TY - JOUR
ID - 8591
TI - Analysis of meshless local radial point interpolant on a model in population dynamics
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Shivanian, Elyas
AU - Fatahi, Hedayat
AD - Department of Applied Mathematics,
Imam Khomeini International University,
Qazvin, 34149-16818, Iran
AD - Department of Mathematics, Baneh Branch,
Islamic Azad University, Baneh, Iran
Y1 - 2019
PY - 2019
VL - 7
IS - 2
SP - 276
EP - 288
KW - Spectral meshless radial point interpolation (SMRPI) method
KW - Radial basis function
KW - Partial integro-differential equation
DO -
N2 - In this work, we present an improvement of the spectral meshless radial point interpolation (SMRPI) method to uncover a simulation behaviour of the population dynamic model which mathematically is the nonlinear partial integro-differential equation. This PDE is a kind of competition strategy in which equivalent individuals match for the same supplies. oreover, this boundary value problem is a particular type of reaction-diffusion problem augmented to an integral term corresponding to the nonlocal consumption of resources. As a result of applying meshless method, it does not matter how the geometry of the domain is complicated because the method enjoys the element free adoption. Applying the SMRPI on the two-dimensional integral equation leads to a linear system of algebraic equations which is easy to treat. Finally, some numeric experiments are presented to show the reliable results.
UR - https://cmde.tabrizu.ac.ir/article_8591.html
L1 - https://cmde.tabrizu.ac.ir/article_8591_fb05fd4443582dedfcf9477f2ed97ef1.pdf
ER -