메뉴 건너뛰기




Volumn 37, Issue 6, 2013, Pages 3660-3673

Comparison between variational iteration method and homotopy perturbation method for thermal diffusion and diffusion thermo effects of thixotropic fluid through biological tissues with laser radiation existence

Author keywords

Harries model; Homotopy perturbation method; Laser; Thermal diffusion; Thixotropic; Variational iteration method

Indexed keywords

BIO-HEAT TRANSFER; BIOLOGICAL TISSUES; DIFFUSION-THERMO EFFECTS; FLUID TEMPERATURES; HOMOTOPY PERTURBATION METHOD (HPM); MODEL PARAMETERS; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; THIXOTROPIC; THIXOTROPIC FLUIDS; TISSUE TEMPERATURES; VARIATIONAL ITERATION METHOD;

EID: 84872596054     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.07.016     Document Type: Article
Times cited : (13)

References (29)
  • 1
    • 0033624371 scopus 로고    scopus 로고
    • A mixed-penalty biphasic finite element formulation incorporating viscous fluids and material interfaces
    • Chan B., Donzelli P.S., Spilker R.L. A mixed-penalty biphasic finite element formulation incorporating viscous fluids and material interfaces. Annals of Biomedical Engineering 2000, 28:589-597.
    • (2000) Annals of Biomedical Engineering , vol.28 , pp. 589-597
    • Chan, B.1    Donzelli, P.S.2    Spilker, R.L.3
  • 2
    • 60349095466 scopus 로고    scopus 로고
    • Knee model of hydrodynamic lubrication during the gait cycle and the influence of prosthetic joint conformity
    • Pascau A., Guardia B., Puertolas J.A., Barrena E.G. Knee model of hydrodynamic lubrication during the gait cycle and the influence of prosthetic joint conformity. Journal of Orthopaedic Science 2009, 14:68-75.
    • (2009) Journal of Orthopaedic Science , vol.14 , pp. 68-75
    • Pascau, A.1    Guardia, B.2    Puertolas, J.A.3    Barrena, E.G.4
  • 3
    • 67349177544 scopus 로고    scopus 로고
    • The role of interstitial fluid pressurization in articular cartilage lubrication
    • Ateshian G. The role of interstitial fluid pressurization in articular cartilage lubrication. Journal of Biomechanics 2009, 42:1163-1176.
    • (2009) Journal of Biomechanics , vol.42 , pp. 1163-1176
    • Ateshian, G.1
  • 4
    • 67349250121 scopus 로고    scopus 로고
    • An axisymmetric dual-phase-lag bioheat model for laser heating of living tissues
    • Zhou J., Zhang Y., Chen J.K. An axisymmetric dual-phase-lag bioheat model for laser heating of living tissues. International Journal of Thermal Sciences 2009, 48:1477-1485.
    • (2009) International Journal of Thermal Sciences , vol.48 , pp. 1477-1485
    • Zhou, J.1    Zhang, Y.2    Chen, J.K.3
  • 5
    • 1842429891 scopus 로고    scopus 로고
    • A one-dimensional thermo-fluid model of blood circulation in the human upper limb
    • He Y., Liu H., Himeno R. A one-dimensional thermo-fluid model of blood circulation in the human upper limb. International Journal of Heat and Mass Transfer 2004, 47:2735-2745.
    • (2004) International Journal of Heat and Mass Transfer , vol.47 , pp. 2735-2745
    • He, Y.1    Liu, H.2    Himeno, R.3
  • 6
    • 79952280395 scopus 로고    scopus 로고
    • Investigation on three-dimensional temperature field of human knee considering anatomical structure
    • Xiao J., He Z., Yang Y., Chen B., Deng Z., Liu J. Investigation on three-dimensional temperature field of human knee considering anatomical structure. International Journal of Heat and Mass Transfer 2011, 54:1851-1860.
    • (2011) International Journal of Heat and Mass Transfer , vol.54 , pp. 1851-1860
    • Xiao, J.1    He, Z.2    Yang, Y.3    Chen, B.4    Deng, Z.5    Liu, J.6
  • 7
    • 77957366602 scopus 로고    scopus 로고
    • On modeling the response of the synovial fluid: unsteady flow of a shear-thinning chemically-reacting fluid mixture
    • Bridges Craig, Karra Satish, Rajagopal K.R. On modeling the response of the synovial fluid: unsteady flow of a shear-thinning chemically-reacting fluid mixture. Computers and Mathematics with Applications 2010, 60:2333-2349.
    • (2010) Computers and Mathematics with Applications , vol.60 , pp. 2333-2349
    • Bridges, C.1    Karra, S.2    Rajagopal, K.R.3
  • 8
