[1] S. Abbasbandy, E. Magyari, and E. Shivanian, The homotopy analysis method for multiple solutions of nonlinear boundary value problems, Commun. Nonlinear Sci. Numer. Simulat., 14 (2009) 3530–3536.
[2] S. Abbasbandy and E. Shivanian, Prediction of multiplicity of solutions of nonlinear boundary value problems: Novel application of homotopy analysis method, Commun. Nonlinear Sci. Numer. Simulat., 15 (2010) 3830–3846.
[3] S. Abbasbandy and E. Shivanian, Predictor homotopy analysis method and its application to some nonlinear problems, Commun. Nonlinear Sci. Nmer. Simulat., 16 (2011) 2456–2468.
[4] A. Akgül and M.S.Hashemi, Group preserving scheme and reproducing kernel method for the Poisson–Boltzmann equation for semiconductor devices, Nonlinear Dynamics 88(4) (2017) 2817-2829.
[5] M. Anbarloei and E. Shivanian, Exact closed-form solution of the nonlinear fin problem with temperaturedependent thermal conductivity and heat transfer coefficient, Journal of Heat Transfer, 138(11) (2016) 114501.
[6] N.H. Asmar, Partial differential equations with Fourier series and boundary value problems, Courier Dover Publications, (2016).
[7] D. Bhanja and B. Kundu, Thermal analysis of a constructal t-shaped porous fin with radiation effects. international journal of refrigeration, 34(6) (2011) 1483–1496.
[8] M.T. Darvishi, R. Subba, R. Gorla, F. Khani, and A. Aziz, Thermal performance of a porus radial fin with natural convection and radiative heat losses, Thermal Science, 19(2) (2015) 669–678.
[9] N. Duvvuru and K.S. Swarup, A hybrid interior point assisted differential evolution algorithm for economic dispatch, IEEE Transactions on Power Systems, 26(2) (2011) 541–549.
[10] D.D. Ganji, The application of he’s homotopy perturbation method to nonlinear equations arising in heat transfer, Phys. Lett. A, 335 (2006) 337–341.
[11] S.E. Ghasemi, P. Valipour, M. Hatami, and D.D. Ganji, Heat transfer study on solid and porous convective fins with temperature-dependent heat generation using efficient analytical method, J. Cent. South Univ., 21(12) (2014) 4592–4598.
[12] R. Gorla, R.S. Darvishi, and M.T. Khani, Effects of variable thermal conductivity on natural convection and radiation in porous fins, Int. Commun. Heat Mass Transfer, 38 (2013) 638–645.
[13] M.S. Hashemi, A novel simple algorithm for solving the magneto-hemodynamic flow in a semiporous channel, European Journal of Mechanics-B/Fluids 65 (2017) 359-367.
[14] M.S. Hashemi and S. Abbasbandy, A geometric approach for solving Troesch’s problem, Bulletin of the Malaysian Mathematical Sciences Society 40(1) (2017) 97-116.
[15] M. Hatami and D.D. Ganji, Thermal performance of circular convective–radiative porous fins with different section shapes and materials, Energy Conversion and Management, 76 (2013) 185–193.
[16] J.P.J. Heemskerk, F.G. Van Kuik, H.F.P. Knaap, and J.J.M. Beenakker, The thermal conductivity of gases in a magnetic field: The temperature dependence, Physica, 71(3) (1974) 484 – 514.
[17] H.A. Hoshyar, D.D. Ganji, and M. Abbasi, Determination of temperature distribution for porous fin with temperature-dependent heat generation by homotopy analysis method, J Appl Mech Eng, 4(153) (2015) 2.
[18] N. Karmarkar, A new polynomial-time algorithm for linear programming, In Proceedings of the sixteenth annual ACM symposium on Theory of computing, ACM, (1984) 302–311.
[19] S. Kim and C.H. Huang, A series solution of the non-linear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient, J. Phys. D: Appl. Phys., 40 (2007) 2979–2987.
[20] F. Khani, M. A. Raji, and H. Hamedi-Nejad, Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient, Commun. Nonlinear Sci. Numer. Simulat., 14 (2009) 3327–3338.
[21] S. Kiwan, Effect of radiative losses on the heat transfer from porous fins, International journal of thermal sciences, 46(10) (2007) 1046–1055.
