Your best best is to set up a secure shell daemon on the system (if it's not already running) and use paswordless keypair authentication. Presuming that `sshd` is already in place, you can log in as `tiger` and run the following commands:
ssh-keygen
ssh-copy-id jenk@localhost
After that, `tiger` will be able to run a command as `jenk` with the following syntax:
ssh jenk@localhost '(some command here)'
For example:
tiger@hostname $ ssh jenk@localhost 'whoami'
jenk
tiger@hostname $