Under the supply chain financial model, financial institutions (such as commercial banks) no longer supply directly to financing companies, but instead face the entire supply chain. Now this model has become a new area to solve the financing difficulties of SMEs. In the supply chain finance system, each node on the chain can pursue its own best interests. The core nodes (commercial banks, small and medium-sized enterprises, third-party logistics companies) can coor-dinate and monitor their behavior with each other, and can achieve mutual benefit and efficient operation of the supply chain. This paper studies the theory of meshless partial differential equa-tions (MPDE), and uses game theory and information economics theories and methods to establish corresponding multiparty game models. The application of this game model to the members of sup-ply chain finance was explored. Mathematical derivation and example analysis prove that the model is reasonable, and it also provides a way to make the supply chain operate most efficiently and max-imize the benefits. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).