메뉴 건너뛰기




Volumn 20, Issue 8, 2010, Pages 897-909

Homotopy perturbation method for numerical solutions of coupled Burgers equations with time-and space-fractional derivatives

Author keywords

Calculus; Differential equations; Time series analysis

Indexed keywords

BURGERS EQUATIONS; CALCULUS; COMPUTABLE COMPONENTS; DESIGN/METHODOLOGY/APPROACH; FRACTIONAL DERIVATIVES; HOMOTOPY PERTURBATION METHOD; NUMERICAL SOLUTION; RAPIDLY CONVERGENT SERIES; SERIES ANALYSIS;

EID: 78049496518     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615531011081423     Document Type: Article
Times cited : (33)

References (66)
  • 1
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • Abdou, M. A. and Soliman, A. A. (2005), "Variational iteration method for solving Burger's and coupled Burger's equations", Journal of Computational and Applied Mathematics, Vol. 181, pp. 245-51.
    • (2005) Journal of Computational and Applied Mathematics , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 2
    • 34247862175 scopus 로고    scopus 로고
    • Exact solutions for nonlinear Schrödinger equations by He's homotopy perturbation method
    • Biazar, J. and Ghazvini, H. (2007), "Exact solutions for nonlinear Schrödinger equations by He's homotopy perturbation method", Physics Letters A, Vol. 366, pp. 79-84.
    • (2007) Physics Letters A , vol.366 , pp. 79-84
    • Biazar, J.1    Ghazvini, H.2
  • 3
    • 37449030301 scopus 로고    scopus 로고
    • Numerical solution for special non-linear Fredholm integral equation by HPM
    • Biazar, J. and Ghazvini, H. (2008), "Numerical solution for special non-linear Fredholm integral equation by HPM", Applied Mathematics and Computation, Vol. 195, pp. 681-7.
    • (2008) Applied Mathematics and Computation , vol.195 , pp. 681-687
    • Biazar, J.1    Ghazvini, H.2
  • 4
    • 62749090990 scopus 로고    scopus 로고
    • He's homotopy perturbation method for solving system of Volterra integral equations of the second kind
    • Biazar, J. and Ghazvini, H. (2009), "He's homotopy perturbation method for solving system of Volterra integral equations of the second kind", Chaos, Solitons and Fractals, Vol. 39, pp. 770-7.
    • (2009) Chaos, Solitons and Fractals , vol.39 , pp. 770-777
    • Biazar, J.1    Ghazvini, H.2
  • 5
    • 43049157795 scopus 로고    scopus 로고
    • Numerical solutions of coupled Burgers equations with time-and space-fractional derivatives
    • Chen, Y. and An, H. L. (2008), "Numerical solutions of coupled Burgers equations with time-and space-fractional derivatives", Applied Mathematics and Computation, Vol. 200, pp. 87-95.
    • (2008) Applied Mathematics and Computation , vol.200 , pp. 87-95
    • Chen, Y.1    An, H.L.2
  • 6
    • 65349084278 scopus 로고    scopus 로고
    • Irreversibility of heat conduction in complex multiphase systems and its application to the effective thermal conductivity of porous media
    • Chen, Q., Wang, M. R. and Pan, N., et al. (2009), "Irreversibility of heat conduction in complex multiphase systems and its application to the effective thermal conductivity of porous media", International Journal of Nonlinear Science and Numerical Simulation, Vol. 10 No. 1, pp. 57-66.
    • (2009) International Journal of Nonlinear Science and Numerical Simulation , vol.10 , Issue.1 , pp. 57-66
    • Chen, Q.1    Wang, M.R.2    Pan, N.3
  • 7
    • 33745852188 scopus 로고    scopus 로고
    • Homotopy-perturbation method for pure nonlinear differential equation
    • Cveticanin, L. (2006), "Homotopy-perturbation method for pure nonlinear differential equation", Chaos, Solitons and Fractals, Vol. 30, pp. 1221-30.
