메뉴 건너뛰기




Volumn 17, Issue 6, 2012, Pages 2299-2308

An efficient method for solving non-linear singularly perturbed two points boundary-value problems of fractional order

Author keywords

Boundary layer; Boundary layer correction; Fractional derivative; Pade' approximation; Singularly perturbed boundary value problems

Indexed keywords

BOUNDARY VALUE PROBLEMS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 84855251712     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.10.003     Document Type: Article
Times cited : (33)

References (15)
  • 1
    • 14544286759 scopus 로고    scopus 로고
    • A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems
    • Ramos J.I. A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems. Appl Math Comput 2005, 163:11231142.
    • (2005) Appl Math Comput , vol.163 , pp. 11231142
    • Ramos, J.I.1
  • 5
    • 79953694166 scopus 로고    scopus 로고
    • Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers
    • Attili B.S. Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers. Commun Nonlinear Sci Numer Simul 2011, 16(9):3504-3511.
    • (2011) Commun Nonlinear Sci Numer Simul , vol.16 , Issue.9 , pp. 3504-3511
    • Attili, B.S.1
  • 6
    • 78649971331 scopus 로고    scopus 로고
    • A brief survey on numerical methods for solving singularly perturbed problems
    • Kadalbajoo M.K., Gupta V. A brief survey on numerical methods for solving singularly perturbed problems. Appl Math Comput 2010, 217:36413716.
    • (2010) Appl Math Comput , vol.217 , pp. 36413716
    • Kadalbajoo, M.K.1    Gupta, V.2
  • 7
    • 85196156605 scopus 로고    scopus 로고
    • Nonlinear singular perturbation problems of arbitrary real orders, The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
    • Bijura AM, Nonlinear singular perturbation problems of arbitrary real orders, The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy), 2003, p. 1-16.
    • (2003) , pp. 1-16
    • Bijura, A.M.1
  • 8
    • 48049106196 scopus 로고    scopus 로고
    • Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer
    • Roop J.P. Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer. Comput Math Appl 2008, 56:18081819.
    • (2008) Comput Math Appl , vol.56 , pp. 18081819
    • Roop, J.P.1
  • 9
    • 33847309315 scopus 로고    scopus 로고
    • Theory and applications of fractional differential equations
    • Elsevier, Amsterdam, The Netherlands
    • Kilbas A.A., Srivastava H.M., Trujjllo J.J. Theory and applications of fractional differential equations. North-Holland mathematics studies 2006, vol. 204. Elsevier, Amsterdam, The Netherlands.
    • (2006) North-Holland mathematics studies , vol.204
    • Kilbas, A.A.1    Srivastava, H.M.2    Trujjllo, J.J.3
  • 10
    • 70350123911 scopus 로고    scopus 로고
    • Upper and lower solutions method and a fractional differential equation boundary value problem
    • Shi A., Zhang S. Upper and lower solutions method and a fractional differential equation boundary value problem. Elect J Qualit Theory Differ Equ 2009, 30:1-13.
    • (2009) Elect J Qualit Theory Differ Equ , vol.30 , pp. 1-13
    • Shi, A.1    Zhang, S.2
  • 12
    • 64549120203 scopus 로고    scopus 로고
    • An efficient method for solving fractional Sturm-Liouville problems
    • Al-Mdallal Q.M. An efficient method for solving fractional Sturm-Liouville problems. Chaos Solitons Fract 2009, 40(1):183-189.
    • (2009) Chaos Solitons Fract , vol.40 , Issue.1 , pp. 183-189
    • Al-Mdallal, Q.M.1
  • 13
    • 33646364314 scopus 로고    scopus 로고
    • An efficient method for solving Bratu equations
    • Syam M.I., Hamdan A. An efficient method for solving Bratu equations. Appl Math Comput 2006, 176:704-713.
    • (2006) Appl Math Comput , vol.176 , pp. 704-713
    • Syam, M.I.1    Hamdan, A.2
  • 14
    • 0002105104 scopus 로고    scopus 로고
    • The decomposition method for solving the diffusion equation subject to the classification of mass
    • Wazwaz A.M. The decomposition method for solving the diffusion equation subject to the classification of mass. IJAM 2000, 3(1):25-34.
    • (2000) IJAM , vol.3 , Issue.1 , pp. 25-34
    • Wazwaz, A.M.1
  • 15
    • 20444478300 scopus 로고    scopus 로고
    • Adomian decomposition method for a reliable treatment of the Bratu-type equations
    • Wazwaz A.M. Adomian decomposition method for a reliable treatment of the Bratu-type equations. Appl Math Comput 2005, 166:652-663.
    • (2005) Appl Math Comput , vol.166 , pp. 652-663
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.