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Volumn 243, Issue , 2014, Pages 911-922

Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations

Author keywords

Gram Schmidt process; Periodic boundary value problems; Reproducing kernel Hilbert space method

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL METHODS;

EID: 84904297080     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.06.063     Document Type: Article
Times cited : (102)

References (36)
  • 2
    • 0012610155 scopus 로고
    • Asymptotic bounds for solutions to a system of damped integro-differential equations of electromagnetic theory
    • F. Bloom Asymptotic bounds for solutions to a system of damped integro-differential equations of electromagnetic theory J. Math. Anal. Appl. 73 1980 524 542
    • (1980) J. Math. Anal. Appl. , vol.73 , pp. 524-542
    • Bloom, F.1
  • 3
    • 21144474593 scopus 로고
    • Global asymptotic stability for a stationary solution of a system of integro-differential equations describing the formation of liver zones
    • K. Holmaker Global asymptotic stability for a stationary solution of a system of integro-differential equations describing the formation of liver zones SIAM J. Math. Anal. 24 1993 116 128
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 116-128
    • Holmaker, K.1
  • 4
    • 0031124229 scopus 로고    scopus 로고
    • Calculating current densities and fields produced by shielded magnetic resonance imaging probes
    • PII S0036139995283110
    • L.K. Forbes, S. Crozier, and D.M. Doddrell Calculating current densities and fields produced by shielded magnetic resonance imaging probes SIAM J. Appl. Math. 57 1997 401 425 (Pubitemid 127577098)
    • (1997) SIAM Journal on Applied Mathematics , vol.57 , Issue.2 , pp. 401-425
    • Forbes, L.K.1    Crozier, S.2    Doddrell, D.M.3
  • 6
    • 0035879124 scopus 로고    scopus 로고
    • On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions
    • DOI 10.1016/S0377-0427(00)00438-6, PII S0377042700004386
    • F.M. Atici, and G.S. Guseinov On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions J. Comput. Appl. Math. 132 2001 341 356 (Pubitemid 32644204)
    • (2001) Journal of Computational and Applied Mathematics , vol.132 , Issue.2 , pp. 341-356
    • Atici, F.M.1    Guseinov, G.Sh.2
  • 7
    • 25144475912 scopus 로고    scopus 로고
    • Existence of positive periodic solutions to nonlinear second order differential equations
    • DOI 10.1016/j.aml.2005.02.014, PII S089396590500114X
    • F. Li, and Z. Liang Existence of positive periodic solutions to nonlinear second-order differential equations Appl. Math. Lett. 18 2005 1256 1264 (Pubitemid 41344925)
    • (2005) Applied Mathematics Letters , vol.18 , Issue.11 , pp. 1256-1264
    • Li, F.1    Liang, Z.2
  • 8
    • 34548864279 scopus 로고    scopus 로고
    • Degree theoretic methods in the study of nonlinear periodic problems with nonsmooth potentials
    • R.P. Agarwal, M.E. Filippakis, D. O'Regan, and N.S. Papageorgiou Degree theoretic methods in the study of nonlinear periodic problems with nonsmooth potentials Differ. Integral Equ. 19 2006 279 296
    • (2006) Differ. Integral Equ. , vol.19 , pp. 279-296
    • Agarwal, R.P.1    Filippakis, M.E.2    O'Regan, D.3    Papageorgiou, N.S.4
  • 9
    • 38249015363 scopus 로고
    • Periodic boundary value problem for nonlinear higher ordinary differential equations
    • V. Seda, J.J. Nieto, and M. Gera Periodic boundary value problem for nonlinear higher ordinary differential equations Appl. Math. Comput. 48 1992 71 82
    • (1992) Appl. Math. Comput. , vol.48 , pp. 71-82
    • Seda, V.1    Nieto, J.J.2    Gera, M.3
  • 12
    • 4744358639 scopus 로고    scopus 로고
    • Positive solutions for first order periodic boundary value problem
    • S. Peng Positive solutions for first order periodic boundary value problem Appl. Math. Comput. 158 2004 345 351
    • (2004) Appl. Math. Comput. , vol.158 , pp. 345-351
    • Peng, S.1
  • 13
    • 75149118262 scopus 로고    scopus 로고
    • Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem
    • B. Liu, L. Liu, and Y. Wuc Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem Nonlinear Anal. 72 2010 3337 3345
