Abstract: There are two main objectives of this Research. Firstly, it aims to numerically solve problems under convection-diffusion category by RBF-collocation type of meshfree method. Secondly, the research proposes a simple but effective automatic node adaptive algorithm which is constructed and also embedded in the computing process. The two main tasks are combined forming what we name as an automatic ‘Centroid-Node Adaptive Meshless (CNAM)’ method. All solutions obtained using CNAM are validated again other numerical work, corresponding exacts and also those obtained without CNAM (or with conventional nodes). It has been clearly shown from all examples that CNAM is capable of reproducing some challenging physics phenomenon such as boundary layers with satisfactory level of accuracy.