[22] S. Kiwan, Thermal analysis of natural convection porous fins, Transport in porous media, 67(1) (2007) 17–29.
[23] S. Kiwan and M. Al-Nimr, Using porous fins for heat transfer enhancement, Tc, 1(2) (2001).
[24] S. Kiwan and O. Zeitoun, Natural convection in a horizontal cylindrical annulus using porous fins, International Journal of Numerical Methods for Heat & Fluid Flow, 18(5) (2008) 618–634.
[25] B. Kundu, Performance and optimization analysis of src profile fins subject to simultaneous heat and mass transfer, International journal of heat and mass transfer, 50(7) (2007) 1545–1558.
[26] S.J. Liao, Beyond perturbation: introduction to the homotopy analysis method, Chapman & Hall/CRC Press, London/Boca Raton (FL), (2003).
[27] S.J. Liao, homotopy analysis method in nonlinear differential equations, Springer-Verlag, Beijing, (2012).
[28] A. Moradi, T. Hayat, and A. Alsaedi, Convection-radiation thermal analysis of triangular porous fins with temperature-dependent thermal conductivity by dtm, Energy Conversion and Management, 77 (2014) 70–77.
[29] M. Neek-Amal, R. Moussavi, and H.R. Sepangi, Monte carlo simulation of size effects on thermal conductivity in a two-dimensional ising system, Physica A: Statistical Mechanics and its Applications, 371(2) (2006) 424 – 432.
[30] M. AZ. Raja and R. Samar, Numerical treatment for nonlinear mhd jeffery–hamel problem using neural networks optimized with interior point algorithm, Neurocomputing, 124 (2014) 178–193.
[31] T.J. Rivlin, Chebyshev polynomials, john wiley and sons, New York, (1990).
[32] Y. Rostamiyan, D.D. Ganji, R.I. Petroudi, and Kh. Mehdi-Nejad, Analytical investigation of nonlinear model arising in heat transfer through the porous fin, Thermal science, 18(2) (2014) 409–417.
[33] S. Saedodin and A. Sadeghi, Temperature distribution in long porous fins in natural convection condition, Middle-East J Sci Res, 13(6) (2013) 812–827.
[34] S. Saedodin and M. Shahbabaei, Thermal analysis of natural convection in porous fins with homotopy perturbation method (hpm), Arabian Journal for Science & Engineering (Springer Science & Business Media BV), 38(8) (2013).
[35] E. Shivanian, H.H. Alsulami, M.S. Alhuthali, and S. Abbasbandy, Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear navier boundary condition: Existenceof four solutions, Filomat, 28(8) (2014) 1687–1697.
[36] R.M. Slevinsky and H. Safouhi, New formulae for higher order derivatives and applications, Journal of computational and applied mathematics, 233(2) (2009) 405–419.
[37] M.G. Sobamowo, O.M. Kamiyo, and O.A. Adeleye, Thermal performance analysis of a natural convection porous fin with temperature-dependent thermal conductivity and internal heat generation, Thermal Science and Engineering Progress, 1 (2017) 39–52.
[38] R. Subba, R. Gorla and A.Y. Bakier, Thermal analysis of natural convection and radiation in porous
fins, International Communications in Heat and Mass Transfer, 38(5) (2011) 638–645.
[39] H. Tari, D.D. Ganji, and H. Babazadeh, The application of he’s variational iteration method to nonlinear
equations arising in heat transfer, Phys. Lett. A, 363 (2007) 213–217.
[40] H. Vosoughi, E. Shivanian, and S. Abbasbandy, Unique and multiple PHAM series solutions of a
class of nonlinear reactive transport model, Numer Algor., 61(3) (2012) 515–524.
[41] S.J. Wright, Primal-dual interior-point methods, SIAM, (1997).
[42] M. Wright, The interior-point revolution in optimization: history, recent developments, and lasting consequences, Bulletin of the American mathematical society, 42(1) (2005) 39–56.
[43] W. Yan, L. Wen, W. Li, C.Y. Chung, and K.P. Wong, Decomposition–coordination interior point method and its application to multi-area optimal reactive power flow, International Journal of Electrical Power & Energy Systems, 33(1) (2011) 55–60.