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
-
593 Solvers
-
317 Solvers
-
Extract Built In Functions and Toolbox Functions from String or Function Handle
71 Solvers
-
Set the array elements whose value is 13 to 0
1343 Solvers
-
287 Solvers
More from this Author250
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!