Analytical vs Numerical Solutions Explained | MATLAB Tutorial

Explaining the difference between Analytic and Numeric Solutions. What are they, why do we care, and how do we interpret these computational solutions? Beginner tutorial with examples.

Analytical Solutions come from manually solving mathematical expressions and are the true solution.

Numerical / Computational Solutions come from iterating over calculated values and serve to get close to the true solution.

0:09 Analytical and Numerical Solutions by Definition
0:41 Why do we care about Numerical Solutions?
0:57 Analytical Solution Example
1:40 Numerical Solution Example
2:50 Exploring the iterations in Numerical Solutions (why it's different from Analytical)
3:54 Is the Numeric Solution 'Good Enough'?
4:10 Generating more Accurate Numerical Solutions
4:40 Considering Computational Resources in Numerical Solutions
5:35 Time Elapsed between parts of code (tic and toc)

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[mizanloveskorea-mlk]

You are the great sir. Thanks for the nice work.. Looking for

[felix]

nice Video Phil, keep up the great work

[moatazhassan]

Could u demonstrate the duration and time functions on matlab?