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Numerical Methods are used because of following reasons>
1. NO analytical solution of a problem exists.
2. Analytical solution exists but is difficult to find.
3. Due to use of computers, cumbersome calculations can be done easily and solution is reached in shorter duration of time.
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How do you know which Numerical Method to use for which problem?
To know which numerical method to use for a problem one first needs to understand the various methods and evaluate the problems.
What are the applications of numerical method?
Numerical methods are used to find solutions to problems when purely analytical methods fail.
Can you say that an iterative methods to solve a non-linear equation is actually a numerical method?
Yes, you can. Any iterative method/algorithm that is used to solve a continuous mathematics problem can also be called a numerical method/algorithm.
Numerical method for solving can eqution bisection method?
A root-finding algorithm is a numerical method, or algorithm, for finding a value. Finding a root of f(x) − g(x) = 0 is the same as solving the equation f(x) = g(x).
What is the difference between the graphical and numerical methods of finding the solution of an equation?
The graphical method is often approximate but can be applied to any function. If done on a computer, the region surrounding the solution can be enlarged to obtain more accurate estimates. A numerical method will give an exact result is an analytical solution is possible. If not, the solution will depend on the numerical method used and, sometimes, the starting "guesstimate".
