Roots of equation
Roots of equation Bisection Method The simplest root finding algorithm is the bisection method. The algorithm applies to any continuous function f(x) on an interval [a,b] where the value of…
Numerical integration
Numerical integration Trapezoidal Rule: The trapezoid rule in mathematics is a numerical integration method that we use to calculate the approximate value of the definite integral. $$ \int\limits_a^b f(x)dx $$…
Newton’s forward/backward difference
Newton's forward/backward difference: Newton Forward Difference: If the x value of a data set are uniformly spaced then let us define for the data set. $$ S= \frac {x-x_0}{\Delta x}…
Lagrange’s interpolation formula
Lagrange’s interpolation formula The Newton’s forward and backward interpolation formulae can be used only when the values of x are at equidistant. If the values of x are at equidistant…
numerical methods
Introduction Numerical methods are techniques to approximate mathematical procedures (example of a mathematical procedure is an integral). Approximations are needed because we either cannot solve the procedure analytically (example is…