Solving Nonlinear Diffusion Equations without Stochastic Homogeneity Using the Homotopy Perturbation Method

被引：0
|
作者：
El-Tawil, Magdy A. [1 ]
Al-Mulla, Noha [2 ]
机构：
[1] Cairo Univ, Fac Engn, Dept Math, Giza 12211, Egypt
[2] King Faisal Univ, Fac Sci, Dept Math, Dammam, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2009年 / 10卷 / 05期
关键词：
HEAT-EQUATION; NOISE;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the diffusion equations under square and cubic nonlinearities without stochastic homogeneity are solved using the homotopy perturbation method (HPM). The solution average is computed up to fourth order approximation while the covariance is computed up to second order approximation only. The method of analysis is illustrated through case studies and figures.
引用
收藏
页码：687 / 698
页数：12
相关论文
共 50 条
  • [21] Homotopy Perturbation Method for Solving Partial Differential Equations
    Mohyud-Din, Syed Tauseef
    Noor, Muhammad Aslam
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (3-4): : 157 - 170
  • [22] New Homotopy Perturbation Method for Solving Nonlinear Differential Equations and Fisher Type Equation
    Fatima, Nahid
    2017 IEEE INTERNATIONAL CONFERENCE ON POWER, CONTROL, SIGNALS AND INSTRUMENTATION ENGINEERING (ICPCSI), 2017, : 1669 - 1673
  • [23] HOMOTOPY PERTURBATION TRANSFORM METHOD FOR SOLVING SYSTEMS OF NONLINEAR PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS
    Kehaili, Abdelkader
    Benali, Abdelkader
    Hakem, Ali
    JOURNAL OF SCIENCE AND ARTS, 2021, (02): : 355 - 364
  • [24] HOMOTOPY PERTURBATION METHOD FOR SOLVING A NONLINEAR SYSTEM FOR AN EPIDEMIC
    Alshomrani, Nada A. M.
    Alharbi, Weam G.
    Alanazi, Ibtisam M. A.
    Alyasi, Lujain S. M.
    Alrefaei, Ghadi N. M.
    Alamri, Seada A.
    Alanzi, Asmaa H. Q.
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2024, 31 (03): : 347 - 355
  • [25] Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method
    Balci, Mehmet Ali
    Yildirim, Ahmet
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2011, 66 (1-2): : 87 - 92
  • [26] Application of homotopy perturbation method for solving nonlinear fractional heat-like equations using Sumudu transform
    Khader, M.M. (mohamed.khader@fsc.hu.edu.eg), 2017, Sharif University of Technology (24)
  • [27] Application of homotopy perturbation method for solving nonlinear fractional heat-like equations using Sumudu transform
    Khader, M. M.
    SCIENTIA IRANICA, 2017, 24 (02) : 648 - 655
  • [28] New iterative methods for solving nonlinear equation by using homotopy perturbation method
    Noor, Muhammad Aslam
    Khan, Waseem Asghar
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3565 - 3574
  • [29] Application of homotopy perturbation method to nonlinear wave equations
    He, JH
    CHAOS SOLITONS & FRACTALS, 2005, 26 (03) : 695 - 700
  • [30] HOMOTOPY PERTURBATION METHOD FOR SOLVING SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
    Mohyud-Din, Syed Tauseef
    Yildirim, Ahmet
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2009, 2 (04) : 657 - 665
12345