O'Reilly logo

Java™ Number Cruncher: The Java Programmer's Guide to Numerical Computing by Ronald Mak

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 8. Solving Differential Equations Numerically

We can think of solving differential equations as the inverse of finding the derivative of a function. Given a differential equation (the derivative), a solution is any function that has that derivative. In this chapter, we will deal with only first-order ordinary differential equations (that is, first derivatives only).

For example, a solution of the differential equation[1]

Solving Differential Equations Numerically

is

Solving Differential Equations Numerically

where C is an arbitrary constant. The latter is a solution because its derivative is the differential equation.

Because of ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required