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 
.
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 comments
Loading...
Problem Recent Solvers6
Suggested Problems
-
27704 Solvers
-
422 Solvers
-
First non-zero element in each column
943 Solvers
-
Remove from a 2-D matrix all the rows that contain at least one element less than or equal to 4
139 Solvers
-
Magic is simple (for beginners)
11226 Solvers
More from this Author323
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