    • (2006) Chaos, Solitons and Fractals , vol.30 , pp. 1221-1230
    • Cveticanin, L.1
  • 8
    • 51749111612 scopus 로고    scopus 로고
    • Solution of fractional vibration equation by the variational iteration method and modified decomposition method
    • Das, S. (2008), "Solution of fractional vibration equation by the variational iteration method and modified decomposition method", International Journal of Nonlinear Science and Numerical Simulation, Vol. 9, pp. 361-6.
    • (2008) International Journal of Nonlinear Science and Numerical Simulation , vol.9 , pp. 361-366
    • Das, S.1
  • 9
    • 69249213504 scopus 로고    scopus 로고
    • The solution of the variable coefficients fourth-order parabolic partial differential equations by the homotopy perturbation method
    • Dehghan, M. and Manafian, J. (2009), "The solution of the variable coefficients fourth-order parabolic partial differential equations by the homotopy perturbation method", Zeitschriftfuer Naturforschung A, Vol. 64 a, pp. 411-9.
    • (2009) Zeitschriftfuer Naturforschung A , vol.64 A , pp. 411-419
    • Dehghan, M.1    Manafian, J.2
  • 10
    • 67349260725 scopus 로고    scopus 로고
    • Variational iteration method for solving the wave equation subject to an integral conservation condition
    • Dehghan, M. and Saadatmandi, A. (2009), "Variational iteration method for solving the wave equation subject to an integral conservation condition", Chaos, Solitons and Fractals, Vol. 41, pp. 1448-53.
    • (2009) Chaos, Solitons and Fractals , vol.41 , pp. 1448-1453
    • Dehghan, M.1    Saadatmandi, A.2
  • 11
    • 77953133591 scopus 로고    scopus 로고
    • A semi-numeric approach for solution of the Eikonal partial differential equation and its applications
    • in press
    • Dehghan, M. and Salehi, R. (2009), "A semi-numeric approach for solution of the Eikonal partial differential equation and its applications", Numerical Methods for Partial Differential Equations, in press.
    • (2009) Numerical Methods for Partial Differential Equations
    • Dehghan, M.1    Salehi, R.2
  • 12
    • 34249315091 scopus 로고    scopus 로고
    • Solution of a partial differential equation subject to temperature over specification by He's homotopy perturbation method
    • Dehghan, M. and Shakeri, F. (2007), "Solution of a partial differential equation subject to temperature over specification by He's homotopy perturbation method", Physica Scripta, Vol. 75, pp. 778-87.
    • (2007) Physica Scripta , vol.75 , pp. 778-787
    • Dehghan, M.1    Shakeri, F.2
  • 13
    • 38149090283 scopus 로고    scopus 로고
    • Solution ofanintegro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method
    • Dehghan, M. and Shakeri, F. (2008a), "Solution ofanintegro- differential equation arising in oscillating magnetic fields using He's homotopy perturbation method", Progress in Electromagnetic Research, Vol. PIER78, pp. 361-76.
    • (2008) Progress in Electromagnetic Research , vol.PIER78 , pp. 361-376
    • Dehghan, M.1    Shakeri, F.2
  • 14
    • 46749125042 scopus 로고    scopus 로고
    • Use of He's homotpy perturbation method for solving a partial differential equation arising in modeling of flow in porous media
    • Dehghan, M. and Shakeri, F. (2008b), "Use of He's homotpy perturbation method for solving a partial differential equation arising in modeling of flow in porous media", Journal of Porous Media, Vol. 11, pp. 765-78.
    • (2008) Journal of Porous Media , vol.11 , pp. 765-778
    • Dehghan, M.1    Shakeri, F.2
  • 15
    • 58149468214 scopus 로고    scopus 로고
    • The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
    • Article No. 065004
    • Dehghan, M. and Shakeri, F. (2008c), "The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics", Physica Scripta, Vol. 78 (Article No. 065004 (11 pages)).
