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Path planning for mobile robot is one of the most fundamental and complex problems in robotics. PDE (partial differential equations) methods have been used in a variety of natural science areas, such as mechanics, calorific and so on. Based on introduction of the basic principle of PDE method and some traditional solutions of path planning, the PDE model for path planning is presented. The adaptive mesh is used to solve the PDE model for path planning. The calculation results are given and compared with other path planning methods. Theory and calculation results prove that, as a new method for mobile robot path planning, the PDE method for mobile robot path planning is feasible and effective.