Numerical solution of two dimensional time fractional-order biological population model

被引：17
|
作者：
Prakash, Amit [1 ]
Kumar, Manoj [2 ]
机构：
[1] Natl Inst Technol, Dept Math, Kurukshetra 136119, Haryana, India
[2] Natl Inst Technol, Dept Math, Kurukshetra 136119, Haryana, India
来源：
OPEN PHYSICS | 2016年 / 14卷 / 01期
关键词：
Biological population model; Mittag-leffler function; Caputo fractional derivative; Lagrange multiplier; parabolic equation; VARIATIONAL ITERATION METHOD; BURGERS EQUATIONS; APPROXIMATE; DIFFUSION;
D O I：
10.1515/phys-2016-0021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we provide an approximate solution of a parabolic fractional degenerate problem emerging in a spatial diffusion of biological population model using a fractional variational iteration method (FVIM). Four test illustrations are used to show the proficiency and accuracy of the projected scheme. Comparisons between exact solutions and numerical solutions are presented for different values of fractional order alpha.
引用
收藏
页码：177 / 186
页数：10
相关论文
共 50 条
  • [1] TRAVELLING WAVES SOLUTION FOR FRACTIONAL-ORDER BIOLOGICAL POPULATION MODEL
    Khan, Hassan
    Shah, Rasool
    Gomez-Aguilar, J. F.
    Shoaib
    Baleanu, Dumitru
    Kumam, Poom
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 16
  • [2] A Novel Analytical Method for the Exact Solution of the Fractional-Order Biological Population Model
    Elzaki, Tarig M.
    Mohamed, Mohamed Z.
    ACTA MECHANICA ET AUTOMATICA, 2024, 18 (03) : 564 - 570
  • [3] Exact Solutions of Fractional-Order Biological Population Model
    El-Sayed, A. M. A.
    Rida, S. Z.
    Arafa, A. A. M.
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (06) : 992 - 996
  • [4] Exact Solutions of Fractional-Order Biological Population Model
    A.M.A.El-Sayed
    S.Z.Rida
    A.A.M.Arafa
    Communications in Theoretical Physics, 2009, 52 (12) : 992 - 996
  • [5] Numerical Solution of the Fractional Partial Differential Equations by the Two-Dimensional Fractional-Order Legendre Functions
    Yin, Fukang
    Song, Junqiang
    Wu, Yongwen
    Zhang, Lilun
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [6] Numerical approximations to the nonlinear fractional-order Logistic population model with fractional-order Bessel and Legendre bases
    Izadi, Mohammad
    Srivastava, H. M.
    CHAOS SOLITONS & FRACTALS, 2021, 145
  • [7] NUMERICAL SOLUTION OF FRACTIONAL-ORDER POPULATION GROWTH MODEL USING FRACTIONAL-ORDER MUNTZ-LEGENDRE COLLOCATION METHOD AND PADE-APPROXIMANTS
    Asl, E. Hengamian
    Saberi-Nadjafi, J.
    Gachpazan, M.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (02): : 157 - 175
  • [8] An efficient technique for two-dimensional fractional order biological population model
    Veeresha, P.
    Prakasha, D. G.
    INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING, 2020, 11 (01)
  • [9] New Fractional Calculus and Application to the Fractional-order of Extended Biological Population Model
    Neirameh, Ahmad
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (03): : 115 - 128
  • [10] Numerical Modeling of Fractional-Order Biological Systems
    Rihan, Fathalla A.
    ABSTRACT AND APPLIED ANALYSIS, 2013,
12345