Problem 51625. Solve an ODE: diffusion problem 2
Problem statement
In the solution of a problem involving diffusion, the following ordinary differential equation arises
where a is a positive constant and primes denote differentiation with respect to the independent variable η. The function f and its derivatives vanish at infinity, and it is subject to the constraint
Write a function to solve this problem—that is, return values of f at specified values of η.
Background
The physical problem involves diffusion of a quantity instantaneously injected at a point—for example, a spill of a contaminant in an initially clean river. The ODE results from transforming the diffusion equation—a partial differential equation in time and a spatial coordinate—with a similarity solution.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers5
Suggested Problems
-
616 Solvers
-
Integer sequence - 2 : Kolakoski sequence
158 Solvers
-
38 Solvers
-
Find my daddy long leg (No 's')
2369 Solvers
-
31 Solvers
More from this Author278
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!