Numerical simulations of stochastic biochemical oxygen demand equations via RBF method

被引:0
|
作者
Shekarabi F.H. [1 ]
机构
[1] Department of Mathematics, Faculty of Sciences, Shahid Rajaee Teacher Training University, Tehran
关键词
BOD; Itˆo integral; RBFs; stochastic model;
D O I
10.1080/00207233.2022.2108268
中图分类号
学科分类号
摘要
This paper proposes a new approach to numerical simulations of stochastic biochemical oxygen demand equations. The analysis of biochemical oxygen demand is necessary in evaluating the effects of water pollution. Here, we consider radial basis functions. This approximation process can also be interpreted as a simple kind of neural network. An illustrative example is included to demonstrate the validity and applicability of the approach. The numerical experiments show that the method performs well. © 2022 Informa UK Limited, trading as Taylor & Francis Group.
引用
收藏
页码:769 / 776
页数:7
相关论文
共 50 条
  • [21] Finite Element Method for Dissolved Oxygen and Biochemical Oxygen Demand in an Open Channel
    Hasadsri, S.
    Maleewong, M.
    18TH BIENNIAL ISEM CONFERENCE ON ECOLOGICAL MODELLING FOR GLOBAL CHANGE AND COUPLED HUMAN AND NATURAL SYSTEM, 2012, 13 : 1019 - 1029
  • [22] Biochemical oxygen demand measurement by mediator method in flow system
    Liu, Ling
    Bai, Lu
    Yu, Dengbin
    Zhai, Junfeng
    Dong, Shaojun
    TALANTA, 2015, 138 : 36 - 39
  • [23] GRAPHICAL-METHOD FOR CALCULATING BIOCHEMICAL OXYGEN-DEMAND
    KLEIN, RL
    GIBBS, CR
    JOURNAL WATER POLLUTION CONTROL FEDERATION, 1979, 51 (09): : 2257 - 2266
  • [24] Evaluation of an experimental method via numerical simulations
    Schuler, H.
    FRACTURE MECHANICS OF CONCRETE AND CONCRETE STRUCTURES, VOLS 1-3: VOL 1: NEW TRENDS IN FRACTURE MECHANICS OF CONCRETE; VOL 2: DESIGN, ASSESSMENT AND RETROFITTING OF RC STRUCTURES; VOL 3: HIGH-PERFORMANCE CONCRETE, BRICK-MASONRY AND ENVIRONMENTAL ASPECTS, 2007, 1-3 : 607 - 611
  • [25] Numerical Method for Reflected Backward Stochastic Differential Equations
    Martinez, Miguel
    San Martin, Jaime
    Torres, Soledad
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2011, 29 (06) : 1008 - 1032
  • [26] Analyzing the uncorrected error of dilution water demand for the dilution biochemical oxygen demand method
    Chiang, CF
    Wu, YS
    Young, JC
    WATER ENVIRONMENT RESEARCH, 2004, 76 (03) : 238 - 244
  • [27] THE STOCHASTIC METHOD FOR NUMERICAL SIMULATIONS - HIGHER-ORDER CORRECTIONS
    DRUMMOND, IT
    DUANE, S
    HORGAN, RR
    NUCLEAR PHYSICS B, 1983, 220 (01) : 119 - 136
  • [28] A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations
    Bouhamidi, A.
    Hached, M.
    Jbilou, K.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (03) : 238 - 256
  • [29] A general implicit splitting for stabilizing numerical simulations of Ito stochastic differential equations
    Petersen, WP
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (04) : 1439 - 1451
  • [30] SOME EXPERIMENTS ON NUMERICAL SIMULATIONS OF STOCHASTIC DIFFERENTIAL-EQUATIONS AND A NEW ALGORITHM
    PETERSEN, WP
    JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 113 (01) : 75 - 81