Numerical Analysis – C++ Programs for various techniques

Algebraic and transcendental equations

  1. To find the roots of an equation(algebraic or transcendental) by Bisection Method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  2. To find the roots of an equation(algebraic or transcendental) by Secant Method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  3. To find the roots of an equation(algebraic or transcendental) by Newton-Raphson Method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)

Linear Equations & Eigenvalue Problem

  1. To find the roots of linear  equations by Gauss Elimination Method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  2. To find the roots of linear equations by Gauss Seidel Iterative Method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  3. To find the eigen value and eigen vector of matrix by iterative method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)

Interpolation:

  1. To find the forward difference table from a given set of data values.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  2. To find the backward difference table from a given set of data values.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)

Curve fitting

  1. To fit a straight line to a given set of data values.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  2. To fit a polynomial to a given set of data values.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  3. To fit an exponential function to a given set of data values.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)

Differentiation

  1. To find the first and second derivatives near the beginning of the table values of (x,y).
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  2. To find the first and second derivatives near the end of the table values of (x,y).
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)

Integration

  1. To evaluate a definite integral by trapezoidal rule.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  2. To evaluate a definite integral by Simpson’s 1/3 Rule.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  3. To evaluate a definite integral by Simpson’s 3/8 Rule.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  4. To evaluate a definite integral by Gauss Quadrature Rule.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)

Differential Equations

  1. To solve a differential equation by Euler’s Method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)
  2. To solve a differential equation by Modified Euler’s Method.
    Links:               C++ Program               Lab Write-Up(Flow-Chart and Algorithm)

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3 thoughts on “Numerical Analysis – C++ Programs for various techniques

  1. Hello Manas, really interesting posts you have here. I myself am trying to work on numerical simulations in C++. I wanted to ask if you have any positive leads on plotting the data for graphs. I have tried some resources but have come up empty. I am working on a windows computer using VSCode. Please do let me know if you have any positive leads.

    Thank you

    Best Regards
    Ujjwal Kanth

      1. Thank you very much for your reply. I was actually looking for some interface based plotting libraries and I can see that you are directly plotting from gnuplot bash. If possible would recommend any such libraries (gnuplot or matplotlib). I have tried some of them but I am facing problems installing and running them.

        Thank you for your time.

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