Problem 51322. Solve an ODE: diffusion problem 1

Problem
In the solution of a problem involving diffusion, the following ordinary differential equation arises
f''+a eta f' = 0
where a is a positive constant and primes denote differentiation with respect to the independent variable η. The problem has the conditions f(0) = f0 and f(infinity) = 0.
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.
Solve

Solution Stats

27.27% Correct | 72.73% Incorrect
Last Solution submitted on May 04, 2025

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers6

Suggested Problems

More from this Author312

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!