The Magpies initially announced a reciprocal pricing deal to help reduce costs, but only West Bromwich Albion and Swansea City opted to take part.
Tickets for away fans cost £15 in the two fixtures between Newcastle and West Brom this season, while it was £20 for the matches between the Magpies and Swansea.
Each top flight club was given £200,000 by the Premier League at the start of the season to be spent across the next three campaigns in order to boost away supporter numbers. Following supporter feedback on how the club should spend the rest of the fund, Newcastle have opted to discount the tickets for the trips to Stoke and Arsenal by £10.
United are expected to take 3,000 fans on the trip to the Britannia Stadium on April 12, with adult tickets now costing £20, while the match at Arsenal is an 8pm Monday kick-off on April 28, with adult tickets at £25.50.
Junior tickets for the Arsenal game will be effectively free, with just a £1 administration charge per ticket.
As well as supporter feedback, the club took on board views expressed in its official Fans Forum.
As reported in the Shileds Gazette, Thomas Concannon, the away fans representative on the Newcastle United Fans Forum, said: “It’s great to see that the club have taken fans’ concerns on board.
“Subsiding the cost for Stoke makes it that little bit easier for fans for what will hopefully be another huge away following.
“With Arsenal being our fifth midweek away game this season, it’s also a good reward to those who are making the journey to the other end of the country once again.
“Along with the reciprocal deals earlier in the season, this is a nice way to end the remaining away games for loyal travelling fans.”
Newcastle have also invested some of the fund in improving the away supporter facilities at St James’s Park.