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Volumn 2008, Issue , 2008, Pages

A two-stage LGSM for three-point BVPs of second-order ODEs

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EID: 52449088249     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2008/963753     Document Type: Article
Times cited : (10)

References (36)
  • 2
    • 0022791144 scopus 로고
    • "Numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections - I: A survey and comparison of some one-step formulae"
    • J. R. Cash, "Numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections - I: A survey and comparison of some one-step formulae," Computers & Mathematics with Applications, vol. 12, no. 10, part 1, pp. 1029-1048, 1986.
    • (1986) Computers & Mathematics With Applications , vol.12 , Issue.10 PART 1 , pp. 1029-1048
    • Cash, J.R.1
  • 3
    • 0000257129 scopus 로고
    • "On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections - II: The development and analysis of highly stable deferred correction formulae"
    • J. R. Cash, "On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections - II: The development and analysis of highly stable deferred correction formulae," SIAM Journal on Numerical Analysis, vol. 25, no. 4, pp. 862-882, 1988.
    • (1988) SIAM Journal on Numerical Analysis , vol.25 , Issue.4 , pp. 862-882
    • Cash, J.R.1
  • 4
    • 0032182567 scopus 로고    scopus 로고
    • "Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems"
    • J. R. Cash and R.W.Wright, "Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems," Applied Numerical Mathematics, vol. 28, no. 2-4, pp. 227-244, 1998.
    • (1998) Applied Numerical Mathematics , vol.28 , Issue.2-4 , pp. 227-244
    • Cash, J.R.1    Wright, R.W.2
  • 7
    • 0005338184 scopus 로고    scopus 로고
    • "An algorithm for solving boundary value problems"
    • E. Deeba, S. A. Khuri, and S. Xie, "An algorithm for solving boundary value problems," Journal of Computational Physics, vol. 159, no. 2, pp. 125-138, 2000.
    • (2000) Journal of Computational Physics , vol.159 , Issue.2 , pp. 125-138
    • Deeba, E.1    Khuri, S.A.2    Xie, S.3
  • 8
    • 0019008419 scopus 로고
    • "Improved shooting techniques for linear boundary value problems"
    • V. K. Garg, "Improved shooting techniques for linear boundary value problems," Computer Methods in Applied Mechanics and Engineering, vol. 22, no. 1, pp. 87-99, 1980.
    • (1980) Computer Methods in Applied Mechanics and Engineering , vol.22 , Issue.1 , pp. 87-99
    • Garg, V.K.1
  • 9
    • 0035500967 scopus 로고    scopus 로고
    • "A nonlinear shooting method for two-point boundary value problems"
    • S. N. Ha, "A nonlinear shooting method for two-point boundary value problems," Computers & Mathematics with Applications, vol. 42, no. 10-11, pp. 1411-1420, 2001.
    • (2001) Computers & Mathematics With Applications , vol.42 , Issue.10-11 , pp. 1411-1420
    • Ha, S.N.1
  • 10
    • 0036902754 scopus 로고    scopus 로고
    • "Numerical study for two-point boundary value problems using Green's functions"
    • S. N. Ha and C. R. Lee, "Numerical study for two-point boundary value problems using Green's functions," Computers & Mathematics with Applications, vol. 44, no. 12, pp. 1599-1608, 2002.
    • (2002) Computers & Mathematics With Applications , vol.44 , Issue.12 , pp. 1599-1608
    • Ha, S.N.1    Lee, C.R.2
  • 11
    • 41949104996 scopus 로고    scopus 로고
    • "A numerical approach to nonlinear two-point boundary value problems for ODEs"
    • S. Cuomo and A. Marasco, "A numerical approach to nonlinear two-point boundary value problems for ODEs," Computer & Mathematics with Applications, vol. 55, no. 11, pp. 2476-2489, 2008.
    • (2008) Computer & Mathematics With Applications , vol.55 , Issue.11 , pp. 2476-2489
    • Cuomo, S.1    Marasco, A.2
  • 12
    • 34848865658 scopus 로고    scopus 로고
    • "Numerical solution of a singularly perturbed three-point boundary value problem"
    • M. Cakir and G. M. Amiraliyev, "Numerical solution of a singularly perturbed three-point boundary value problem," International Journal of Computer Mathematics, vol. 84, no. 10, pp. 1465-1481, 2007.
    • (2007) International Journal of Computer Mathematics , vol.84 , Issue.10 , pp. 1465-1481
    • Cakir, M.1    Amiraliyev, G.M.2
  • 13
    • 34248190802 scopus 로고    scopus 로고
    • "A three-point boundary value problem with an integral two-space-variables condition for parabolic equations"
    • A. L. Marhoune, "A three-point boundary value problem with an integral two-space-variables condition for parabolic equations," Computers & Mathematics with Applications, vol. 53, no. 6, pp. 940-947, 2007.
