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Bessel Function of the First Kind

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A Bessel function of the first kind is a solution to a particular nonlinear second-order differential equation. Bessel functions appear in many physics applications when solving classical partial differential equations in cylindrical coordinates.

Bessel function of the first kind is a college-level concept that would be first encountered in a differential equations course.

Prerequisites

Ordinary Differential Equation: An equality involving a function and its derivatives.
Second-Order Ordinary Differential Equation: A second-order ordinary differential equation is an ordinary differential equation that contains derivatives of second order but of no higher orders.
Series: In mathematics, a series is an (often infinite) sum of terms specified by some rule.

Classroom Articles on Differential Equations (Up to College Level)

  • Differential Equation
  • Partial Differential Equation
  • Euler Forward Method
  • Separation of Variables
  • Fourier Transform
  • Slope Field
  • Laplace Transform