I don't think it would be cost-effective to buy a car/van for a month or two, that is, if you can buy one legally. In certain countries such as the UK where the used-car market is relatively large compared to France for example where used cars are hard to find and expensive for their age and condition, a foreigner can buy and register a vehicle but as a non-resident, getting proper insurance could be problematic and expensive.
On the other hand, if you plan to travel for several months, it might be a good idea to look for a used vehicle in the UK. I have friends who just purchased a nicely-equipped Toyota Hiace camping van in London for 2500 GBP and they will be touring Europe and Eurasia for the next year or two.
For a short period of time (1-2 months), I would recommend renting, along the same lines as what IamLindoro is suggesting. I did that back in the mid-eighties and it was relatively cheap and hassle-free.