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er finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind", J. Comput.
Appl. Math., 114, pp. 275-290.
[54] M.A. Noor, S.T. Mohyud-Din (2007), "A efficient method for fourth-order
boundary value problems", Comput. Math. Appl., 54, pp. 1101-1111.
[55] C.V. Pao (2000), "On fourth-order elliptic boundary value problems", Proc.
Amer. Math. Soc., 128, pp. 1023-1030.
[56] C.V. Pao (2001), "Numerical methods for fourth order nonlinear elliptic
boundary value problems", Numer. Meth. Part. Diff. Equ., 17, pp. 347-368.
[57] R. Pei (2010), "Multiple solutions for biharmonic equations with asymptotically linear nonlinearities", Bound. Value Probl., 2010, Article ID 241518.
[58] M. Pei, S.K. Chang (2011), "Existence of solutions for a fully nonlinear fourthorder two-point boundary value problem", J. Appl. Math. Comput., 37, pp.
287-295.
[59] M.H. Protter, H.F. Weinberger (1984), Maximum Principles in Differential
Equations, Springer.
[60] M. Ronto, A.M. Samoilenko (2000), Numerical Analytic methods in the theory
of boundary value problem, World Sci. Publ, Singapore.
[61] A.A. Samarskii (2001), The Theory of Difference Schemes, New York, Marcel
Dekker.
[62] A.A. Samarskii, E. Nikolaev (1989), Numerical methods for grid equation, vol.
1: Direct Method, Birkhauser, Basel.
[63] J. Talwar, R.K. Mohanty (2012), "A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates",
Adv. Numer. Anal., 2012, Article ID 626419, 20 pages.
[64] B. Yang (2005), "Positive solutions for a fourth order boundary value problem", Elect. J. Quali. Theo. Diff. Equa., 3, pp. 1-17.

134


[65] S. Yardimci, E. Ugurlu (2014), "Nonlinear fourth order boundary value problem", Bound. Value Prob., 2014:189.
[66] F. Wang, Y. An (2012), "Existence and multiplicity of solutions for a fourthorder elliptic equation", Bound. Value Probl., 2012, 2012:6.
[67] Y.M. Wang (2005), "On fourth-order elliptic boundary value problems with
nonmonotone nonlinear function", J. Math. Anal. Appl., 307, pp. 1-11.
[68] Y.M. Wang (2006), "Convergence analysis of a monotone method for fourthorder semilinear elliptic boundary vale problems", Appl. Math. Lett., 19, pp.


332-339.
[69] Y.M. Wang (2007), "Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary vale problems", J. Comput.
Appl. Math., 200, pp. 503-519.
[70] Y.M. Wang (2007), "Monotone iterative technique for numerical solutions of
fourth-order nonlinear elliptic boundary value problems", Appl. Numer. Math.,
57, pp. 1081-1096.
[71] E. Zeidler (1986), Nonlinear functional analysis and its applications, I: FixedPoint Theorems, Springer.

135



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