Yo, new here and first tab EVAR! Hopefully, it'll be alright.

Standard stuff, nothing too complicated.

Key:
\=slide down
/=slide up
~=hold note
h=hammer
p=pull off
---|
- 0| =Repeat once (but you should know that)
- 0|
---|

Intro: (wait two bars of guitar only)

G|--------------------------|
D|555555555555555555555555\0|
A|--------------------------|
E|--------------------------|
(totally not sure if Tim actually does this, but it sounds okay if you're doing it live.)

Post Chorus:
G|------------------------|
D|------------------------|
A|2------2------2-----2--5|
E|-2-02---2-02---2-02---2-|

Verse:

G|--------|
D|--------|
A|--------|
E|2-2-XXXX| x8
(if you want you can "pick" with your fingers while palm muting the last four "notes". 
totally optional for live preformances)

Pre-Chorus:

G|----------------------------------|
D|----------------------------------|
A|5h7-777--5h7-777--5h7-777--5h7-777|
E|----------------------------------|

Verse

Pre-chorus

Chrous:

G|--------------------||--------------------------|
D|------------------ 0||--------------------------|
A|5~-5-7~-7-4-4-2~-- 0||5-5-5555--7-7-7777--4-4-2~|
E|--------------------||--------------------------|

Post-Chorus: REST (four mesures)

Verse

Pre-Chorus

Verse

Pre-Chorus

Chorus

Solo:
(sounds like Tim is using a Flanger pedal here, but sounds alright without it.)
G|--------------------------|
D|--------------------------|
A|2------2------2------2--5~|
E|-2-02---2-02---2-02---2---|x5

Post-Chorus:

G|-----------------------|  |--------------------------------|
D|-----------------------|  |--------------------------------|
A|5~-5-7~-7--2------2----|x2|5-5-5555--7-7-7777--2------2----|
E|------------2-02---2-02|  |---------------------2-02---2-02|

G|------------------|
D|------------------|
A|5-5-5555--7-7-7777|
E|------------------|

(Rest until drum roll ends)

Pre-Chorus (with the Flanger)

end on A|2~|

recommend it for any band getting started or any new bassist.