Pushpa Publishing House

Journal Menu

Content

Volume 37 (2024)

Volume 24 (2021)

Volume 23 (2021)

Volume 22 (2021)

Special Issue II (2020)

Volume 21 (2020)

Volume 20 (2020)

Volume 19 (2020)

Volume 18 (2019)

Special Issue (2019)

Volume 17 (2019)

Volume 16 (2019)

Volume 15 (2018)

Volume 14 (2017)

Volume 13 (2016)

Volume 12 (2015)

Volume 11 (2015)

Volume 10 (2014)

Volume 9 (2014)

Volume 8 (2013)

Volume 7 (2013)

Volume 6 (2012)

Volume 5 (2011)

Volume 4 (2010)

Volume 3 (2009)

Volume 2 (2008)

Volume 1 (2007)

	Volume 1, Issue 3 Pg 233 - 342 (October 2007)
	Volume 1, Issue 2 Pg 113 - 232 (June 2007)
	Volume 1, Issue 1 Pg 1 - 112 (February 2007)

JP Journal of Heat and Mass Transfer

JP Journal of Heat and Mass Transfer
Volume 1, Issue 3, Pages 285 - 296 (October 2007)

A MODIFIED HOMOTOPY-PERTURBATION METHOD FOR PURELY NONLINEAR FIN-TYPE PROBLEMS M. S. H. Chowdhury (Malaysia) and I. Hashim (Malaysia) Received August 13, 2007 References:
[1] S. Abbasbandy, Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method, Appl. Math. Comput. 172 (2006), 431-438. [2] G. M. Abd El-Latif, A homotopy technique and a perturbation technique for non-linear problems, Appl. Math. Comput. 169 (2005), 576-588. [3] P. D. Arief, T. Hayat and S. Asghar, Homotopy perturbation method and axisymmetric flow over a stretching sheet, Int. J. Nonlinear Sci. Numer. Simul. 7(4) (2006), 399-406. [4] M. S. H. Chowdhury and I. Hashim, Solutions of a class of singular second-order IVPs by homotopy-perturbation method, Phys. Lett. A 365 (2007), 439-447. [5] M. S. H. Chowdhury and I. Hashim, Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method, Phys. Lett. A 368 (2007), 305-313. [6] M. S. H. Chowdhury and I. Hashim, Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations, Chaos, Solitons & Fractals, doi:10.1016/j.chaos.2007.06.091. [7] M. S. H. Chowdhury, I. Hashim and O. Abdulaziz, Application of homotopy-perturbation method to nonlinear population dynamics models, Phys. Lett. A doi:10.1016/j.physleta.2007.04.007. [8] M. S. H. Chowdhury, I. Hashim and S. Momani, The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system, Chaos, Solitons & Fractals (accepted). [9] D. D. Ganji, The application of He’s homotopy perturbation method to nonlinear equations arising in heat transfer, Phys. Lett. A 355 (2006), 337-341. [10] D. D. Ganji and A. Rajabi, Assessment of homotopy-perturbation and perturbation methods in heat radiation equations, Int. Comm. Heat Mass Transfer 33 (2006), 391-400. [11] T. S. Gill, A. Singh, H. Kaur, N. S. Saini and P. Bala, Ion-acoustic solitons in weakly relativistic plasma containing electron-positron and ion, Phys. Lett. A 361(4-5) (2007), 364-367. [12] K. W. Haley and J. W. Westwater, Boiling heat transfer from single fins, Proceedings of the 3rd International Heat Transfer Conference, Chicago, 1966. [13] J. H. He, Approximate analytical solution for seepage flow with fractional derivatives in porous media, Comput. Methods Appl. Mech. Engrg. 167(1-2) (1998), 57-68. [14] J. H. He, Homotopy perturbation technique, Comput. Methods Appl. Mech. Engrg. 178(3/4) (1999), 257-262. [15] J. H. He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, Inter. J. Non-Linear Mech. 35(1) (2000), 37-43. [16] J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, Appl. Math. Comput. 135 (2003), 73-79. [17] J. H. He, Comparison of homotopy perturbation method and homotopy analysis method, Appl. Math. Comput. 