    • (2008) Physica Scripta , vol.78 , pp. 11
    • Dehghan, M.1    Shakeri, F.2
  • 17
    • 34249337378 scopus 로고    scopus 로고
    • The solution of coupled Burgers equations using Adomian-Pade technique
    • Dehghan, M., Hamidi, A. and Shakourifar, M. (2007), "The solution of coupled Burgers equations using Adomian-Pade technique", Applied Mathematics and Computation, Vol. 189, pp. 1034-47.
    • (2007) Applied Mathematics and Computation , vol.189 , pp. 1034-1047
    • Dehghan, M.1    Hamidi, A.2    Shakourifar, M.3
  • 18
    • 73049103035 scopus 로고    scopus 로고
    • The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
    • in press
    • Dehghan, M., Yousefi, S. A. and Lotfi, A. (2009), "The use of He's variational iteration method for solving the telegraph and fractional telegraph equations", Communications in Numerical Methods in Engineering, in press.
    • (2009) Communications in Numerical Methods in Engineering
    • Dehghan, M.1    Yousefi, S.A.2    Lotfi, A.3
  • 19
    • 0002099155 scopus 로고
    • Coupled Burgers equations: A model of polydispersive sedimentation
    • Esipov, S. E. (1995), "Coupled Burgers equations: a model of polydispersive sedimentation", Physics Review., Vol. E 52, pp. 3711-8.
    • (1995) Physics Review. , vol.E52 , pp. 3711-3718
    • Esipov, S.E.1
  • 20
    • 61449220353 scopus 로고    scopus 로고
    • Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivatives
    • Ganji, Z. Z., Ganji, D. D., Jafari, H., et al. (2008), "Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivatives", Topological Methods in Nonlinear Analysis, Vol. 31, pp. 341-8.
    • (2008) Topological Methods in Nonlinear Analysis , vol.31 , pp. 341-348
    • Ganji, Z.Z.1    Ganji, D.D.2    Jafari, H.3
  • 21
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He, J. H. (1998), "Approximate analytical solution for seepage flow with fractional derivatives in porous media", Computer Methods in Applied Mechanics and Engineering, Vol. 167, pp. 57-68.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , pp. 57-68
    • He, J.H.1
  • 22
    • 0347763940 scopus 로고    scopus 로고
    • Some applications of nonlinear fractional differential equations and their approximations
    • He, J. H. (1999a), "Some applications of nonlinear fractional differential equations and their approximations", Bulletin of Science and Technology, Vol. 15 No. 2, pp. 86-90.
    • (1999) Bulletin of Science and Technology , vol.15 , Issue.2 , pp. 86-90
    • He, J.H.1
  • 24
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He, J. H. (2000), "A coupling method of a homotopy technique and a perturbation technique for non-linear problems", International Journal of Non-linear Mechanics, Vol. 35, pp. 37-43.
    • (2000) International Journal of Non-linear Mechanics , vol.35 , pp. 37-43
    • He, J.H.1
  • 25
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: A new nonlinear analytical technique
    • He, J. H. (2003), "Homotopy perturbation method: a new nonlinear analytical technique", Applied Mathematics and Computation, Vol. 135, pp. 73-9.
    • (2003) Applied Mathematics and Computation , vol.135 , pp. 73-79
    • He, J.H.1
  • 26
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for nonlinear oscillators with discontinuities
    • He, J. H. (2004), "The homotopy perturbation method for nonlinear oscillators with discontinuities", Applied Mathematics and Computation, Vol. 151, pp. 287-92.
    • (2004) Applied Mathematics and Computation , vol.151 , pp. 287-292
    • He, J.H.1
  • 27
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • He, J. H. (2005a), "Application of homotopy perturbation method to nonlinear wave equations", Chaos, Solitons and Fractals, Vol. 26, pp. 695-700.