    • 34547462499 scopus 로고    scopus 로고
    • The role of lubricin in the mechanical behavior of synovial fluid
    • Jay G.D., Torres J.R., Warman M.L., Laderer M.C., Breuer K.S. The role of lubricin in the mechanical behavior of synovial fluid. PNAS 2007, 104(15):6194-6199.
    • (2007) PNAS , vol.104 , Issue.15 , pp. 6194-6199
    • Jay, G.D.1    Torres, J.R.2    Warman, M.L.3    Laderer, M.C.4    Breuer, K.S.5
  • 11
    • 0035666948 scopus 로고    scopus 로고
    • The thixotropic effect of the synovial fluid in squeeze-film lubrication of the human hip joint
    • Hlavácek M. The thixotropic effect of the synovial fluid in squeeze-film lubrication of the human hip joint. Biorheology 2001, 38(4):319-334.
    • (2001) Biorheology , vol.38 , Issue.4 , pp. 319-334
    • Hlavácek, M.1
  • 12
    • 78649629762 scopus 로고    scopus 로고
    • Electrorheological Rayleigh-Taylor instability at the interface between a porous layer and thin shell poorly conducting couple stress fluid
    • Rudraiah N., Kalal Milan, Chandrashekara G. Electrorheological Rayleigh-Taylor instability at the interface between a porous layer and thin shell poorly conducting couple stress fluid. International Journal of Non-Linear Mechanics 2011, 46:57-64.
    • (2011) International Journal of Non-Linear Mechanics , vol.46 , pp. 57-64
    • Rudraiah, N.1    Kalal, M.2    Chandrashekara, G.3
  • 14
    • 62949245816 scopus 로고    scopus 로고
    • Variational iteration method for solving non-linear partial differential equations
    • Hemeda A.A. Variational iteration method for solving non-linear partial differential equations. Chaos, Solitons and Fractals 2009, 39:1297-1303.
    • (2009) Chaos, Solitons and Fractals , vol.39 , pp. 1297-1303
    • Hemeda, A.A.1
  • 15
    • 65349184001 scopus 로고    scopus 로고
    • Variational iteration method for solving partial differential equations with variable coefficients
    • Ali A.H.A., Raslan K.R. Variational iteration method for solving partial differential equations with variable coefficients. Chaos, Solitons and Fractals 2009, 40:1520-1529.
    • (2009) Chaos, Solitons and Fractals , vol.40 , pp. 1520-1529
    • Ali, A.H.A.1    Raslan, K.R.2
  • 16
    • 34748905312 scopus 로고    scopus 로고
    • Variational iteration method for solving a nonlinear system of second-order boundary value problems
    • Lu J. Variational iteration method for solving a nonlinear system of second-order boundary value problems. Computers and Mathematics with Applications 2007, 54:1133-1138.
    • (2007) Computers and Mathematics with Applications , vol.54 , pp. 1133-1138
    • Lu, J.1
  • 17
    • 59849123041 scopus 로고    scopus 로고
    • Analytical solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk
    • Rashidi M.M., Shahmohamadi H. Analytical solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk. Communications in Nonlinear Science and Numerical Simulation 2009, 14:2999-3006.
    • (2009) Communications in Nonlinear Science and Numerical Simulation , vol.14 , pp. 2999-3006
    • Rashidi, M.M.1    Shahmohamadi, H.2
  • 18
    • 79951849640 scopus 로고    scopus 로고
    • Analytical approach to two-dimensional viscous flow with a shrinking sheet via variational iteration algorithm-II
    • Faraz N., Khan Y., Yildirim A. Analytical approach to two-dimensional viscous flow with a shrinking sheet via variational iteration algorithm-II. Journal of King Saud University (Science) 2011, 23:77-81.
    • (2011) Journal of King Saud University (Science) , vol.23 , pp. 77-81
    • Faraz, N.1    Khan, Y.2    Yildirim, A.3
  • 19
    • 79953737889 scopus 로고    scopus 로고
    • Study of the effects of the Reynolds number on circular porous slider via variational iteration algorithm-II
    • Faraz N. Study of the effects of the Reynolds number on circular porous slider via variational iteration algorithm-II. Computers and Mathematics with Applications 2011, 61:1991-1994.
    • (2011) Computers and Mathematics with Applications , vol.61 , pp. 1991-1994
    • Faraz, N.1
  • 20
    • 77953136619 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method and variational iteration method for nonlinear partial integro-differential equations
