University of TabrizComputational Methods for Differential Equations2345-39829220210401A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems4104261035110.22034/cmde.2020.29291.1412ENMaryamDehghanDepartment of Mathematics, Faculty of Sciences,
Persian Gulf University, Bushehr 75169, Iran.SaeedKarimi JafarbiglooDepartment of Mathematics, Faculty of Sciences,
Persian Gulf University, Bushehr 75169, Iran.Journal Article20180911In this paper, we concern ourselves with the study of a class of stationary states for reaction-diffusion systems with densities having disjoint supports. Major contribution of this work is computing the numerical solution of problem as the rate of interaction between two different species tend to infinity. The main difficulty is the nonlinearity nature of problem. To do so, an efficient iterative method is proposed by hybrid of the radial basis function (RBF) collocation and finite difference (FD) methods to approximate the solution. Numerical results with good accuracies are achieved where the shape parameter is carefully selected. Finally, some numerical examples are given to illustrate the good performance of the method.https://cmde.tabrizu.ac.ir/article_10351_eb1d75eb88216a96cbd77deb15a0c1f1.pdf