روش تکرار تغییراتی برای حل یک مساله هدایت گرمایی معکوس

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2. Lagier GL., Lemonnier H., Coutris N., "A numerical solution of the linear multidimentional

unsteady inverse heat conduction problem with the boundary element method and the singular

value decomposition", Int. J. Therm. Sci. 43 (2004) 145-155.

3. Pourgholi R., Rostamian M., "A numerical technique for solving IHCPs using Tikhonov

regularization method", Applied Mathematical Modelling, 34 (2010) 2102-2110.

4. Hon Y.C., Wei T., "A fundamental solution method for inverse heat conduction problem", Engineering Analysis with Boundary Elements, 28 (2004) 489-495.

5. Pourgholi R., Dana H., Tabasi S.H, "Solving an inverse heat conduction problem using genetic algorithm: Sequential and multi-core parallelization approach", Applied Mathematical Modelling, 38 (2014) 1948-1958.

6. Cheng W., Ma Y.J. , Fu C.L., "A regularization method for solving the radially symmetric backward heat conduction problem", Applied Mathematics Letters, 30 (2014) 38-43.

7. Pourgholi R., Rostamian M., Emamjome M., "A numerical method for solving a nonlinear inverse parabolic problem", Inverse problems in science and engineering, 18 (2010) 1151-1164.

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9. Mierzwiczak M., Kolodziej J.A., "Application of the method of fundamental solutions and radial basis function for inverse transient heat source problem", Computer Physics Communications, 181 (2010) 2035-2043.

10. Jin B., Martin L., "The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction", Int. J. Numer. Meth. Eng. 69 (2007) 1570-1589.

11. Dehghan M., Tatari M., "Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method", Chaos, Solitons and Fractals, 36 (2008) 157-166.

12. Shidfar A., Babaei A., Molabahrami A., "Solving the inverse problem of identifying an unknown source term in a parabolic equation", Computers and Mathematics with Applications, 60 (2010) 1209-1213.

13. Chun Ch., Jafari H., Kim Y-Il, "Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method", Computers and Mathematics with Applications, 57 (2009) 1226-1231.

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16. He J.H., "Some asymtotic method for strongly nonlinear equations", International Journal of Modern Physics B, 20 (2006) 1141-1199.

17. He J.H., Wu. X.H., "Construction of solitary solution and compaction-like solution by variational iteration method", Chaos, Solitons and Fractals, 29 (2006) 108-113.

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21. He J.H., "Variational approach for nonlinear oscillators", Chaos, Solitons and Fractals, 34 (2007) 1430-1439.

22. He J.H., "Variational iteration method-Some recent results and new interpretations", Journal of Computational and Applied Mathematics, 207 (2007) 3-17.

23. He J.H., Wu. X.H., "Variational iteration method: New development and applications", Computers and Mathematics with Applications, 54 (2007) 881-894.

24. Dehghan M., Shakeri F., "Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem", Journal of Computational and Applied Mathematics, 214 (2008) 435-446.

25. Geng F., Lin Y., "Application of the variational iteration method to inverse heat source problems", Computers and Mathematics with Applications, 58 (2009) 2098-2102.

26. Slota D., Zielonka A., "A new application of variational iteration method for the solution of the one-phase Stefan problem", Computers and Mathematics with Applications, 58 (2009) 2489-2494.

27. Ravi Kanth A.S.V., Aruna K., "He's variational iteration method for treating nonlinear singular boundary value problems", Computers and Mathematics with Applications, 60 (2010) 821-829.

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41. Molhem H., Pourgholi R., "A Numerical Algorithm for Solving a One-Dimensional Inverse Heat Conduction Problems", Journal of Mathematics and Statistics 4 (1) (2008) 60-63.