why numerical methods are used ?
Answers
Answer:
Explanation:
Numerical Methods are mathematical way to solve certain problems. Whether the equations are linear or nonlinear, efficient and robust numerical methods are required to solve the system of algebraic equations. Analytical solutions are exact solutions based on mathematical principles.
Numerical methods provide a way to solve problems quickly and easily compared to analytic solutions. Whether the goal is integration or solution of complex differential equations, there are many tools available to reduce the solution of what can be sometimes quite difficult analytical math to simple algebra.
Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). ... For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient.
Answer:
to solve certain problems numerically