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Appendix G: NUMERICAL TECHNIQUES

This appendix shows the various numerical techniques that can be employed in solving design problems, which could pose difficulty if an analytical method is used. The numerical methods can readily be incorporated into computer programs to obtain results of design problems.

H.1 SIMPSON’S RULE FOR AREA UNDER THE CURVE

Simpson’s rule is a numerical integration technique that is widely used in calculating the area under the curve. It is simple and has a greater degree of accuracy than the trapezoidal rule. The Simpson’s 1/3 rule is based on quadratic polynomial interpolation.

Figure H-1 shows a section of a curve and three coordinates erected to it at equally spaced intervals along the x-axis. Simpson’s rule ...

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