ANALYTICAL METHODS FOR THERMAL SCIENCE - AN ELEMENTARY INTRODUCTION

Abstract

Most thermal problems can be modeled by nonlinear equations, fractional calculus and fractal geometry, and can be effectively solved by various analytical methods and numerical methods. Analytical technology is a promising tool to outlining various features of thermal problems.

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    Dates

    DOI Reference

    10.2298/TSCI11S1001H

    References

    1. He, J.-H., Wu, G. C., Austin, F., The Variational Iteration Method Which Should Be Followed, Nonlinear Sci. Lett. A , 1 (2010), 1, pp. 1-30
    2. Golbabai, A., Sayevand, K., The Homotopy Perturbation Method for Multi-Order Time Fractional Differential Equations, Nonlinear Sci. Lett. A, 1 (2010), 2, pp. 147-154
    3. He, J.-H., A Note on the Homotopy Perturbation Method, Thermal Science, 14 (2010), 2, pp. 565-568
    4. Rajeev, Rai, K. N., Das, S., Solution of 1-D Moving Boundary Problem with Periodic Boundary Conditions by Variational Iteration Method, Thermal Science, 13 (2009), 2, pp. 199-204
    5. He, J.-H., An Elementary Introduction to the Homotopy Perturbation Method, Comput. Math. Applicat., 57 (2009), 3, pp. 410-412
    6. He, J.-H., Some Asymptotic Methods for Strongly Non-Linear Equations, Int. J. Mod. Phys., B, 20 (2006), 10, pp.1141-1199
    7. He, J.-H., An Elementary Introduction to Recently Developed Asymptotic Methods and Nanomechanics in Textile Engineering, Int. J. Mod. Phys., B, 22 (2008), 21, pp. 3487-3578
    8. Fan, J., Liu, J. F., He, J.-H., Hierarchy of Wool Fibers and Fractal Dimensions, Int. J. Nonlin. Sci. Num., 9 (2008), 3, pp. 293-296
    9. Zhang, S., Zong, Q. A., Liu, D., Gao, Q., A Generalized Exp-Function Method for Fractional Riccati Differential Equations, Communications in Fractional Calculus, 1 (2010), 1, pp. 48-51
    Volume 15, Issue 11, Pages1 -3