    • (2005) Chaos, Solitons and Fractals , vol.26 , pp. 695-700
    • He, J.H.1
  • 29
    • 30644460357 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving boundary value problems
    • He, J. H. (2006a), "Homotopy perturbation method for solving boundary value problems", Physics Letters, Vol. A350, pp. 87-8.
    • (2006) Physics Letters , vol.A350 , pp. 87-88
    • He, J.H.1
  • 30
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He, J. H. (2006b), "Some asymptotic methods for strongly nonlinear equations", International Journal of Modern Physics B, Vol. 20, pp. 1141-99.
    • (2006) International Journal of Modern Physics B. , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 31
    • 33746584753 scopus 로고    scopus 로고
    • New interpretation of homotopy perturbation method
    • He, J. H. (2006c), "New interpretation of homotopy perturbation method", International Journal of Modern Physics B, Vol. 20, pp. 2561-8.
    • (2006) International Journal of Modern Physics B. , vol.20 , pp. 2561-2568
    • He, J.H.1
  • 32
    • 50949112266 scopus 로고    scopus 로고
    • An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
    • He, J. H. (2008a), "An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering", International Journal of Modern Physics, Vol. B22, pp. 3487-578.
    • (2008) International Journal of Modern Physics , vol.B22 , pp. 3487-3578
    • He, J.H.1
  • 33
    • 50949124409 scopus 로고    scopus 로고
    • Recent development of the homotopy perturbation method
    • He, J. H. (2008b), "Recent development of the homotopy perturbation method", Topological Methods in Nonlinear Analysis, Vol. 31, pp. 205-9.
    • (2008) Topological Methods in Nonlinear Analysis , vol.31 , pp. 205-209
    • He, J.H.1
  • 34
    • 37349034972 scopus 로고    scopus 로고
    • String theory in a scale dependent discontinuous space-time
    • He, J. H. (2008c), "String theory in a scale dependent discontinuous space-time", Chaos, Solitons & Fractals, Vol. 36, pp. 542-5.
    • (2008) Chaos, Solitons & Fractals , vol.36 , pp. 542-545
    • He, J.H.1
  • 36
    • 47049105318 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to deformable channel with wall suction and injection in a porous medium
    • Mahmood, M., Hossain, M. A. and Asghar, S., et al. (2008), "Application of homotopy perturbation method to deformable channel with wall suction and injection in a porous medium", International Journal Nonlinear Science and Numerical Simulation, Vol. 9 No. 2, pp. 195-206.
    • (2008) International Journal Nonlinear Science and Numerical Simulation , vol.9 , Issue.2 , pp. 195-206
    • Mahmood, M.1    Hossain, M.A.2    Asghar, S.3
  • 38
    • 34247395044 scopus 로고    scopus 로고
    • Homotopy perturbation method for nonlinear partial differential equations of fractional order
    • Momani, S. and Odibat, Z. (2007), "Homotopy perturbation method for nonlinear partial differential equations of fractional order", Physics Letters A, Vol. 365, pp. 345-50.
    • (2007) Physics Letters A , vol.365 , pp. 345-350
    • Momani, S.1    Odibat, Z.2
  • 39
    • 50949099510 scopus 로고    scopus 로고
    • Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods
    • Momani, S., Odibat, Z. and Hashim, I. (2008), "Algorithms for nonlinear fractional partial differential equations: a selection of numerical methods", Topological Methods in Nonlinear Analysis, Vol. 31, pp. 211-26.
    • (2008) Topological Methods in Nonlinear Analysis , vol.31 , pp. 211-226
    • Momani, S.1    Odibat, Z.2    Hashim, I.3
  • 40
    • 0041858039 scopus 로고    scopus 로고
    • Limit set of trajectories of the coupled viscous Burger's equations
    • Nee, J. and Duan, J. (1998), "Limit set of trajectories of the coupled viscous Burger's equations", Applied Mathematics Letters, Vol. 11 No. 1, pp. 57-61.
