The meshless method for solving the inverse heat conduction problem with a source parameter. (Chinese. English summary) Zbl 1150.80304

Summary: In this paper, the finite point method is used to obtain the solution of a one-dimensional inverse heat conduction problem with a source parameter, and the corresponding discrete equations are obtained. Compared with the numerical methods based on mesh, the finite point method only needs the scattered nodes instead of meshing the domain of the problem. The finite point method is a meshless method in which the moving least-square approximation is used to form the meshless approximation functions. And the collocation method is used to discretize the governing partial differential equations. The finite point method has the advantages of simpler numerical procedures, lower computation cost and arbitrary nodes. The result of a numerical example is presented to show the method is effective.


80A20 Heat and mass transfer, heat flow (MSC2010)
80M25 Other numerical methods (thermodynamics) (MSC2010)