## THERMAL SCIENCE

International Scientific Journal

### 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.

**THERMAL SCIENCE** YEAR

**2011**, VOLUME

**15**, ISSUE

**Supplement 1**, PAGES [S1 - S3]

- 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
- 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
- He, J.-H., A Note on the Homotopy Perturbation Method, Thermal Science, 14 (2010), 2, pp. 565-568
- 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
- He, J.-H., An Elementary Introduction to the Homotopy Perturbation Method, Comput. Math. Applicat., 57 (2009), 3, pp. 410-412
- He, J.-H., Some Asymptotic Methods for Strongly Non-Linear Equations, Int. J. Mod. Phys., B, 20 (2006), 10, pp.1141-1199
- 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
- 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
- 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