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Volumn 6, Issue 9-12, 2012, Pages 467-478

On the coupling of homotopy perturbation and laplace transformation for system of partial differential equations

Author keywords

Homotopy perturbation method; Homotopy perturbation transform algorithm; Linear and nonlinear partial differential equations

Indexed keywords


EID: 84863421302     PISSN: None     EISSN: 1312885X     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (17)
  • 2
    • 34548249064 scopus 로고    scopus 로고
    • Solutions of Singular IVPs of Lane-Emden type by Homotopy Perturbation Method
    • A.Yildirim, T. ̈ Ozi̧s, Solutions of Singular IVPs of Lane-Emden type by Homotopy Perturbation Method, Phy. Lett. A. 369 (2007) 70 - 76.
    • (2007) Phy. Lett. A. , vol.369 , pp. 70-76
    • Yildirim, A.1    Ozi̧s, T.2
  • 3
    • 34249884542 scopus 로고    scopus 로고
    • Traveling Wave Solution of Korteweg-de Vries Equation using He's Homotopy Perturbation Method
    • A.Yildirim, T. ̈ Ozi̧s, Traveling Wave Solution of Korteweg-de Vries Equation using He's Homotopy Perturbation Method, Int. J. Non. Sci. Numer. Simul. 8 (2007) 239 - 242.
    • (2007) Int. J. Non. Sci. Numer. Simul. , vol.8 , pp. 239-242
    • Yildirim, A.1    Ozi̧s, T.2
  • 4
    • 77649111755 scopus 로고    scopus 로고
    • On the solution of the non-linear Korteweg-de Vries equation by the homotopy perturbation method
    • A.Yildirim, On the solution of the non-linear Korteweg-de Vries equation by the homotopy perturbation method, Commun. Numer. Meth. Eng. 25 (2009) 1127 - 1136.
    • (2009) Commun. Numer. Meth. Eng. , vol.25 , pp. 1127-1136
    • Yildirim, A.1
  • 5
    • 77952576056 scopus 로고    scopus 로고
    • He's Homotopy Perturbation Method for nonlinear differential-difference equations
    • A.Yildirim, He's Homotopy Perturbation Method for nonlinear differential-difference equations, Int. J. Comput. Math. 87 (2010) 992 - 996.
    • (2010) Int. J. Comput. Math. , vol.87 , pp. 992-996
    • Yildirim, A.1
  • 6
    • 70349838572 scopus 로고    scopus 로고
    • HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet
    • S. Nadeem, A. Hussain, M. Khan, HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet, Commun. Nonlinear Sci. Numer. Simul. 15 (2010) 475 - 481.
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 475-481
    • Nadeem, S.1    Hussain, A.2    Khan, M.3
  • 7
    • 77956073742 scopus 로고    scopus 로고
    • Stagnation Flow of a Jeffrey Fluid over a Shrinking Sheet
    • S. Nadeem, A. Hussain, and M. Khan, Stagnation Flow of a Jeffrey Fluid over a Shrinking Sheet, Z. Naturforsch.65a (2010) 1 - 9.
    • (2010) Z. Naturforsch. , vol.65 A , pp. 1-9
    • Nadeem, S.1    Hussain, A.2    Khan, M.3
  • 8
    • 79959808652 scopus 로고    scopus 로고
    • Restrictions and Improvements of Laplace Decomposition Method
    • M.Khan, M. A. Gondal, Restrictions and Improvements of Laplace Decomposition Method, Adv. Res. Sci. Comput. 3 (2011) 8 - 14.
    • (2011) Adv. Res. Sci. Comput. , vol.3 , pp. 8-14
    • Khan, M.1    Gondal, M.A.2
  • 9
    • 77953903021 scopus 로고    scopus 로고
    • Modified Laplace Decomposition Method
    • M. Hussain, M. Khan, Modified Laplace Decomposition Method, Appl. Math. Sci. 4 (2010) 1769 - 1783.
    • (2010) Appl. Math. Sci. , vol.4 , pp. 1769-1783
    • Hussain, M.1    Khan, M.2
  • 10
    • 78651520457 scopus 로고    scopus 로고
    • Application of Laplace decomposition method on semi-infinite domain
