A new algorithm based on differential transform method for solving multi-point boundary value problems
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[1] G. E. Pukhov,et al. Differential transforms and circuit theory , 1982 .
[2] D. Ganji,et al. Approximate solution of the nonlinear heat transfer equation of a fin with the power-law temperature-dependent thermal conductivity and heat transfer coefficient , 2014 .
[3] X. Y. Li,et al. A novel method for nonlinear singular fourth order four-point boundary value problems , 2011, Comput. Math. Appl..
[4] Mehdi Dehghan,et al. An efficient method for solving multi-point boundary value problems and applications in physics , 2012 .
[5] Shih-Hsiang Chang,et al. A new algorithm for calculating two-dimensional differential transform of nonlinear functions , 2009, Appl. Math. Comput..
[6] Bing Liu. Solvability of multi-point boundary value problem at resonance--Part IV , 2003, Appl. Math. Comput..
[7] J. Henderson,et al. Positive solutions for singular systems of multi‐point boundary value problems , 2013 .
[8] Qingliu Yao,et al. Successive iteration and positive solution for nonlinear second-order three-point boundary value problems , 2005 .
[9] Johnny Henderson,et al. Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations , 2007 .
[10] H. Fatoorehchi,et al. An Explicit Analytic Solution to the Thomas-Fermi Equation by the Improved Differential Transform Method , 2014 .
[11] Hooman Fatoorehchi,et al. Improving the differential transform method: A novel technique to obtain the differential transforms of nonlinearities by the Adomian polynomials , 2013 .
[12] L. Kong,et al. Higher order multi‐point boundary value problems , 2011 .
[13] Ran Zhang,et al. On numerical studies of multi-point boundary value problem and its fold bifurcation , 2007, Appl. Math. Comput..
[14] Muhammad Aslam Noor,et al. Numerical comparison of methods for solving a special fourth-order boundary value problem , 2007, Appl. Math. Comput..
[15] Johnny Henderson,et al. Uniqueness of solutions of linear nonlocal boundary value problems , 2008, Appl. Math. Lett..
[16] Fazhan Geng,et al. Multi-point boundary value problem for optimal bridge design , 2010, Int. J. Comput. Math..
[17] Vineet K. Srivastava,et al. (1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM , 2014 .
[18] Mehdi Dehghan,et al. The use of Sinc-collocation method for solving multi-point boundary value problems , 2012 .
[19] Minggen Cui,et al. A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space , 2012, Appl. Math. Comput..
[20] Mehdi Dehghan,et al. The use of the Adomian decomposition method for solving multipoint boundary value problems , 2006 .
[21] J. Webb,et al. Third order boundary value problems with nonlocal boundary conditions , 2009 .
[22] Fazhan Geng,et al. Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method , 2009, Appl. Math. Comput..
[23] Shih-Hsiang Chang,et al. A new algorithm for calculating one-dimensional differential transform of nonlinear functions , 2008, Appl. Math. Comput..
[24] Jun-Sheng Duan,et al. Convenient analytic recurrence algorithms for the Adomian polynomials , 2011, Appl. Math. Comput..
[25] Minggen Cui,et al. A numerical solution to nonlinear multi-point boundary value problems in the reproducing kernel space , 2011 .
[26] S. Mosayebidorcheh. Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method , 2013 .
[27] Boying Wu,et al. REPRODUCING KERNEL METHOD FOR SINGULAR FOURTH ORDER FOUR-POINT BOUNDARY VALUE PROBLEMS , 2011 .
[28] Ibrahim Özkol,et al. Solution of differential-difference equations by using differential transform method , 2006, Appl. Math. Comput..
[29] Yingzhen Lin,et al. A numerical algorithm for solving a class of linear nonlocal boundary value problems , 2010, Appl. Math. Lett..
[30] Jun-Sheng Duan. An efficient algorithm for the multivariable Adomian polynomials , 2010, Appl. Math. Comput..
[31] Siraj-ul-Islam,et al. The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method , 2010, Comput. Math. Appl..
[32] S. Mosayebidorcheh. Analytical investigation of the micropolar flow through a porous channel with changing walls , 2014 .
[33] Ibrahim Özkol,et al. Solution of boundary value problems for integro-differential equations by using differential transform method , 2005, Appl. Math. Comput..
[34] J. Webb,et al. Solvability ofm-Point Boundary Value Problems with Nonlinear Growth , 1997 .
[35] Ahmed Alsaedi,et al. Convection-radiation thermal analysis of triangular porous fins with temperature-dependent thermal conductivity by DTM , 2014 .
[36] Ibrahim Özkol,et al. Solutions of integral and integro-differential equation systems by using differential transform method , 2008, Comput. Math. Appl..
[37] T. Allahviranloo,et al. Application of fuzzy differential transform method for solving fuzzy Volterra integral equations , 2013 .
[38] Shaher Momani,et al. Comparing numerical methods for solving fourth-order boundary value problems , 2007, Appl. Math. Comput..
[39] Vineet K. Srivastava,et al. Numerical approximation for HIV infection of CD4+ T cells mathematical model , 2014 .
[40] Jarruwat Charoensuk,et al. Vibration response of stepped FGM beams with elastically end constraints using differential transformation method , 2014 .
[41] Mehdi Dehghan,et al. A semi‐numerical technique for solving the multi‐point boundary value problems and engineering applications , 2011 .
[42] A. Yildirim,et al. The modified algorithm for the differential transform method to solution of Genesio systems , 2012 .
[43] Zaid M. Odibat,et al. Differential transform method for solving Volterra integral equation with separable kernels , 2008, Math. Comput. Model..
[44] Jafar Biazar,et al. Analytic solution for Telegraph equation by differential transform method , 2010 .
[45] M. A. Aziz-Alaoui,et al. A multi-step differential transform method and application to non-chaotic or chaotic systems , 2010, Comput. Math. Appl..
[46] Boying Wu,et al. Reproducing kernel method for singular multi-point boundary value problems , 2012 .
[47] Hooman Fatoorehchi,et al. Computation of analytical Laplace transforms by the differential transform method , 2012, Math. Comput. Model..
[48] F. Z. Geng. A numerical algorithm for nonlinear multi-point boundary value problems , 2012, J. Comput. Appl. Math..
[49] W. R. Dean. On the Theory of Elastic Stability , 1925 .
[50] Ibrahim Özkol,et al. Solution of difference equations by using differential transform method , 2006, Appl. Math. Comput..
[51] C. P. Gupta,et al. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation , 1992 .
[52] X. Y. Li,et al. A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method , 2011, Appl. Math. Lett..
[53] V. Pereyra,et al. A variable order finite difference method for nonlinear multipoint boundary value problems , 1974 .
[54] Vedat Suat Ertürk,et al. Solutions of non-linear oscillators by the modified differential transform method , 2008, Comput. Math. Appl..
[55] Man Kam Kwong,et al. The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE , 2006 .
[56] Jun-Sheng Duan. Recurrence triangle for Adomian polynomials , 2010, Appl. Math. Comput..