Numerical Methods

Learn about and use different numerical methods to solve various mathematical problems.

Designed and developed by Faruq Bakare (BlessTheBoy) and Dr. Gbeminiyi Sobamowo.

Graphs

2D Graph Plotter
3D Graph Plotter

Roots of Equations - Bracketing Methods

Bisection / Bolzano’s methodFalse Postion methodModified False Postion method

Roots of Equations - Open Methods

Simple Fixed Point MethodNewton-Raphson MethodSecant MethodModified Secant Method

Roots of Equations - Hybrids

Brent's Method

Roots of Equations - Multiple Roots

Modified Newton-Raphson Method

Systems of Non-Linear Equations

Fixed Point MethodNewton-Raphson Method

Roots of Polynomials

Muller's Method
Bairstow's Method

Curve Fitting

Least-Squares Regression
Multiple Least-Squares Regression

Numerical Differentiation and Integration

Newton-Cotes Integration Formulas

Trapezoidal RuleSimpson’s 1/3 RuleSimpson’s 3/8 RuleBoole’s RuleHigh-Accuracy Differentiation FormulasRichardson Extrapolation
Solving unevenly spaced data

Ordinary Differential Equations

Euler’s MethodHeun’s MethodThe Midpoint (or Improved Polygon) MethodSecond-Order Runge-Kutta: Ralston’s MethodThird-Order Runge-Kutta MethodFourth-Order Runge-Kutta MethodFifth-Order Runge-Kutta: Butcher’s Method

Systems of ODEs

Euler’s MethodHeun’s MethodThe Midpoint (or Improved Polygon) MethodSecond-Order Runge-Kutta: Ralston’s MethodThird-Order Runge-Kutta MethodFourth-Order Runge-Kutta MethodFifth-Order Runge-Kutta: Butcher’s Method

Boundary & Eigen Value Problem

Finite Difference Method

Partial Differential Equations

Finite Difference: Elliptic EquationsParabolic Equations: Explicit MethodParabolic Equations: Implicit Method