메뉴 건너뛰기




Volumn 203, Issue 2, 2008, Pages 778-783

New iterative method: Application to partial differential equations

Author keywords

Adomian decomposition method; Caputo fractional derivative; Homotopy perturbation method; New iterative method; Partial differential equation; Variational iteration method

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); IMAGE SEGMENTATION; LINEAR EQUATIONS; NUMERICAL ANALYSIS;

EID: 51549115850     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.05.071     Document Type: Article
Times cited : (117)

References (12)
  • 1
    • 29844442304 scopus 로고    scopus 로고
    • An iterative method for solving non linear functional equations
    • Daftardar-Gejji V., and Jafari H. An iterative method for solving non linear functional equations. J. Math. Anal. Appl. 316 (2006) 753-763
    • (2006) J. Math. Anal. Appl. , vol.316 , pp. 753-763
    • Daftardar-Gejji, V.1    Jafari, H.2
  • 2
    • 51549091643 scopus 로고    scopus 로고
    • Solving fractional diffusion-wave equations using a new iterative method
    • Daftardar-Gejji V., and Bhalekar S. Solving fractional diffusion-wave equations using a new iterative method. Frac. Calc. Appl. Anal. 11 2 (2008) 193-202
    • (2008) Frac. Calc. Appl. Anal. , vol.11 , Issue.2 , pp. 193-202
    • Daftardar-Gejji, V.1    Bhalekar, S.2
  • 4
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • He J.H. Homotopy perturbation technique. Comput. Meth. Appl. Mech. Eng. 178 (1999) 257-262
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.178 , pp. 257-262
    • He, J.H.1
  • 5
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Meth. Appl. Mech. Eng. 167 (1998) 57-68
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.167 , pp. 57-68
    • He, J.H.1
  • 7
    • 17844372193 scopus 로고    scopus 로고
    • Recent applications of fractional calculus to science and engineering
    • Debnath L. Recent applications of fractional calculus to science and engineering. Int. J. Math. Math. Sci. 2003 (2003) 1-30
    • (2003) Int. J. Math. Math. Sci. , vol.2003 , pp. 1-30
    • Debnath, L.1
  • 9
    • 22244449673 scopus 로고    scopus 로고
    • A.A. Hemeda, Variational iteration method for solving nonlinear partial differential equations, Chaos, Solitons Fract., doi:10.1016/j.chaos.2007.06.025.
    • A.A. Hemeda, Variational iteration method for solving nonlinear partial differential equations, Chaos, Solitons Fract., doi:10.1016/j.chaos.2007.06.025.
  • 10
    • 34548384362 scopus 로고    scopus 로고
    • Numerical methods for nonlinear partial differential equations of fractional order
    • Odibat Z., and Momani S. Numerical methods for nonlinear partial differential equations of fractional order. Appl. Math. Modell. 32 (2008) 28-39
    • (2008) Appl. Math. Modell. , vol.32 , pp. 28-39
    • Odibat, Z.1    Momani, S.2
  • 11
    • 34247395044 scopus 로고    scopus 로고
    • Homotopy perturbation method for nonlinear partial differential equations of fractional order
    • Momani S., and Odibat Z. Homotopy perturbation method for nonlinear partial differential equations of fractional order. Phys. Lett. A 365 (2007) 345-350
    • (2007) Phys. Lett. A , vol.365 , pp. 345-350
    • Momani, S.1    Odibat, Z.2
  • 12
    • 0012659515 scopus 로고    scopus 로고
    • An operational method for solving fractional differential equations with the Caputo derivatives
    • Luchko Yu., and Gorenflo R. An operational method for solving fractional differential equations with the Caputo derivatives. Acta Math. Vietnamica 24 (1999) 207-233
    • (1999) Acta Math. Vietnamica , vol.24 , pp. 207-233
    • Luchko, Yu.1    Gorenflo, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.