From the course: Complete Guide to Differential Equations Foundations for Data Science

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What are numerical methods?

What are numerical methods?

From the course: Complete Guide to Differential Equations Foundations for Data Science

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What are numerical methods?

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- [Instructor] In this chapter, you will explore numerical methods. These methods are great to use when traditional techniques to solve differential equations are inadequate. Let's begin by understanding what numerical methods are. So far, you have explored various techniques to solve differential equations, and these techniques focus on finding an exact solution. But what do you do if these techniques are extremely difficult or impossible to use? Instead of finding an exact solution, you can simply find an approximation utilizing numerical methods. Numerical methods are computational techniques utilized in mathematics to find approximate solutions. These methods are extremely helpful when you are unable to find a solution through traditional analytical techniques like the ones explored prior in this course. Numerical methods often heavily rely on calculators and computers to calculate their results. It is common to have software packages built for numerical methods in fields such as…

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