Program 2.B: Millikan experiment with a direct linear fit. Program 2.4: Derivatives with the three-point formulas. Program 2.5: Integration with the Simpson rule. Program 2.6: Root Search with the bisection method. Program 2.7: Root Search with the Newton method. Program 2.8: Root Search with the secant method. Program 2.9: Bond length of NaCl. Introduction.: One-dimensional motion under a harmonic force (appeared in the book). Basic Numerical Methods.: Lagrange interpolation with the Aitken method (appeared in the book). The FORTRAN programs for some Numerical Method in. = 3 x + sin x − e x using Secant method in the. Documents Similar To Fortran Numerical Analysis Programs. Fortran 90 has many new features that make it a modern and robust language for numerical programming. In addition to providing many new language con-structs, Fortran 90 contains Fortran 77 as a subset (except for four small in-consistencies). Consequently, all Fortran 77 programs can be compiled and should produce identical results.
In the following table, each line/entry contains the program file name and a brief description.Secant Method Pdf
Click on the program name to display the source code, which can be downloaded. '
Secant Method On Youtube
| Chapter 1: Mathematical Preliminaries and Floating-Point Representation | ||
| first.f | First programming experiment | |
| pi.f | Simple code to illustrate double precision | |
| xsinx.f | Example of programming f(x) = x - sinx carefully | |
| Chapter 2: Linear Systems | ||
| ngauss.f | Naive Gaussian elimination to solve linear systems | |
| gauss.f | Gaussian elimination with scaled partial pivoting | |
| tri_penta.f | Solves tridiagonal systems | |
| Chapter 3: Locating Roots of Equations | ||
| bisect1.f | Bisection method (versin 1) | |
| bisect2.f | Bisection method (version 2) | |
| newton.f | Sample Newton method | |
| ` secant.f | Secant method | |
| Chapter 4: Interpolation and Numerical Differentiation | ||
| coef.f | Newton interpolation polynomial at equidistant pts | |
| deriv.f | Derivative by center differences/Richardson extrapolation | |
| Chapter 5: Numerical Integration | ||
| sums.f | Upper/lower sums experiment for an integral | |
| trapezoid.f | Trapezoid rule experiment for an integral | |
| romberg.f | Romberg arrays for three separate functions | |
| rec_simpson.f | Adaptive scheme for Simpson's rule | |
| Chapter 6: Spline Functions | ||
| spline1.f | Interpolates table using a first-degree spline function | |
| spline3.f | Natural cubic spline function at equidistant points | |
| bspline2.f | Interpolates table using a quadratic B-spline function | |
| schoenberg.f | Interpolates table using Schoenberg's process | |
| Chapter 7: Initial Values Problems | ||
| euler.f | Euler's method for solving an ODE | |
| taylor.f | Taylor series method (order 4) for solving an ODE | |
| rk4.f | Runge-Kutta method (order 4) for solving an IVP | |
| rk45.f | Runge-Kutta-Fehlberg method for solving an IVP | |
| rk45ad.f | Adaptive Runge-Kutta-Fehlberg method | |
| taylorsys.f | Taylor series method (order 4) for systems of ODEs | |
| rk4sys.f | Runge-Kutta method (order 4) for systems of ODEs | |
| amrk.f | Adams-Moulton method for systems of ODEs | |
| amrkad.f | Adaptive Adams-Moulton method for systems of ODEs | |
| Chapter 8: More on Systems of Linear Equations | ||
| Chapter 9: Least Squares Methods | ||
| Chapter 10: Monte Carlo Methods and Simulation | ||
| test_random.f | Example to compute, store, and print random numbers | |
| coarse_check.f | Coarse check on the random-number generator | |
| double_integral.f | Volume of a complicated 3D region by Monte Carlo | |
| volume_region.f | Numerical value of integral over a 2D disk by Monte Carlo | |
| cone.f | Ice cream cone example | |
| loaded_die.f | Loaded die problem simulation | |
| birthday.f | Birthday problem simulation | |
| needle.f | Buffon's needle problem simulation | |
| two_die.f | Two dice problem simulation | |
| shielding.f | Neutron shielding problem simulation | |
| Chapter 11: Boundary Value Problems | ||
| bvp1.f | Boundary value problem solved by discretization technique | |
| bvp2.f | Boundary value problem solved by shooting method | |
| Chapter 13: Partial Differential Equations | ||
| parabolic1.f | Parabolic partial differential equation problem | |
| parabolic2.f | Parabolic PDE problem solved by Crank-Nicolson method | |
| hyperbolic.f | Hyperbolic PDE problem solved by discretization | |
| seidel.f | Elliptic PDE solved by discretization/ Gauss-Seidel method | |
| Chapter 13: Minimization of Functions | ||
| Chapter 14: Linear Programming Problems | ||
Secant Method Example
Addditional programs can be found at the textbook's anonymous ftp site:
Fortran Program For Secant Method Numerical Formula
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Fortran Program For Secant Method Numerical Expressions
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