    • M. Khan, M. Hussain, Application of Laplace decomposition method on semi-infinite domain, Numer. Algor. 56 (2011) 211 - 218.
    • (2011) Numer. Algor. , vol.56 , pp. 211-218
    • Khan, M.1    Hussain, M.2
  • 11
    • 79959801314 scopus 로고    scopus 로고
    • Application of Laplace Decomposition Method to Solve Nonlinear Coupled Partial Differential Equations
    • M. Khan, M. Hussain, Y. Khan, H. Jafari, Application of Laplace Decomposition Method to Solve Nonlinear Coupled Partial Differential Equations, World Appl. Sci. J. 9 (2010) 13 - 17.
    • (2010) World Appl. Sci. J. , vol.9 , pp. 13-17
    • Khan, M.1    Hussain, M.2    Khan, Y.3    Jafari, H.4
  • 12
    • 84872672781 scopus 로고    scopus 로고
    • A new analytical approach to two dimensional magneto-hydrodynamics flow over a nonlinear porous stretching sheet by Laplace Pad́e decomposition method
    • DOI: 10.1007/s00025-011-0198-6
    • M. Khan, M. A. Gondal, Khaled Omrani, A new analytical approach to two dimensional magneto-hydrodynamics flow over a nonlinear porous stretching sheet by Laplace Pad́e decomposition method, Res. Math. (2011) DOI: 10.1007/s00025-011-0198-6.
    • (2011) Res. Math.
    • Khan, M.1    Gondal, M.A.2    Omrani, K.3
  • 13
    • 79951686744 scopus 로고    scopus 로고
    • New Modified Laplace Decomposition Algorithm for Blasius Flow Equation
    • M. Khan, M. A. Gondal, New Modified Laplace Decomposition Algorithm for Blasius Flow Equation, Adv. Res. Sci. Comput. 2 (2010) 35 - 43.
    • (2010) Adv. Res. Sci. Comput. , vol.2 , pp. 35-43
    • Khan, M.1    Gondal, M.A.2
  • 14
    • 79951707467 scopus 로고    scopus 로고
    • A New Analytical Solution of Foam Drainage Equation by Laplace Decomposition Method
    • M. Khan, M. A. Gondal, A New Analytical Solution of Foam Drainage Equation by Laplace Decomposition Method, Adv. Res. Differ. Eqs, 2 (2010) 53 - 64.
    • (2010) Adv. Res. Differ. Eqs , vol.2 , pp. 53-64
    • Khan, M.1    Gondal, M.A.2
  • 15
    • 79951951612 scopus 로고    scopus 로고
    • On the coupling of the homotopy perturbation method and Laplace transformation
    • M. Madani, M. Fathizadeh, Y. Khan, A. Yildirim, On the coupling of the homotopy perturbation method and Laplace transformation, Math. Comput. Model. 53 (2011) 1937-1945.
    • (2011) Math. Comput. Model. , vol.53 , pp. 1937-1945
    • Madani, M.1    Fathizadeh, M.2    Khan, Y.3    Yildirim, A.4
  • 16
    • 79651475645 scopus 로고    scopus 로고
    • Homotopy perturbation transform method for nonlinear equations using He's polynomials
    • Y. Khan, Q. Wu, Homotopy perturbation transform method for nonlinear equations using He's polynomials, Comput. Math. Appl. 61 (2011) 1963 - 1967.
    • (2011) Comput. Math. Appl. , vol.61 , pp. 1963-1967
    • Khan, Y.1    Wu, Q.2
  • 17
    • 79951685762 scopus 로고    scopus 로고
    • Homotopy Perturbation Method for Nonlinear Exponential Boundary Layer Equation using Laplace Transformation, He's Polynomials and Pade Technology He's Polynomials and Pade Technology
    • M. A. Gondal, M. Khan, Homotopy Perturbation Method for Nonlinear Exponential Boundary Layer Equation using Laplace Transformation, He's Polynomials and Pade Technology He's Polynomials and Pade Technology, Int. J. Non. Sci. Numer. Simul. 11 (2010) 1145 - 1153.
    • (2010) Int. J. Non. Sci. Numer. Simul. , vol.11 , pp. 1145-1153
    • Gondal, M.A.1    Khan, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.