SOME NUMERICAL METHODS OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATIONS.
Abstract
Ordinary differenƟal equaƟons (ODEs) are mathemaƟcal models essenƟal for describing systems
that evolve over Ɵme and are applied in solving real-world problems. In this project,the ordinary
differenƟal equaƟons have been derived from natural and physical phenomena.The Euler, EulerCauchy, Runge-KuƩa and finite difference methods have been used to solve these ODEs. These
methods have been applied to solve problems in biology, physics and engineering. The python
programming language has also been used to solve these problems and the results are similar to
the ones obtained from the numerical methods.
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