PlanetPhysics/Methods of Solving ODE
There are many different methods of solving ordinary differential equations that occur in physics. These are tabulated here and divided into sections for linear and non-linear ODEs. These sections are further subdivided into exact, numerical and quantitative methods.
Linear ODEs
[edit | edit source]Exact methods
[edit | edit source]- General solution of linear differential equation
- Linear differential equation of first order
- Method of separation of variables
- Method of integrating factors
- Method of undetermined coefficients Frobenius' method Method of Green's functions
Numerical methods
[edit | edit source]- Runge-Kutta method
- Heun method
- Rayleigh-Ritz method
- Monte Carlo methods