[1]
Carini, A., Diligenti, M. and Salvadori, A., Implementation of a symmetric boundary element method in transient heat conduction with semi-analytical integrations, Int. J. Numer. Methods. Eng., 46 (1999), pp. 1819–1843.

[2]
Carslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids, Second edition, Oxford University Press, London, 1959.

[3]
Chang, Y. P., Kang, C. S and Chen, D. J., Use of fundamental Green’s functions for solution of problems of heat-conduction in anisotropic media, Int. J. Heat. Mass. Trans., 16 (1973), pp. 1905–1918.

[4]
Chen, C. S. and Rashed, Y. F., Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM, Mech. Res. Commun., 25(2) (1998), pp. 195–201.

[5]
Chen, C. S., Golberg, M. A. and Rashed, Y. F., A mesh-free method for linear diffusion equations, Numer. Heat. Trans. B. Fundament., 33 (1998), pp. 469–486.

[6]
Chen, W. and Tanaka, M., A meshless, integration-free, and boundary-only RBF technique, Comput. Math. Appl., 43(3-5) (2002), pp. 379–391.

[7]
Cho, H., Golberg, M. A., Muleshkov, A. S. and Li, X., Trefftz methods for time dependent partial differential equations, CMC., 1(1) (2004), pp. 1–37.

[8]
Duchon, J., Splines minimizing rotation invariant semi-norms in Sobolev spaces, in: Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571, ed. Schempp, W. and Zeller, K., Springer-Verlag, Berlin, pp. 85–110, 1976.

[9]
Fairweather, G. and Karageorghis, A., The method of fundamental solutions for elliptic boundary value problems, Adv. Comput. Math., 9(1-2) (1998), pp. 69–95.

[10]
Fu, Z. J., Chen, W. and Yang, W., Winkler plate bending problems by a truly boundary-only boundary particle method, Comput. Mech., 44(6) (2009), pp. 757–763.

[11]
Golberg, M. A. and Chen, C. S., The method of fundamental solutions for potential, Helmholtz and diffusion problems, in Boundary Integral Methods: Numerical and Mathematical Aspects, ed. Golberg, M. A., Computational Mechanics Publications, pp. 103–176, 1999.

[12]
Golberg, M. A. and Chen, C. S., An efficient mesh-free method for nonlinear reaction-diffusion equations, Comput. Model. Eng. Sci., 2 (2001), pp. 87–95.

[13]
Kausel, E. and Roësset, J. M., Frequency domain analysis of undamped systems, J. Eng. Mech., 118(4) (1992), pp. 721–734.

[14]
Lesnic, D., Elliot, L. and Ingham, D. B., Treatment of singularities in time-dependent problems using the boundary element method, Eng. Anal. Bound. Elem., 16 (1995), pp. 65–70.

[15]
Muleshkov, A. S., Golberg, M. A. and Chen, C. S., Particular solutions of Helmholtz-type operators using higher order polyharmonic splines, Comput. Mech., 23 (1999), pp. 411–419.

[16]
Partridge, P. W., Brebbia, C. A. and Wrobel, L. C., The Dual Reciprocity Boundary Element Method, Computational Mechanics Publications, Southampton, Boston, 1992.

[17]
Shaw, R. P., Integral equation approach to diffusion, Int. J. Heat. Mass. Trans., 17(6) (1974), pp. 693–699.

[18]
Sutradhar, A., Paulino, G. H. and Gray, L. J., Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method, Eng. Anal. Bound. Elem., 26(2) (2002), pp. 119–132.

[19]
Sutradhar, A. and Paulino, G. H., The simple boundary element method for transient heat conduction in functionally graded materials, Comput. Methods. Appl. Mech. Eng., 193(42-44) (2004), pp. 4511–4539.

[20]
Wrobel, L. C. and Brebbia, C. A., A formulation of the boundary element method for ax-isymmetric transient heat conduction, Int. J. Heat. Mass. Trans., 24 (1981), pp. 843–850.

[21]
Zhu, S., Satravaha, P. and Lu, X., Solving linear diffusion equations with the dual reciprocity method in Laplace space, Eng. Anal. Bound. Elem., 13 (1994), pp. 1–10.