TY - JOUR
ID - 13726
TI - Numerical solutions of a mathematical model of plankton–oxygen dynamics using a meshless method
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Shirzadi, Ahmad
AU - Ghayedi, Shabnam
AU - Safarpoor, Mansour
AU - Bagheri Bardi, Ghorbanali
AD - Department of Mathematics, Persian Gulf University, Bushehr, Iran.
AD - Department of Mathematics, Persian Gulf University, Bushehr, Iran
Y1 - 2018
PY - 2018
VL - 8
IS - 2
SP - 74
EP - 93
KW - Plankton
KW - Global warming
KW - Differential equations
KW - Finite difference methods
KW - Meshless methods
DO - 10.22055/jamm.2018.13726
N2 - This paper is concerned with the numerical solutions of a mathematical model of coupled plankton–oxygen dynamics. About 70% of the atmospheric oxygen is produced by the photosynthetic activity of phytoplankton and the phytoplankton activities are affected by the ocean dynamics. So, the rate of oxygen production depends on water temperature and hence can be affected by the global warming. A mode describing plankton–oxygen dynamics is considered. For discretizing the model which is a system of nonlinear differential equations, a combination of finite differences and meshless methods are used. The time variable is discretized by forward finite difference scheme. Because of the high accuracy of meshless methods, in the space dependent model, a meshless approach is proposed for discretizing the space variable. The method uses the strong form equation and collocation approach for discretization. Multiquadrics radial basis functions are used which have the approximation power of exponential order. Numerical results reveal that in a specific domain of oxygen production the model is stable. Also, it is shown that global warming will affect the system, resulting in the oxygen reduction and plankton extinction.
UR - https://jamm.scu.ac.ir/article_13726.html
L1 - https://jamm.scu.ac.ir/article_13726_9513383a76574b5a4005f46945f8eaab.pdf
ER -