References
- Muhieddine M, Canot É, March R, et al. Coupling heat conduction and water--steam flow in a saturated porous medium. Int J Numer Methods Eng. 2011;85(11):1390–1414.
- Xu D, Wen L, Xu B. An inverse problem of Bilayer textile thickness determination in dynamic heat and moisture transfer. Appl Anal. 2014;93(3):445–465.
- Zhang SG, Zhi-Jian LI, Yi-Hong XU, et al. Three-dimensional numerical simulation and analysis of fluid-heat coupling heat-transfer in fractured rock mass. Rock Soil Mech. 2011;32(8):2507–2511.
- Xu RN, Jiang PX. Numerical simulation of fluid flow in microporous media. Int J Heat Fluid Flow. 2008;29(5):1447–1455.
- Kweyu MC. Crank-Nicolson scheme for numerical solutions of two-dimensional coupled Burgers equations. Int J Sci Eng Res. 2013;2(5):1–6.
- Chen XR, Liu TW. Numerical simulation of 3D thermal-fluid coupled model in porous medium. Math Comput. 2013;4:73–80.
- Kumar M, Pandit S. A composite numerical scheme for the numerical simulation of coupled Burgers’ equation. Comput Phys Commun. 2014;185(3):809–817.
- Yamamoto M, Zou J. Simultaneous reconstruction of the initial temperature and heat radiative coefficient. Inverse Prob. 2001;17(4):1181–1202 (22).
- Wang Z, Qiu S, Ruan Z, et al. A regularized optimization method for identifying the space-dependent source and the initial value simultaneously in a parabolic equation. Comput Math Appl. 2014;67:1345–1357.
- Cannon JR, Lin Y, Xu S. Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations. Inverse Prob. 1994;10:227–243.
- Lin Y, Cannon JR. An inverse problem of finding a parameter in a semi-linear heat equation. J Math Anal Appl. 1990;145(2):470–484.
- Cannon JR, Lin Y, Wang S. Determination of source parameter in parabolic equations. Meccanica. 1992;27(2):85–94.
- Dehghan M. Parameter determination in a partial differential equation from the over-specified data. Math Comput Model. 2005;41(2–3):196–213.
- Dehghan M. Finding a control parameter in one-dimensional parabolic equations. Appl Math Comput. 2003;135(2–3):491–503.
- Ye CR, Sun ZZ. On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem. Appl Math Comput. 2007;188(1):214–225.
- Ye CR, Sun ZZ. A linearized compact difference scheme for an one-dimensional parabolic inverse problem. Appl Math Model. 2009;33(3):1521–1528.
- Ma LM, Wu ZM. Identifying the temperature distribution in a parabolic equation with overspecified data using a multiquadric quasi-interpolation method. Chin Phys B. 2010;19(1):1–6.
- Daoud DS, Subasi D. A splitting up algorithm for the determination of the control parameter in multi-dimensional parabolic problem. Appl Math Comput. 2005;166(3):584–595.