Applied Numerical Analysis

Require

[math.js ( for calculate matrix, ... )](http://mathjs.org/)

Usage

Install math.js via npm :

npm install mathjs

Run javascript file with NodeJS node cal

/* Example cal.js */ 
var ana = require('./ana.js');
var f = function(x){
    // Secant method
    //return 3*x + Math.sin(x) - Math.exp(x);

    // Regula Falsi
    //return Math.pow(x, 3) + (2*Math.pow(x, 2)) - x +5;

    // Newton's method : Exercises -> Section1.3 -> 13
    //return ((4*Math.pow(x, 3)) - 1 - Math.exp(parseFloat(Math.pow(x,2))/2));

    // Mueller's method : 
    return 3*x + Math.sin(x) - Math.exp(x);
};

var g = function(x){
    // Fixed-Point Iteration method
    return Math.sqrt(2*parseFloat(x)+3);
};

//var result = ana.secant(f, 1, 0, 0.0000001);
//var result = ana.regulaFalsi(f, 0, 1, null);
//var result = ana.newton(f, -1, null, null);
//var result = ana.mueller(f, 0.8, 0.9, 1);
var result = ana.fixedPointIteration(g, 4, null);
console.log(result);

// Testing Matrics using math.js
console.log(ana.test());

Support chapter below

1. Solving `Nonlinear` Equations

2. Solving `Sets` of Equations

Coming soon...

3. Interpolation and Curve Fitting

Coming soon...

4. Approximation of Functions

Coming soon...

5. Numerical Differentiation and Integration

Coming soon...

6. Numerical Solution of Ordinary Differential Equations

Coming soon...

7. Optimization

Coming soon...

8. Partial-Differential Equations

Coming soon...

9. Finite-Element Analysis

Coming soon...

Donation

If this project help you reduce time to develop, you can give me a cup of coffee :)

Note

I convert pseudo code from 'Applied Numerical Analysis (7th Edition)' to javascript for my work. I will be happy, if it works for you too.

patharanordev/applied-numerical-analysis