    • (1998) Applied Mathematics Letters , vol.11 , Issue.1 , pp. 57-61
    • Nee, J.1    Duan, J.2
  • 41
    • 30344464250 scopus 로고    scopus 로고
    • Application of variational iteration method to nonlinear differential equations of fractional order
    • Odibat, Z. and Momani, S. (2006), "Application of variational iteration method to nonlinear differential equations of fractional order", International Journal of Nonlinear Science and Numerical Simulation, Vol. 7, pp. 27-34.
    • (2006) International Journal of Nonlinear Science and Numerical Simulation , vol.7 , pp. 27-34
    • Odibat, Z.1    Momani, S.2
  • 42
    • 50949095668 scopus 로고    scopus 로고
    • Applications of variational iteration and homotopy perturbation methods to fractional evolution equations
    • Odibat, Z. and Momani, S. (2008), "Applications of variational iteration and homotopy perturbation methods to fractional evolution equations", Topological Methods in Nonlinear Analysis, Vol. 31, pp. 227-34.
    • (2008) Topological Methods in Nonlinear Analysis , vol.31 , pp. 227-234
    • Odibat, Z.1    Momani, S.2
  • 45
    • 34249884541 scopus 로고    scopus 로고
    • A comparative study of He's Homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities
    • Öziş, T and Yildirim, A. (2007b), "A comparative study of He's Homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 8, pp. 243-8.
    • (2007) International Journal of Nonlinear Sciences and Numerical Simulation , vol.8 , pp. 243-248
    • Öziş, T.1    Yildirim, A.2
  • 47
    • 60849089344 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method for non-linear system of second-order boundary value problems
    • Saadatmandi, A., Dehghan, M. and Eftekhari, A. (2009), "Application of He's homotopy perturbation method for non-linear system of second-order boundary value problems", Nonlinear Analysis: Real World Applications, Vol. 10, pp. 1912-22.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 1912-1922
    • Saadatmandi, A.1    Dehghan, M.2    Eftekhari, A.3
  • 49
    • 34347219776 scopus 로고    scopus 로고
    • Inverse problem of diffusion equation by He's homotopy perturbation method
    • Shakeri F and Dehghan, M. (2007), "Inverse problem of diffusion equation by He's homotopy perturbation method", Physica Scripta, Vol. 75, pp. 551-6.
    • (2007) Physica Scripta , vol.75 , pp. 551-556
    • Shakeri, F.1    Dehghan, M.2
  • 50
    • 44949134839 scopus 로고    scopus 로고
    • Solution ofthe delay differential equations via homotopy perturbation method
    • Shakeri, F. and Dehghan, M. (2008), "Solution ofthe delay differential equations via homotopy perturbation method", Mathematical and ComputerModeling, Vol. 48, pp. 486-98.
    • (2008) Mathematical and ComputerModeling , vol.48 , pp. 486-498
    • Shakeri, F.1    Dehghan, M.2
  • 52
    • 34548547253 scopus 로고    scopus 로고
    • Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane
    • Siddiqui, A. M, Mahmood, R. and Ghori, Q. K. (2008), "Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane", Chaos, Solitons and Fractals, Vol. 35, pp. 140-7.
    • (2008) Chaos, Solitons and Fractals , vol.35 , pp. 140-147
    • Siddiqui, A.M.1    Mahmood, R.2    Ghori, Q.K.3
  • 53
    • 77954913397 scopus 로고    scopus 로고
    • Solution of the differential-algebraic equations via homotopy perturbation method and their engineering applications
    • 92010
    • Soltanian, F., Dehghan, M. and Karbassi, S. M. (2009), "Solution of the differential-algebraic equations via homotopy perturbation method and their engineering applications", International Journal of Computer Mathematics, Vol. 87 No. 92010, pp. 1950-74.