    • (2010) Nonlinear Anal. , vol.72 , pp. 3337-3345
    • Liu, B.1    Liu, L.2    Wuc, Y.3
  • 14
    • 33845339644 scopus 로고    scopus 로고
    • Positive solutions of nonlinear second-order periodic boundary value problems
    • DOI 10.1016/j.aml.2006.08.003, PII S0893965906002291
    • Q. Yao Positive solutions of nonlinear second-order periodic boundary value problems Appl. Math. Lett. 20 2007 583 590 (Pubitemid 44880237)
    • (2007) Applied Mathematics Letters , vol.20 , Issue.5 , pp. 583-590
    • Yao, Q.1
  • 15
    • 79959202468 scopus 로고    scopus 로고
    • Solvability of a nonlinear third-order periodic boundary value problem
    • H. Yu, and M. Pei Solvability of a nonlinear third-order periodic boundary value problem Appl. Math. Lett. 23 2010 892 896
    • (2010) Appl. Math. Lett. , vol.23 , pp. 892-896
    • Yu, H.1    Pei, M.2
  • 16
    • 0038789059 scopus 로고    scopus 로고
    • Positive solutions of fourth-order periodic boundary value problems
    • Y. Lia Positive solutions of fourth-order periodic boundary value problems Nonlinear Anal. 54 2003 1069 1078
    • (2003) Nonlinear Anal. , vol.54 , pp. 1069-1078
    • Lia, Y.1
  • 17
    • 84867790334 scopus 로고    scopus 로고
    • Homotopy analysis method for second-order boundary value problems of integro-differential equations
    • 10.1155/2012/365792 18p (Article ID 365792)
    • A. El-Ajou, O. Abu Arqub, and S. Momani Homotopy analysis method for second-order boundary value problems of integro-differential equations Discrete Dyn. Nat. Soc. 2012 2012 10.1155/2012/365792 18p (Article ID 365792)
    • (2012) Discrete Dyn. Nat. Soc. , vol.2012
    • El-Ajou, A.1    Abu Arqub, O.2    Momani, S.3
  • 18
    • 84867025265 scopus 로고    scopus 로고
    • Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integro-differential equations
    • 10.1155/2012/839836 16p (Article ID 839836)
    • O. Abu Arqub, M. Al-Smadi, and S. Momani Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integro-differential equations Abstract Appl. Anal. 2012 2012 10.1155/2012/839836 16p (Article ID 839836)
    • (2012) Abstract Appl. Anal. , vol.2012
    • Abu Arqub, O.1    Al-Smadi, M.2    Momani, S.3
  • 19
    • 84876575020 scopus 로고    scopus 로고
    • Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method
    • O. Abu Arqub, M. Al-Smadi, and N. Shawagfeh Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method Appl. Math. Comput. 219 2013 8938 8948
    • (2013) Appl. Math. Comput. , vol.219 , pp. 8938-8948
    • Abu Arqub, O.1    Al-Smadi, M.2    Shawagfeh, N.3
  • 20
    • 84877937374 scopus 로고    scopus 로고
    • A computational method for two-point boundary value problems of fourth-order mixed integro-differential equations
    • 10.1155/2013/832074 10p (Article ID 832074)
    • M. Al-Smadi, O. Abu Arqub, and S. Momani A computational method for two-point boundary value problems of fourth-order mixed integro-differential equations Math. Prob. Eng. 2013 2013 10.1155/2013/832074 10p (Article ID 832074)
    • (2013) Math. Prob. Eng. , vol.2013
    • Al-Smadi, M.1    Abu Arqub, O.2    Momani, S.3
  • 21
    • 65049090776 scopus 로고    scopus 로고
    • New algorithm for second-order boundary value problems of integro-differential equation
    • W. Yulan, T. Chaolu, and P. Jing New algorithm for second-order boundary value problems of integro-differential equation J. Comput. Appl. Math. 229 2009 1 6
    • (2009) J. Comput. Appl. Math. , vol.229 , pp. 1-6
    • Yulan, W.1    Chaolu, T.2    Jing, P.3
  • 22
    • 84871437077 scopus 로고    scopus 로고
    • Solving singular two-point boundary value problems using continuous genetic algorithm
    • 10.1155/2012/205391 25p (Article ID 205391)
    • O. Abu Arqub, Z. Abo-Hammour, S. Momani, and N. Shawagfeh Solving singular two-point boundary value problems using continuous genetic algorithm Abstract Appl. Anal. 2012 2012 10.1155/2012/205391 25p (Article ID 205391)
    • (2012) Abstract Appl. Anal. , vol.2012
    • Abu Arqub, O.1    Abo-Hammour, Z.2    Momani, S.3    Shawagfeh, N.4
  • 23
    • 84893100175 scopus 로고    scopus 로고
    • Application of continuous genetic algorithm for nonlinear system of second-order boundary value problems
