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Functionally graded material (FGM) is a particular type of composite materials. It is a trend and has been used in many fields, notably in high-temperature environments. Studying the heat transfer problem in this material is very necessary to predict the heat transfer and the temperature distribution field in the engineering structure. In this study, an improved meshless moving Kriging method (MK) is applied to solve the heat transfer problem for FGMs structures in 2D. The main important advantage of MK method is that it satisfies the Kronecker’s delta property and the improvement helps removing the effect of the user numerical experience parameter for MK shape function. In this work, to examine the accuracy of the approach, the results of numerical examples will be compared with articles and commercial software. The numerical results show the good performance and high applicability of the improved MK mothod.
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