메뉴 건너뛰기




Volumn 188, Issue 1, 2007, Pages 450-455

Numerical solutions of the nonlinear integro-differential equations: Wavelet-Galerkin method and homotopy perturbation method

Author keywords

Homotopy perturbation method; Integro differential equations; Wavelet Galerkin

Indexed keywords

COMPUTATIONAL METHODS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

EID: 34248208749     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.10.001     Document Type: Article
Times cited : (23)

References (20)
  • 1
    • 32144434395 scopus 로고    scopus 로고
    • Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
    • Abbasbandy S. Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method. Appl. Math. Comput. 173 2-3 (2006) 493-500
    • (2006) Appl. Math. Comput. , vol.173 , Issue.2-3 , pp. 493-500
    • Abbasbandy, S.1
  • 2
    • 33748421926 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to functional integral equations
    • Abbasbandy S. Application of He's homotopy perturbation method to functional integral equations. Chaos Soliton. Fract. 31 5 (2007) 1243-1247
    • (2007) Chaos Soliton. Fract. , vol.31 , Issue.5 , pp. 1243-1247
    • Abbasbandy, S.1
  • 3
    • 33745835072 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method for Laplace transform
    • Abbasbandy S. Application of He's homotopy perturbation method for Laplace transform. Chaos Soliton. Fract. 30 (2006) 1206-1212
    • (2006) Chaos Soliton. Fract. , vol.30 , pp. 1206-1212
    • Abbasbandy, S.1
  • 4
    • 0034159354 scopus 로고    scopus 로고
    • Wavelet-Galerkin method for integro-differential equations
    • Avudainayagam A., and Vani C. Wavelet-Galerkin method for integro-differential equations. Appl. Numer. Math. 32 (2000) 247-254
    • (2000) Appl. Numer. Math. , vol.32 , pp. 247-254
    • Avudainayagam, A.1    Vani, C.2
  • 5
    • 17844395724 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method to Volterra's integro-differential equation
    • El-Shahed M. Application of He's homotopy perturbation method to Volterra's integro-differential equation. Int. J. Nonlinear Sci. Numer. Simul. 6 2 (2005) 163-168
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , Issue.2 , pp. 163-168
    • El-Shahed, M.1
  • 6
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • He J.H. Application of homotopy perturbation method to nonlinear wave equations. Chaos Soliton. Fract. 26 (2005) 695-700
    • (2005) Chaos Soliton. Fract. , vol.26 , pp. 695-700
    • He, J.H.1
  • 7
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method: a kind of nonlinear analytical technique: some examples
    • He J.H. Variational iteration method: a kind of nonlinear analytical technique: some examples. Int. J. Nonlinear Mech. 34 4 (1999) 699-708
    • (1999) Int. J. Nonlinear Mech. , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 8
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • He J.H. Homotopy perturbation technique. Comput. Methods Appl. Mech. Eng. 178 3-4 (1999) 257-262
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.178 , Issue.3-4 , pp. 257-262
    • He, J.H.1
  • 9
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of homotopy technique and perturbation technique for nonlinear problems
    • He J.H. A coupling method of homotopy technique and perturbation technique for nonlinear problems. Int. J. Nonlinear Mech. 35 1 (2000) 37-43
    • (2000) Int. J. Nonlinear Mech. , vol.35 , Issue.1 , pp. 37-43
    • He, J.H.1
  • 10
    • 0002734020 scopus 로고    scopus 로고
    • A review on some new recently developed nonlinear analytical techniques
    • He J.H. A review on some new recently developed nonlinear analytical techniques. Int. J. Nonlinear Sci. Numer. Simul. 1 1 (2000) 51-70
    • (2000) Int. J. Nonlinear Sci. Numer. Simul. , vol.1 , Issue.1 , pp. 51-70
    • He, J.H.1
  • 11
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comput. 114 2-3 (2000) 115-123
    • (2000) Appl. Math. Comput. , vol.114 , Issue.2-3 , pp. 115-123
    • He, J.H.1
  • 12
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for nonlinear oscillators with discontinuities
    • He J.H. The homotopy perturbation method for nonlinear oscillators with discontinuities. Appl. Math. Comput. 151 (2004) 287-292
    • (2004) Appl. Math. Comput. , vol.151 , pp. 287-292
    • He, J.H.1
  • 13
    • 3943092529 scopus 로고    scopus 로고
    • Comparison of homotopy perturbation method and homotopy analysis method
    • He J.H. Comparison of homotopy perturbation method and homotopy analysis method. Appl. Math. Comput. 156 (2004) 527-539
    • (2004) Appl. Math. Comput. , vol.156 , pp. 527-539
    • He, J.H.1
  • 14
    • 18844391045 scopus 로고    scopus 로고
    • Limit cycle and bifurcation of nonlinear problems
    • He J.H. Limit cycle and bifurcation of nonlinear problems. Chaos Soliton. Fract. 26 (2005) 827-833
    • (2005) Chaos Soliton. Fract. , vol.26 , pp. 827-833
    • He, J.H.1
  • 15
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int. J. Nonlinear Sci. Numer. Simul. 6 2 (2005) 207-208
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , Issue.2 , pp. 207-208
    • He, J.H.1
  • 16
    • 0041621600 scopus 로고    scopus 로고
    • Variational principles for some nonlinear partial differential equations with variable coefficients
    • He J.H. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Soliton. Fract. 19 4 (2005) 847-851
    • (2005) Chaos Soliton. Fract. , vol.19 , Issue.4 , pp. 847-851
    • He, J.H.1
  • 17
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20 (2006) 1141-1199
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 18
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos Soliton. Fract. 29 (2006) 108-113
    • (2006) Chaos Soliton. Fract. , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 19
    • 4243080806 scopus 로고    scopus 로고
    • Variational approach to nonlinear electrochemical system
    • Liu H.M. Variational approach to nonlinear electrochemical system. Chaos Soliton. Fract. 23 2 (2005) 573-576
    • (2005) Chaos Soliton. Fract. , vol.23 , Issue.2 , pp. 573-576
    • Liu, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.