ specfun matlab\ matfun - matlab\ datafun - matlab\ audio matlab\ polyfun matlab\ funfun - matlab\ sparfun matlab\ graph2d matlab\ graph3d matlab\ specgraph ... = 100 0; for years = : 10 for months = : 12 balance = balance * 1.01; end disp( [years balance] ); end 413 Essential MATLAB for Engineers and...

Ngày tải lên: 12/08/2014, 16:22

... 17 0 17 6 18 0 18 3 18 4 18 5 18 7 18 7 19 5 19 8 19 9 200 202 Element- by -element techniques and Parallel Programming 203 8 .1 8 .1 Introduction The Element by Element Concept 8 .1. 1 Element- by -element storage ... of nodes n n n -1 .0 1. 0 1. 0 -1 .0 0.0 1. 0 0.0 -1 .0 -1 .0 -1 .0 1. 0 1. 0 -1 .0 0.0 1. 0 0.0 N5 ( , ) N1 ( , ) 1 Figure 3.9 S...

Ngày tải lên: 13/08/2014, 08:21

... 21 T 22 (4.39) 82 The Boundary Element Method with Programming v1x 11 v3 x v1 y v2 y v3 y v1z T v2 x v2 z v3 z 2v1x v2 x 12 2v1x v3 x 2v1 y v2 y 2v2 y v3 y 2v1 y v3 y 2v1z v2 z T 2v2 x v3 x 2v2 ... DNi(1,1) - 0.5*DNi(5,1) DNi(1 ,2) = DNi(1 ,2) - 0.5*DNi(5 ,2) DNi (2, 1)= DNi (2, 1) - 0.5*DNi(5,1) DNi (2, 2)= DNi (2, 2) - 0.5*DNi(5 ,2) END IF IF(Inci(6) > 0) THE...

Ngày tải lên: 13/08/2014, 08:21

... % -1 16 24 32 Error % -2 -3 -4 -5 -6 -7 Number of points Figure 5 .3 Plot of error in computing the temperature versus the number of points P 104 The Boundary Element Method with Programming The ... INPUT.DAT 1.0 1.0 32 1.0 0.7 18 -5 -4 .5 -4 -3 .5 -3 -2 .5 -2 -1 .5 1 03 BOUNDARY INTEGRAL EQUATIONS 0 0 0 0 0 -1 1.5 2.5 3. 5...

Ngày tải lên: 13/08/2014, 08:21

... region and (-1 , 0) for sub region If a uniform subdivision is assumed the Jacobian J for the transformation from to is for all regions J K (6 .43 ) 148 The Boundary Element Method with Programming The ... 11 11 11 11 j 21 41 43 22 42 23 k 31 32 33 37 34 35 36 l 21 41 23 43 22 42 180 The Boundary Element Method with Programming We note that for...

Ngày tải lên: 13/08/2014, 08:21

... 59 6 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 59 7 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 59 8 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 59 9 -1 0.0 ... Programming the Finite Element Method J.Wiley Beer G and Watson J.O (1992) Introduction to Finite and Boundary Elements for...

Ngày tải lên: 13/08/2014, 08:21

... 0.142E-03 0.316E-1 1-0 .532E-10 -0 .135 0.137 -0 . 365 0.000 1.20 0.00 0.00 0.127E-0 3-0 . 862 E-12 0.780E-10 -0 .134 0.111 -0 .244 0.000 1.30 0.00 0.00 0.115E-0 3-0 .209E-12 0.486E-10 -0 .121 0.091 -0 .1 76 0.000 ... 0 .60 4 0.30 -0 .107 0.421 0.40 -0 .107 -2 98.89 0.00 0.00 -6 .28 -1 1.88 -6 .28 0.000 -8 .323 0.000 -1 2 .65 8 0.000 -1 5.590...

Ngày tải lên: 13/08/2014, 08:21

... -0 .5012 1.0140E-09 -0 .5011 Results, Element 12 u= 5.5386E-02 -0 .1582 -5 .5386E-02 -0 .1582 1. 079 2E-09 -0 .1582 t= -1 47. 7 5.933 1 47. 7 5.933 -1 .2626E-06 12.060 It can be seen that the maximum displacement ... detail with the treatment of corners in the boundary element method and the efficient analysis of problems with changing geometries...

Ngày tải lên: 13/08/2014, 08:21

... u =-0 .171E-0 2-0 .195E-01 0.612E-0 3-0 .120E-0 1-0 .397E-0 3-0 .142E-01 t= 0.000 0.000 0.000 0.000 0.000 0.000 Results, Element u= 0.612E-0 3-0 .120E-0 1-0 .798E-0 3-0 .156E-01 0 .80 2E-0 3-0 .123E-01 t= 0.000 0.000 ... Coor -1 .00 2.50 Incidences: EL Inci EL Inci Results, Element u =-0 .471E-0 2-0 .245E-0 1-0 .171E-0 2-0 .195E-0 1-0 .323E-0 2-0 .257E-01...

Ngày tải lên: 13/08/2014, 08:21

... stress -( 1+ ( 1- 3-D -1 /8 1-2 7-5 2-1 0 -1 /30( 1- ( 1-3 - /8 The discretized form of (15.43) is E N Pa e n R e ue n n E N e n Se t e n n C N c n ˆ Ec n c 0n F Pa (15.46) 422 The Boundary Element Method ... 14.14 Boundary element mesh 406 The Boundary Element Method with Programming The boundary element mesh consists of regions and...

Ngày tải lên: 13/08/2014, 08:21