    • O. Abu Arqub, Z. Abo-Hammour, and S. Momani Application of continuous genetic algorithm for nonlinear system of second-order boundary value problems Appl. Math. Inform. Sci. 8 2014 235 248
    • (2014) Appl. Math. Inform. Sci. , vol.8 , pp. 235-248
    • Abu Arqub, O.1    Abo-Hammour, Z.2    Momani, S.3
  • 27
    • 40849103021 scopus 로고    scopus 로고
    • Reproducing kernel methods for solving linear initial-boundary-value problems
    • L.H. Yang, and Y. Lin Reproducing kernel methods for solving linear initial-boundary-value problems Electron. J. Differ. Equ. 2008 2008 1 11
    • (2008) Electron. J. Differ. Equ. , vol.2008 , pp. 1-11
    • Yang, L.H.1    Lin, Y.2
  • 28
    • 70349999941 scopus 로고    scopus 로고
    • Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method
    • F. Geng Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method Appl. Math. Comput. 215 2009 2095 2102
    • (2009) Appl. Math. Comput. , vol.215 , pp. 2095-2102
    • Geng, F.1
  • 29
    • 56949086126 scopus 로고    scopus 로고
    • A new method for solving a class of singular two-point boundary value problems
    • W. Wang, M. Cui, and B. Han A new method for solving a class of singular two-point boundary value problems Appl. Math. Comput. 206 2008 721 727
    • (2008) Appl. Math. Comput. , vol.206 , pp. 721-727
    • Wang, W.1    Cui, M.2    Han, B.3
  • 30
    • 33646467101 scopus 로고    scopus 로고
    • Representation of the exact solution for a kind of nonlinear partial differential equations
    • Y. Lin, M. Cui, and L. Yang Representation of the exact solution for a kind of nonlinear partial differential equations Appl. Math. Lett. 19 2006 808 813
    • (2006) Appl. Math. Lett. , vol.19 , pp. 808-813
    • Lin, Y.1    Cui, M.2    Yang, L.3
  • 31
    • 84893685000 scopus 로고    scopus 로고
    • Solving a system of linear Volterra integral equations using the new reproducing kernel method
    • W. Jiang, and Z. Chen Solving a system of linear Volterra integral equations using the new reproducing kernel method Appl. Math. Comput. 219 2013 10225 10230
    • (2013) Appl. Math. Comput. , vol.219 , pp. 10225-10230
    • Jiang, W.1    Chen, Z.2
  • 32
    • 84857047498 scopus 로고    scopus 로고
    • A reproducing kernel method for solving nonlocal fractional boundary value problems
    • F. Geng, and M. Cui A reproducing kernel method for solving nonlocal fractional boundary value problems Appl. Math. Lett. 25 2012 818 823
    • (2012) Appl. Math. Lett. , vol.25 , pp. 818-823
    • Geng, F.1    Cui, M.2
  • 33
    • 84886945821 scopus 로고    scopus 로고
    • Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers
    • F. Geng, and S.P. Qian Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers Appl. Math. Lett. 26 2013 998 1004
    • (2013) Appl. Math. Lett. , vol.26 , pp. 998-1004
    • Geng, F.1    Qian, S.P.2
  • 34
    • 84893160942 scopus 로고    scopus 로고
    • Analytical solution of nonlinear second-order periodic boundary value problem using reproducing kernel method
    • N. Shawagfeh, O. Abu, and S. Arqub Analytical solution of nonlinear second-order periodic boundary value problem using reproducing kernel method J. Comput. Anal. Appl. 16 2014 750 762
    • (2014) J. Comput. Anal. Appl. , vol.16 , pp. 750-762
    • Shawagfeh, N.1    Abu, O.2    Arqub, S.3
  • 35
    • 84889238605 scopus 로고    scopus 로고
    • A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation
    • W. Jiang, and Z. Chen A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation Numer. Methods Part. Differ. Equ. 30 2014 289 300
    • (2014) Numer. Methods Part. Differ. Equ. , vol.30 , pp. 289-300
    • Jiang, W.1    Chen, Z.2
  • 36
    • 84878159457 scopus 로고    scopus 로고
    • A numerical method for singularly perturbed turning point problems with an interior layer
    • F. Geng, S.P. Qian, and S. Li A numerical method for singularly perturbed turning point problems with an interior layer J. Comput. Appl. Math. 255 2014 97 105
    • (2014) J. Comput. Appl. Math. , vol.255 , pp. 97-105
    • Geng, F.1    Qian, S.P.2    Li, S.3


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