Numerical Solutions to Lotka Volterra and Lorens Equations

Lorenz Equations with Python import matplotlib.pyplot as plt import numpy as np vSigma = 10 vBeta = 8/3 vRho = 28 def f1(t,x,y,z): f1 = vSigma*y - vSigma*x return f1 def f2(t,x,y,z): f2 = vRho*x - y - x*z return f2 def f3(t,x,y,z): f3 = -vBeta*z + x*y return f3 print("Sample input: lorenzEquation(0,20,200,5,5,5)") def lorenzEquation(first,second,N,alpha1,alpha2, alpha3): ...

Regula Falsi Or Method of False Position with Python

Regula Falsi or Method of False Position      The regula falsi method iteratively determines a sequence of root enclosing intervals, $(a_n, b_n)$, and a sequence of approximations, which shall be denoted by $p_n$. Similar to the bisection method, the root should be in ther interval...

Regula Falsi or Method of False Position with Scilab

Regula Falsi or Method of False Position      The regula falsi method iteratively determines a sequence of root enclosing intervals, $(a_n, b_n)$, and a sequence of approximations, which shall be denoted by $p_n$. Similar to the bisection method, the root should be in ther interval...

Bisection Method with Python

The Bisection Method      Suppose $f$ is a continuous function defined on the interval $[a, b]$, with $f(a)$ and $f(b)$ of opposite sign. The Intermediate Value Theorem implies that a number p exists in (a, b) with $f( p) = 0$. Although the procedure will work when there is more...

Bisection Method with Scilab

The Bisection Method      Suppose $f$ is a continuous function defined on the interval $[a, b]$, with $f(a)$ and $f(b)$ of opposite sign. The Intermediate Value Theorem implies that a number p exists in (a, b) with $f( p) = 0$. Although the procedure will work when there is more...

Integrating PrimeNG with Angular CLI

1.) Install the dependency, and save it to your project: npm install primeng --save npm install font-awesome --save Once that is installed, you’ll have a ./node_modules/primeng/ directory (and a ./node_modules/font-awesome/ directory) 2.) In your project folder there is a file called styles.css,...

Present and Accumulated Values of an Annuity-Immediate

Problem 15.1 Consider an investment of $5,000 at 6% convertible semiannually. How much can be withdrawn each half−year to use up the fund exactly at the end of 20 years? Solution. 5,000 = Xa_{\overline{40|}0.03} \\ \implies X = 216.31 Problem 15.2 The annual payment on a house is$18,000. If payments are made for 40 years, how much is the house worth assuming annual interest rate of 6%? Solution....