    • (2007) Computers & Mathematics With Applications , vol.53 , Issue.6 , pp. 940-947
    • Marhoune, A.L.1
  • 14
    • 14744292817 scopus 로고    scopus 로고
    • "Existence and uniqueness of solutions to a super-linear three-point boundary-value problem"
    • B. Calvert and C. P. Gupta, "Existence and uniqueness of solutions to a super-linear three-point boundary-value problem," Electronic Journal of Differential Equations, vol. 2005, no. 19, pp. 1-21, 2005.
    • (2005) Electronic Journal of Differential Equations , vol.2005 , Issue.19 , pp. 1-21
    • Calvert, B.1    Gupta, C.P.2
  • 15
    • 43149087062 scopus 로고    scopus 로고
    • "Solvability for two classes of higher-order multi-point boundary value problems at resonance"
    • Article ID 723828, 14 pages
    • Y. Gao and M. Pei, "Solvability for two classes of higher-order multi-point boundary value problems at resonance," Boundary Value Problems, vol. 2008, Article ID 723828, 14 pages, 2008.
    • (2008) Boundary Value Problems , vol.2008
    • Gao, Y.1    Pei, M.2
  • 16
    • 41949129777 scopus 로고    scopus 로고
    • "Global behavior of the components for the second order m-point boundary value problems"
    • Article ID 254593, 10 pages
    • Y. An and R. Ma, "Global behavior of the components for the second order m-point boundary value problems," Boundary Value Problems, vol. 2008, Article ID 254593, 10 pages, 2008.
    • (2008) Boundary Value Problems , vol.2008
    • An, Y.1    Ma, R.2
  • 17
    • 38949209871 scopus 로고    scopus 로고
    • "Existence of symmetric positive solutions for an m-point boundary value problem"
    • Article ID 79090, 14 pages
    • Y. Sun and X. Zhang, "Existence of symmetric positive solutions for an m-point boundary value problem," Boundary Value Problems, vol. 2007, Article ID 79090, 14 pages, 2007.
    • (2007) Boundary Value Problems , vol.2007
    • Sun, Y.1    Zhang, X.2
  • 18
    • 52449097466 scopus 로고    scopus 로고
    • "Several existence theorems of monotone positive solutions for third-order multipoint boundary value problems"
    • Article ID 17951, 9 pages
    • W. Jiang and F. Li, "Several existence theorems of monotone positive solutions for third-order multipoint boundary value problems," Boundary Value Problems, vol. 2007, Article ID 17951, 9 pages, 2007.
    • (2007) Boundary Value Problems , vol.2007
    • Jiang, W.1    Li, F.2
  • 19
    • 52449120338 scopus 로고    scopus 로고
    • "Existence of positive solutions for fourth-order three-point boundary value problems"
    • Article ID 68758, 10 pages
    • C. Bai, "Existence of positive solutions for fourth-order three-point boundary value problems," Boundary Value Problems, vol. 2007, Article ID 68758, 10 pages, 2007.
    • (2007) Boundary Value Problems , vol.2007
    • Bai, C.1
  • 20
    • 0001070154 scopus 로고
    • "Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation"
    • C. P. Gupta, "Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation," Journal of Mathematical Analysis and Applications, vol. 168, no. 2, pp. 540-551, 1992.
    • (1992) Journal of Mathematical Analysis and Applications , vol.168 , Issue.2 , pp. 540-551
    • Gupta, C.P.1
  • 21
    • 0000830764 scopus 로고
    • "A note on a second order three-point boundary value problem"
    • C. P. Gupta, "A note on a second order three-point boundary value problem," Journal of Mathematical Analysis and Applications, vol. 186, no. 1, pp. 277-281, 1994.
    • (1994) Journal of Mathematical Analysis and Applications , vol.186 , Issue.1 , pp. 277-281
    • Gupta, C.P.1
  • 22
    • 33744827372 scopus 로고    scopus 로고
    • "The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE"
    • M. K. Kwong, "The shooting method and multiple solutions of two/ multi-point BVPs of second-order ODE," Electronic Journal of Qualitative Theory of Di.erential Equations, vol. 2006, no. 6, pp. 1-14, 2006.
    • (2006) Electronic Journal of Qualitative Theory of Di.erential Equations , vol.2006 , Issue.6 , pp. 1-14
    • Kwong, M.K.1
  • 23
    • 52449113563 scopus 로고    scopus 로고
    • "Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions"
    • B. Ahmad, R. Ali Khan, and P. W. Eloe, "Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions," Electronic Journal of Differential Equations, vol. 2002, no. 90, pp. 1-12, 2002.
    • (2002) Electronic Journal of Differential Equations , vol.2002 , Issue.90 , pp. 1-12
    • Ahmad, B.1    Ali Khan, R.2    Eloe, P.W.3
  • 24
    • 0035480574 scopus 로고    scopus 로고
    • "Cone of non-linear dynamical system and group preserving schemes"
    • C.-S. Liu, "Cone of non-linear dynamical system and group preserving schemes," International Journal of Non-Linear Mechanics, vol. 36, no. 7, pp. 1047-1068, 2001.