156 (2004), 527-539. [18] J. H. He, Non-perturbative Methods for Strongly Nonlinear Problems, Die Deutsche Bibliothek, Germany, 2006. [19] Q. D. Kern and D. A. Kraus, Extended Surface Heat Transfer, McGraw-Hill, New York, 1972. [20] F. S. Lai and Y. Y. Hsu, Temperature distribution in a fin partially cooled by nucleate boiling, AIChE J. 13 (1967), 817-821. [21] D. Lesnic and P. J. Heggs, A decomposition method for power-law fin-types problems, Int. Comm. Heat Mass Transfer 31(5) (2004), 673-682. [22] S. P. Liaw and R. H. Yeh, Fins with temperature dependent surface heat flux–I: Single heat transfer mode, Int. J. Heat Mass Transfer 37 (1994), 1509-1515. [23] S. P. Liaw and R. H. Yeh, Fins with temperature dependent surface heat flux–II: Multi-boiling heat transfer, Int. J. Heat Mass Transfer 37 (1994), 1517-1524. [24] G. L. Liu, Weighted residual decomposition method in nonlinear applied mathematics, Proceedings of the 6th Congress of Modern Mathematical and Mechanics, Suzhou, China, 1995. [25] S. T. Mohyud-Din and M. A. Noor, Homotopy perturbation method for solving fourth-order boundary value problems, Math. Prob. Engrg. doi:10.1155/2007/98602. [26] S. Momani and Z. Odibat, Homotopy perturbation method for nonlinear partial differential equations of fractional order, Phys. Lett. A doi:10.1016/j.physleta.2007.01.046. [27] M. A. Noor and S. T. Mohyud-Din, An efficient algorithm for solving fifth-order boundary value problems, Math. Comput. Model 45(7-8) (2007), 954-964. [28] Z. Odibat and S. Momani, Modified homotopy perturbation method: Application to quadratic riccati differential equation of fractional order, Chaos, Solitons & Fractals doi:10.1016/j.chaos.2006.06.041. [29] Turgut Ozis and Ahmet Y1ld1r1m, A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity, Chaos, Solitons & Fractals doi:10.1016/j.chaos.2006.04.013. [30] A. Rajabi, Homotopy perturbation method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity, Phys. Lett. A doi:10.1016/j.physleta.2006.11.062. [31] A. Rajabi, D. D. Ganji and H. Taherian, Application of homotopy perturbation method in nonlinear heat conduction and convection equations, Phys. Lett. A 360 (2007), 570-573. [32] F. Shakeri and M. Dehghan, Inverse problem of diffusion equation by He’s homotopy perturbation method, Phys. Scr. 75(4) (2007), 551-556. [33] A. M. Siddiqui, R. Mahmood and Q. K. Ghori, Thin film flow of a third grade fluid on a moving belt by He’s homotopy perturbation method, Int. J. Nonlinear Sci. Numer. Simul. 7(1) (2006), 7-14. [34] A. M. Siddiqui, R. Mahmood and Q. K. Ghori, Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder, Phys. Lett. A 352 (2006), 404-410. [35] H. C. Unal, Determination of the temperature distribution in an extended surface with a non-uniform heat transfer coefficient, Int. J. Heat Mass Transfer 28 (1986), 2279-2284. [36] H. C. Unal, A simple method of dimensioning straight fins for nucleate pool boiling, Int. J. Heat Mass Transfer 29 (1987), 640-644. [37] H. C. Unal, Analytic study of boiling heat transfer from a fin, Int. J. Heat Mass Transfer 30 (1987), 341-349. [38] H. C. Unal, The effect of the boundary condition at a fin tip on the performance of the fin with and without internal heat generation, Int. J. Heat Mass Transfer 31 (1988), 1483-1496.

Keywords and phrases: homotopy-perturbation method, nonlinear DEs, fins.

Previous Article Next Article

P-ISSN: 0973-5763

Journal Stats

Publication count: 772

Citation count (Google Scholar): 1919

h10-index (Google Scholar): 53

h-index (Google Scholar): 18

Downloads : 211019

Views: 843688

Downloads/publish articles: 273.34

Citations (Google Scholar)/publish articles: 2.49