    • (2009) International Journal of Computer Mathematics , vol.87 , pp. 1950-1974
    • Soltanian, F.1    Dehghan, M.2    Karbassi, S.M.3
  • 55
    • 65349177042 scopus 로고    scopus 로고
    • Porous materials with thin interlayers for optimal thermal insulationint
    • Wu, H. J., Fan, J. T. and Du, N (2009), "Porous materials with thin interlayers for optimal thermal insulationint", Journal of Nonlinear Science and Numerical Simulation, Vol. 10, pp. 291-300.
    • (2009) Journal of Nonlinear Science and Numerical Simulation , vol.10 , pp. 291-300
    • Wu, H.J.1    Fan, J.T.2    Du, N.3
  • 57
    • 55649112486 scopus 로고    scopus 로고
    • Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
    • Yildirim, A. (2008a), "Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method", Computers & Mathematics with Applications, Vol. 56, pp. 3175-80.
    • (2008) Computers & Mathematics with Applications , vol.56 , pp. 3175-3180
    • Yildirim, A.1
  • 58
    • 58449094572 scopus 로고    scopus 로고
    • The homotopy perturbation method for approximate solution of the modified KdV equation, Zeitschrift fur Naturforschung A
    • Yildirim, A. (2008b), "The homotopy perturbation method for approximate solution of the modified KdV equation, Zeitschrift fur Naturforschung A", A Journal of Physical Sciences, Vol. 63 a, pp. 621-6.
    • (2008) A Journal of Physical Sciences , vol.63 A , pp. 621-626
    • Yildirim, A.1
  • 59
    • 47049085208 scopus 로고    scopus 로고
    • Exact solutions of nonlinear differential-difference equations by He's Homotopy perturbation method
    • Yildirim, A. (2008c), "Exact solutions of nonlinear differential-difference equations by He's Homotopy perturbation method", International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 9, pp. 111-4.
    • (2008) International Journal of Nonlinear Sciences and Numerical Simulation , vol.9 , pp. 111-114
    • Yildirim, A.1
  • 60
    • 70449689775 scopus 로고    scopus 로고
    • Application of the Homotopy perturbation method for the Fokker-Planck equation
    • in press
    • Yildirim, A. (2008d), "Application of the Homotopy perturbation method for the Fokker-Planck equation", Communications in Numerical Methods in Engineering, in press.
    • (2008) Communications in Numerical Methods in Engineering
    • Yildirim, A.1
  • 61
    • 67249166170 scopus 로고    scopus 로고
    • An algorithm for solving the fractional nonlinear schrodinger equation by means of the homotopy perturbation method
    • Yildirim, A. (2009a), "An algorithm for solving the fractional nonlinear schrodinger equation by means of the homotopy perturbation method", InternationalJournal of Nonlinear Sciences and Numerical Simulation, Vol. 10, pp. 445-51.
    • (2009) InternationalJournal of Nonlinear Sciences and Numerical Simulation , vol.10 , pp. 445-451
    • Yildirim, A.1
  • 62
    • 77649172671 scopus 로고    scopus 로고
    • He's homotopy perturbation method for solving the space-and timefractional telegraph equations
    • in press
    • Yildirim, A. (2009b), "He's homotopy perturbation method for solving the space-and timefractional telegraph equations", InternationalJournal of Computer Mathematics, in press.
    • (2009) InternationalJournal of Computer Mathematics
    • Yildirim, A.1
  • 63
    • 77952576056 scopus 로고    scopus 로고
    • He's Homotopy perturbation method for nonlinear differential-difference equations
    • Yildirim, A. (2010), "He's Homotopy perturbation method for nonlinear differential-difference equations", InternationalJournal of Computer Mathematics, Vol. 87 No. 5, pp. 992-6.
    • (2010) InternationalJournal of Computer Mathematics , vol.87 , Issue.5 , pp. 992-996
    • Yildirim, A.1
  • 65
    • 34548249064 scopus 로고    scopus 로고
    • Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
    • Yildirim, A. and Ozis, T (2007), "Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method", Physics Letters, Vol. A369, pp. 70-6.
    • (2007) Physics Letters , vol.A369 , pp. 70-76
    • Yildirim, A.1    Ozis, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.