Abstract
Ordinary differential equations (ODE) occur very commonly in analysis of problems of engineering interest. Analytical solution of such equations is many times difficult or the evaluation using closed form solution itself may be as laborious as a numerical solution. Hence numerical solution of ODE is a topic of much practical utility. We develop numerical methods to solve first order ODEs and extend these to solve higher order ODEs, as long as they are initial value problems (IVP). The following methods of solution of IVPs will be discussed here:•Euler method•Modified Euler or Heun method or the second order Runge Kutta (RK2) method•Runge Kutta methods•Predictor corrector methods•Backward difference formulae based methods (BDF methods)
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