    • Raftari Behrouz Application of He's homotopy perturbation method and variational iteration method for nonlinear partial integro-differential equations. World Applied Sciences Journal 2009, 7(4):399-404.
    • (2009) World Applied Sciences Journal , vol.7 , Issue.4 , pp. 399-404
    • Raftari, B.1
  • 21
    • 79951861854 scopus 로고    scopus 로고
    • The homotopy perturbation method (HPM) for nonlinear parabolic equation with nonlocal boundary conditions
    • Ghoreishi M. The homotopy perturbation method (HPM) for nonlinear parabolic equation with nonlocal boundary conditions. Applied Mathematical Sciences 2011, 5(3):113-123.
    • (2011) Applied Mathematical Sciences , vol.5 , Issue.3 , pp. 113-123
    • Ghoreishi, M.1
  • 22
    • 79959765666 scopus 로고    scopus 로고
    • Application of homotopy and homotopy perturbation methods to differential equations of heat transfer and shear deformation of beams
    • Manshad Mojtaba Dehghan, Roohi Ehsan, Marzabadi Faezeh Rasi, Vaziry M.A. Application of homotopy and homotopy perturbation methods to differential equations of heat transfer and shear deformation of beams. Applied Mathematical Sciences 2011, 5:22 1051-1063.
    • (2011) Applied Mathematical Sciences , vol.5
    • Manshad, M.D.1    Roohi, E.2    Marzabadi, F.R.3    Vaziry, M.A.4
  • 23
    • 79955777178 scopus 로고    scopus 로고
    • Exact solution of Burgers equations by homotopy perturbation method and reduced differential transformation method
    • Taghizadeh N., Akbari M., Ghelichzadeh A. Exact solution of Burgers equations by homotopy perturbation method and reduced differential transformation method. Australian Journal of Basic and Applied Sciences 2011, 5(5):80-589.
    • (2011) Australian Journal of Basic and Applied Sciences , vol.5 , Issue.5 , pp. 80-589
    • Taghizadeh, N.1    Akbari, M.2    Ghelichzadeh, A.3
  • 24
    • 84872620640 scopus 로고    scopus 로고
    • Homotopy perturbation and Elzaki transform for solving nonlinear partial differential equations
    • Elzaki Tarig.M., Hilal Eman M.A. Homotopy perturbation and Elzaki transform for solving nonlinear partial differential equations. Mathematical Theory and Modeling 2012, 2(3):33-42.
    • (2012) Mathematical Theory and Modeling , vol.2 , Issue.3 , pp. 33-42
    • Elzaki, T.M.1    Hilal, E.M.A.2
  • 25
    • 64449088045 scopus 로고    scopus 로고
    • Convergence of the homotopy perturbation method for partial differential equations
    • Biazar J., Ghazvini H. Convergence of the homotopy perturbation method for partial differential equations. Nonlinear Analysis: Real World Applications 2009, 10:2633-2640.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 2633-2640
    • Biazar, J.1    Ghazvini, H.2
  • 26
    • 77952561189 scopus 로고    scopus 로고
    • On the convergence of variational iteration method for nonlinear coupled system of partial differential equations
    • Sweilam N.H., Khader M.M. On the convergence of variational iteration method for nonlinear coupled system of partial differential equations. International Journal of Computer Mathematics 2010, 87(5):1120-1130.
    • (2010) International Journal of Computer Mathematics , vol.87 , Issue.5 , pp. 1120-1130
    • Sweilam, N.H.1    Khader, M.M.2
  • 27
    • 78049295140 scopus 로고    scopus 로고
    • Simulating the flow of a thixotropic fluid above a fixed plate at arbitrary Reynolds numbers
    • Najmi K., Karimzadeh M., Sadeghy K. Simulating the flow of a thixotropic fluid above a fixed plate at arbitrary Reynolds numbers. Journal of Society of Rheology Japan 2010, 38(3):109-116.
    • (2010) Journal of Society of Rheology Japan , vol.38 , Issue.3 , pp. 109-116
    • Najmi, K.1    Karimzadeh, M.2    Sadeghy, K.3
  • 28
    • 77956759398 scopus 로고    scopus 로고
    • Microscale aspects of thermal radiation transport and laser applications, Advances in Heat Transfer 33 ISBN: 0-12-020033-3
    • Sunil Kumar, Microscale aspects of thermal radiation transport and laser applications, Advances in Heat Transfer 33 (1999) ISBN: 0-12-020033-3.
    • (1999)
    • Sunil Kumar1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.