TY - JOUR
ID - 6823
TI - A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Reihani, Parastoo
AD - Department of Mathematics, Payame Noor University, Tehran, Iran
Y1 - 2018
PY - 2018
VL - 6
IS - 1
SP - 98
EP - 110
KW - Ecological phenomena
KW - Reaction-diffusion
KW - Invasion
KW - RBF collocation
KW - Finite differences method
DO -
N2 - This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower.The mathematical modelling of invasions of species in more complex settings that include interactions between species may restricts to pairwise interactions. Three mathematical models of invasions of species in more complex settings that include interactions between species are introduced. For one of these models in general form a computational approach based on finite difference and RBF collocation method is established. To numerical solution first we discretize the proposed equations by using the forward difference rule for time derivatives and the well known Crank-Nicolson scheme for other terms between successive time levels. To verify the ability and robustness of the numerical approach, two test problems are investigated.
UR - https://cmde.tabrizu.ac.ir/article_6823.html
L1 - https://cmde.tabrizu.ac.ir/article_6823_ea8363cff773d29fc020b0d107779c5a.pdf
ER -