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Volumn 240, Issue , 2014, Pages 229-239

A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type

Author keywords

Fredholm Volterra; Periodic; Reproducing kernel

Indexed keywords

INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL METHODS;

EID: 84901270327     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.04.057     Document Type: Article
Times cited : (54)

References (37)
  • 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. Math. Anal. 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 Int. 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
    • 0000626549 scopus 로고
    • Periodic boundary value problem for Integro-differential equations with general kernel
    • E. Liz, and J.J. Nieto Periodic boundary value problem for Integro-differential equations with general kernel Dynamic Systems Appl. 3 1994 297 304
    • (1994) Dynamic Systems Appl. , vol.3 , pp. 297-304
    • Liz, E.1    Nieto, J.J.2
  • 8
    • 3042938744 scopus 로고    scopus 로고
    • The Generalized Solutions of PBVP for Integro-Differential Equations
    • W. Zhuang, and Y. Chen The generalized solutions of PBVP for Integro-differential equations Systems Sci. Math. Sci. 9 1996 145 150 (Pubitemid 126091349)
    • (1996) Systems science and mathematics sciences , vol.9 , Issue.2 , pp. 145-150
    • Zhuang, W.1    Chen, Y.2
  • 9
    • 0040357195 scopus 로고
    • On monotone iterative method for periodic boundary value problems of nonlinear Integro-differential equations
    • Y. Chen, and W. Zhuang On monotone iterative method for periodic boundary value problems of nonlinear Integro-differential equations Nonlinear Anal. 22 1994 295 303
    • (1994) Nonlinear Anal. , vol.22 , pp. 295-303
    • Chen, Y.1    Zhuang, W.2
  • 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
    • 9644294315 scopus 로고    scopus 로고
    • Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type
    • W. Zhuang, Y. Chen, and J. Chen Remarks on the periodic boundary value problems for integrodifferential equations of Volterra type Comput. Math. Appl. 47 2004 1641 1646
    • (2004) Comput. Math. Appl. , vol.47 , pp. 1641-1646
    • Zhuang, W.1    Chen, Y.2    Chen, J.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 (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 (Article ID 365792, 18 pages)
    • (2012) Discrete Dyn. Nat. Soc. , vol.2012 , pp. 18
    • 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 (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 Abstr. Appl. Anal. 2012 2012 10.1155/2012/839836 (Article ID 839836, 16 pages)
    • (2012) Abstr. Appl. Anal. , vol.2012 , pp. 16
    • 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 17 2013 8938 8948
    • (2013) Appl. Math. Comput. , vol.219 , Issue.17 , 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
    • (Article ID 832074)
    • M. Al-Smadi, O. Abu Arqub, S. Momani, A computational method for two-point boundary value problems of fourth-order mixed integro-differential equations, Math. Probl. Eng. 2013 (2013), http://dx.doi.org/10.1155/2013/832074 (Article ID 832074, 10 pages).
    • (2013) Math. Probl. Eng. , Issue.2013 , pp. 10
    • Al-Smadi, M.1    Abu Arqub, O.2    Momani, S.3
  • 21
    • 84901256970 scopus 로고    scopus 로고
    • An iterative method for solving fourth-order boundary value problems of mixed type Integro-differential equations
    • in press
    • O. Abu Arqub, An iterative method for solving fourth-order boundary value problems of mixed type Integro-differential equations, J. Comput. Anal. Appl., in press.
    • J. Comput. Anal. Appl.
    • Abu Arqub, O.1
  • 22
    • 84871437077 scopus 로고    scopus 로고
    • Solving singular two-point boundary value problems using continuous genetic algorithm
    • 10.1155/2012/205391 (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 Abstr. Appl. Anal. 2012 2012 10.1155/2012/205391 (Article ID 205391, 25 page)
    • (2012) Abstr. Appl. Anal. , vol.2012 , pp. 25
    • 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. Inf. Sci. 8 2014 235 248
    • (2014) Appl. Math. Inf. Sci. , vol.8 , pp. 235-248
    • Abu Arqub, O.1    Abo-Hammour, Z.2    Momani, S.3
  • 24
    • 84897789166 scopus 로고    scopus 로고
    • Optimization solution of Troesch's and Bratu's problems of ordinary type using novel continuous genetic algorithm
    • 10.1155/2014/401696 (Article ID 401696)
    • Z. Abo-Hammour, O. Abu Arqub, S. Momani, and N. Shawagfeh Optimization solution of Troesch's and Bratu's problems of ordinary type using novel continuous genetic algorithm Discrete Dyn. Nat. Soc. 2014 2014 10.1155/2014/401696 (Article ID 401696, 15 pages)
    • (2014) Discrete Dyn. Nat. Soc. , vol.2014 , pp. 15
    • Abo-Hammour, Z.1    Abu Arqub, O.2    Momani, S.3    Shawagfeh, N.4
  • 29
    • 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
  • 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
    • 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
  • 32
    • 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
  • 33
    • 33751557307 scopus 로고    scopus 로고
    • Representation of exact solution for the nonlinear Volterra-Fredholm integral equations
    • DOI 10.1016/j.amc.2006.06.016, PII S0096300306005261
    • M. Cui, and H. Du Representation of exact solution for the nonlinear Volterra-Fredholm integral equations Appl. Math. Comput. 182 2006 1795 1802 (Pubitemid 44841977)
    • (2006) Applied Mathematics and Computation , vol.182 , Issue.2 , pp. 1795-1802
    • Cui, M.1    Du, H.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 Arqub, and S. Momani 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 Arqub, O.2    Momani, S.3
  • 35
    • 84899409667 scopus 로고    scopus 로고
    • A Numerical iterative method for solving systems of first-order periodic boundary value problems
    • 10.1155/2014/135465 (Article ID 135465)
    • M. AL-Smadi, O. Abu Arqub, and A. El-Ajou A Numerical iterative method for solving systems of first-order periodic boundary value problems J. Appl. Math. 2014 2014 10.1155/2014/135465 (Article ID 135465, 10 pages)
    • (2014) J. Appl. Math. , vol.2014 , pp. 10
    • Al-Smadi, M.1    Abu Arqub, O.2    El-Ajou, A.3
  • 36
    • 0037845043 scopus 로고    scopus 로고
    • The exact solution for solving a class nonlinear operator equations in the reproducing kernel space
    • C. Li, and M. Cui The exact solution for solving a class nonlinear operator equations in the reproducing kernel space Appl. Math. Comput. 143 2003 393 399
    • (2003) Appl. Math. Comput. , vol.143 , pp. 393-399
    • Li, C.1    Cui, M.2
  • 37
    • 36649013207 scopus 로고    scopus 로고
    • A solution of an infinite system of quadratic equations in reproducing kernel space
    • Y. Lin, P. Chung, and M. Cui A solution of an infinite system of quadratic equations in reproducing kernel space Complex Anal. Oper. Theory 1 2007 571 579
    • (2007) Complex Anal. Oper. Theory , vol.1 , pp. 571-579
    • Lin, Y.1    Chung, P.2    Cui, M.3


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