    • (2001) International Journal of Non-Linear Mechanics , vol.36 , Issue.7 , pp. 1047-1068
    • Liu, C.-S.1
  • 25
    • 33744980037 scopus 로고    scopus 로고
    • "The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions"
    • C.-S. Liu, "The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions," Computer Modeling in Engineering & Sciences, vol. 13, no. 2, pp. 149-163, 2006.
    • (2006) Computer Modeling in Engineering & Sciences , vol.13 , Issue.2 , pp. 149-163
    • Liu, C.-S.1
  • 26
    • 33845426680 scopus 로고    scopus 로고
    • "Effcient shooting methods for the second-order ordinary differential equations"
    • C.-S. Liu, "Effcient shooting methods for the second-order ordinary differential equations," Computer Modeling in Engineering & Sciences, vol. 15, no. 2, pp. 69-86, 2006.
    • (2006) Computer Modeling in Engineering & Sciences , vol.15 , Issue.2 , pp. 69-86
    • Liu, C.-S.1
  • 27
    • 33845427623 scopus 로고    scopus 로고
    • "The Lie-group shooting method for singularly perturbed two-point boundary value problems"
    • C.-S. Liu, "The Lie-group shooting method for singularly perturbed two-point boundary value problems," Computer Modeling in Engineering & Sciences, vol. 15, no. 3, pp. 179-196, 2006.
    • (2006) Computer Modeling in Engineering & Sciences , vol.15 , Issue.3 , pp. 179-196
    • Liu, C.-S.1
  • 28
    • 33847712471 scopus 로고    scopus 로고
    • "A new shooting method for quasi-boundary regularization of backward heat conduction problems"
    • J. R. Chang, C.-S. Liu, and C. W. Chang, "A new shooting method for quasi-boundary regularization of backward heat conduction problems," International Journal of Heat and Mass Transfer, vol. 50, no. 11-12, pp. 2325-2332, 2007.
    • (2007) International Journal of Heat and Mass Transfer , vol.50 , Issue.11-12 , pp. 2325-2332
    • Chang, J.R.1    Liu, C.-S.2    Chang, C.W.3
  • 29
    • 41649113492 scopus 로고    scopus 로고
    • "An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature"
    • C.-S. Liu, "An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature," International Journal of Heat and Mass Transfer, vol. 51, no. 9-10, pp. 2603-2613, 2008.
    • (2008) International Journal of Heat and Mass Transfer , vol.51 , Issue.9-10 , pp. 2603-2613
    • Liu, C.-S.1
  • 30
    • 46449098515 scopus 로고    scopus 로고
    • "An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradient"
    • J.-S. Liu, "An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradient," Computers, Materials & Continua, vol. 7, no. 2, pp. 81-95, 2008.
    • (2008) Computers, Materials & Continua , vol.7 , Issue.2 , pp. 81-95
    • Liu, J.-S.1
  • 31
    • 43049107224 scopus 로고    scopus 로고
    • "Solving an inverse Sturm-Liouville problem by a Lie-group method"
    • Article ID 749865, 18 pages
    • C.-S. Liu, "Solving an inverse Sturm-Liouville problem by a Lie-group method," Boundary Value Problems, vol. 2008, Article ID 749865, 18 pages, 2008.
    • (2008) Boundary Value Problems , vol.2008
    • Liu, C.-S.1
  • 33
    • 0001333843 scopus 로고    scopus 로고
    • "Positive solutions of a nonlinear three-point boundary-value problem"
    • R. Ma, "Positive solutions of a nonlinear three-point boundary-value problem," Electric Journal of Differential Equations, vol. 1998, no. 34, pp. 1-8, 1998.
    • (1998) Electric Journal of Differential Equations , vol.1998 , Issue.34 , pp. 1-8
    • Ma, R.1
  • 34
    • 33846661305 scopus 로고    scopus 로고
    • " Positive solutions for singular three-point boundary-value problems"
    • Z. Zhao, " Positive solutions for singular three-point boundary-value problems," Electronic Journal of Differential Equations, vol. 2007, no. 156, pp. 1-8, 2007.
    • (2007) Electronic Journal of Differential Equations , vol.2007 , Issue.156 , pp. 1-8
    • Zhao, Z.1
  • 35
    • 38849095711 scopus 로고    scopus 로고
    • "The shooting method and nonhomogeneous multipoint BVPs of second-order ODE"
    • Article ID 64012, 16 pages
    • M. K. Kwong and J. S. W. Wong, "The shooting method and nonhomogeneous multipoint BVPs of second-order ODE," Boundary Value Problems, vol. 2007, Article ID 64012, 16 pages, 2007.
    • (2007) Boundary Value Problems , vol.2007
    • Kwong, M.K.1    Wong, J.S.W.2
  • 36
    • 5344232128 scopus 로고    scopus 로고
    • "Double solutions of three-point boundary-value problems for second-order differential equations"
    • J. Henderson, "Double solutions of three-point boundary-value problems for second-order differential equations," Electronic Journal of Differential Equations, vol. 2004, no. 115, pp. 1-7, 2004.
    • (2004) Electronic Journal of Differential Equations , vol.2004 , Issue.115 , pp. 1-7
    • Henderson, J.1


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