REFERENCES
- S. C. Mishra , Ch. H. Krishna , and M. Y. Kim , Lattice Boltzmann Method and Modified Discrete Ordinate Method Applied to Radiative Transport in a Spherical Medium with and without Conduction , Numer. Heat Transfer A , vol. 58 , pp. 852 – 881 , 2010 .
- H. Thakur , K. M. Singh , and P. K. Sahoo , M eshless Local Petrov-Galerkin Method for Nonlinear Heat Conduction Problems , Numer. Heat Transfer B , vol. 56 , pp. 393 – 410 , 2009 .
- H. S. Chu , C. K. Chen , and C. I. Weng , Transient Response of Circular Pins , Trans. ASME , J. Heat Transfer , vol. 105 , pp. 205 – 208 , 1983 .
- J. Mao and S. Rooke , Transient Analysis of Extended Surfaces with Convective Tip , Int. Commun. Heat Mass Transfer , vol. 21 , pp. 85 – 94 , 1994 .
- B. S. Chen , L. Y. Tong , et al. ., Transient Heat Transfer Analysis of Functionally Graded Materials using Adaptive Precise Time Integration and Graded Finite Elements , Numer. Heat Transfer B , vol. 45 , pp. 181 – 200 , 2004 .
- C. H. Chiu and C. K. Chen , A Decomposition Method for Solving the Convective Longitudinal Fins with Variable Thermal Conductivity, Int. J. Heat Mass. Transfer , vol. 45, pp. 2067–2075, 2002.
- H. Tari , Hafez and D. d. Ganji , The Application of He's Variational Iteration Method to Nonlinear Equations Arising in Heat Transfer , Phys. Lett. A , vol. 363 , pp. 213 – 217 , 2007 .
- C. Y. Lo , A Study of Two-Step Heat Conduction in Laser Heating using the Hybrid Differential Transform Method , Numer. Heat Transfer B , vol. 59 , pp. 130 – 146 , 2011 .
- C. Y. Lo and B. Y. Chen , Application of Hybrid Differential Transform/Control-Volume Method to Hyperbolic Heat Conduction Problems , Numer. Heat Transfer B , vol. 55 , pp. 219 – 231 , 2009 .
- M. Dondero , P. C. Adrián , M. J. Carella , and P. J. Tomba , Effective Thermal Conductivity of Functionally Graded Random Micro-Heterogeneous Materials using Representative Volume Element and BEM . Int. J. Heat Mass Transfer , vol. 54 , pp. 3874 – 3881 , 2011 .
- H. B. Luan , H. Xu , L. Chen , D. L. Sun , Y. L. He , and W. Q. Tao , Evaluation of the Coupling Scheme of FVM and LBM for Fluid Flows around Complex Geometries , Int. J. Heat Mass Transfer , vol. 54 , pp. 1975 – 1985 , 2011 .
- P. Wang and R. Kahawita , Numerical Integration of Partial Differential Equations using Cubic Splines , Int. J. Comput. Math. , vol. 13 , pp. 271 – 286 , 1983 .
- S. Sallam , M. Naim Anwar , and M. R. Abdel-Aziz , Unconditionally Stable C1-Cubic Spline Collocation Method for Solving Parabolic Equations , Int. J. Comput. Math. , vol. 81 , pp. 813 – 821 , 2004 .
- Siraj-ul-Islam , Tirmizi Ikram A and H. Fazal , Quartic Non-Polynomial Splines Approach to the Solution of a System of Second-Order Boundary-Value Problems , Int. J. High Perform. Comput. Appl. , vol. 21 , pp. 42 – 49 , 2007 .
- C. C. Wang , Applying the Differential Equation Maximum Principle with Cubic Spline Method to Determine the Error Bounds of Borced Convection Problems , Int. Commun. Heat Mass Transfer , vol. 37 , pp. 147 – 155 , 2010 .
- C. C. Wang and Z. Y. Lee , Uniform-Parameter Spline Method for Solving Non-Fourier heat Conduction Problems , Numer. Heat Transfer B , vol. 56 , pp. 293 – 306 , 2009 .
- H. Ding and Y. Zhang , Parameters Spline Methods for the Solution of Hyperbolic Aquations , Appl. Math. Comput. , vol. 204 , pp. 938 – 941 , 2008 .