Problem 51322. Solve an ODE: diffusion problem 1
Problem
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 problem has the conditions
and
.
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 from one point where the concentration is maintained at a constant value into a medium in which the concentration is zero far away. 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 Solvers6
Suggested Problems
-
3388 Solvers
-
Number of 1s in a binary string
10312 Solvers
-
914 Solvers
-
854 Solvers
-
Highly divisible triangular number (inspired by Project Euler 12)
122 Solvers
More from this Author311
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!