1. 4/17/2017
Numerical Methods 1

2. 4/17/2017 Figure 14.1 A small displacement on a field line.
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3. 4/17/2017
Figure Generated points on E-field lines (shown thick) and equipotential lines (dotted).
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4. 4/17/2017 Figure 14.3 Computer program for Example 14.1.
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5. 4/17/2017
Figure (Continued)
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6. 4/17/2017
Figure (Continued)
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7. 4/17/2017
Figure (Continued)
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8. 4/17/2017
Figure For Example 14.1; plots of E-field lines and equipotential lines due to (a) two point charges and (b) four point charges
(a two-dimensional quadrupole).
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9. 4/17/2017 Figure 14.5 For Practice Exercise 14.1.
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10. 4/17/2017
Figure Finite difference solution pattern: (a) division of the solution into grid points, (b) finite difference five-node molecule.
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11. 4/17/2017
Figure Finite difference solution pattern for the wave equation: eq. (14.19).
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12. 4/17/2017
Figure For Example 14.2.
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13. 4/17/2017 Figure 14.9 Computer program for Example 14.2.
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14. 4/17/2017
Figure For Example 14.2: plot of F(x). Continuous curve is for N = 10; dashed curve is for N = 4.
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15. 4/17/2017
Figure For Example 14.3.
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16. 4/17/2017
Figure For Example 14.3; the values not crossed out are the solutions after five iterations.
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17. 4/17/2017 Figure 14.13 For Practice Exercise 14.3.
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18. 4/17/2017
Figure For Example 14.4.
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19. 4/17/2017 Figure 14.15 For Example 14.4; a 15 ´ 10 grid.
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20. 4/17/2017 Figure 14.16 Computer program for Example 14.4.
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21. 4/17/2017
Figure (Continued)
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22. 4/17/2017 Figure 14.17 For Practice Exercise 14.4.
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23. 4/17/2017
Figure Thin conducting wire held at a constant potential.
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24. 4/17/2017 Figure 14.19 Division of the wire into N segments.
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25. 4/17/2017
Figure Matlab code for calculating the charge distribution on the wire in Figure
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26. 4/17/2017 Figure 14.21 Plot of rL against y.
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27. 4/17/2017 Figure 14.22 Parallel-plate capacitor; for Example 14.5.
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28. 4/17/2017 Figure 14.23 Subsections i and j; for Example 14.5.
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29. 4/17/2017 Figure 14.24 Matlab program for Example 14.5.
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30. 4/17/2017
Figure (Continued)
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31. 4/17/2017
Figure Parallel conducting wires for Practice Exercise 14.5.
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32. 4/17/2017
Figure A typical finite element subdivision of an irregular domain.
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33. 4/17/2017
Figure Typical triangular element; the local node numbering must be counterclockwise as indicated by the arrow.
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34. 4/17/2017
Figure Shape functions a1 and a2 for a triangular element.
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35. 4/17/2017
Figure Assembly of three elements: i-j-k corresponds to local numbering of the element in Figure
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36. 4/17/2017
Figure For Example 14.6: (a) two-element mesh, (b) local and global numbering of the elements.
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37. 4/17/2017 Figure 14.31 For Practice Exercise 14.6.
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38. 4/17/2017
Figure For Example 14.7: (a) two-dimensional electrostatic problem, (b) solution region divided into 25 triangular elements.
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39. 4/17/2017 Figure 14.33 Computer program for Example 14.7.
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40. 4/17/2017
Figure (Continued)
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41. 4/17/2017 Figure 14.34 For Practice Exercise 14.7.
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42. 4/17/2017
Figure (a) Shielded double trip line with partial dielectric support. (b) Problem in (a) simplified by taking advantage of symmetry.
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43. 4/17/2017 Figure 14.36 Computation molecule for Laplace’s equation.
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44. 4/17/2017
Figure Interface between media of dielectric permittivities e1 and e2.
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45. 4/17/2017
Figure Computation molecules used for satisfying symmetry conditions: (a) ¶V/dx = 0, (b) ¶V/dy = 0.
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46. 4/17/2017
Figure The rectangular path ℓ used in calculating a charge enclosed.
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47. 4/17/2017 Figure 14.40 Matlab code for Example 14.8.
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48. 4/17/2017
Figure (Continued)
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49. 4/17/2017
Figure (Continued)
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50. 4/17/2017 Figure 14.41 For Review Questions 14.3 and 14.10.
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51. 4/17/2017
Figure Finite difference grid in cylindrical coordinates; for Problem 14.5.
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52. 4/17/2017
Figure For Problem 14.7.
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53. 4/17/2017
Figure For Problem 14.9.
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54. 4/17/2017
Figure For Problem
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55. 4/17/2017
Figure For Problem
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56. 4/17/2017
Figure For Problem
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57. 4/17/2017
Figure For Problem
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58. 4/17/2017
Figure For Problem
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59. 4/17/2017
Figure For Problem
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60. 4/17/2017
Figure For Problem
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61. 4/17/2017
Figure For Problem
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62. 4/17/2017
Figure Analysis of strip transmission line using moment method; for Problem
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63. 4/17/2017
Figure For Problem
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64. 4/17/2017
Figure For Problem 14.23; coaxial line of (a) arbitrary cross section, (b) elliptical cylindrical cross section.
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65. 4/17/2017
Figure For Problem
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66. 4/17/2017
Figure For Problem
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67. 4/17/2017 Figure 14.58 Triangular elements of Problem 14.26.
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68. 4/17/2017
Figure For Problem
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69. 4/17/2017
Figure For Problem
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70. 4/17/2017
Figure For Problem
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71. 4/17/2017
Figure For Problem
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72. 4/17/2017 Figure 14.63 For Problems 14.31 and 14.32.
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73. 4/17/2017
Figure For Problem
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74. 4/17/2017
Figure For Problem
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75. 4/17/2017
Figure For Problem
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76. 4/17/2017
Figure For Problem
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77. 4/17/2017
Figure For Problem
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