Ferdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69775220151001An adaptive meshless method of line based on radial basis functions45582445010.22067/ijnao.v5i2.35815ENJ.BiazarDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.0000-0001-8026-2999M.HosamiDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.Journal Article19700101In this paper, an adaptive meshless method of line is applied to distribute the nodes in the spatial domain. In many cases in meshless methods, it is also necessary for the chosen nodes to have certain smoothness properties. The set of nodes is also required to satisfy certain constraints. In this paper, one of these constraints is investigated. The aim of this manuscript is the implementation of an algorithm for selection of the nodes satisfying a given constraint, in the meshless method of line. This algorithm is applied to some illustrative examples to show the efficiency of the algorithm and its ability to increase the accuracy.https://ijnao.um.ac.ir/article_24450_1e593529861d49d9fc14c990c4d5cc31.pdf