The application of differential transformation method to nonlinear equations arising in heat transfer

Zhou, 1986 Ayaz, 2004, Solutions of the system of differential equations by differential transform method, Applied Mathematics and Computation, 147, 547, 10.1016/S0096-3003(02)00794-4 Kurnaz, 2005, The differential transform approximation for the system of ordinary differential equations, International Journal of Computer Mathematics, 82, 709, 10.1080/00207160512331329050 Abdel-Halim Hassan, 2008, Application to differential transformation method for solving systems of differential equations, Applied Mathematical Modelling, 32, 2552, 10.1016/j.apm.2007.09.025 Chen, 2009, Application of the differential transformation method to the free vibrations of strongly non-linear oscillators, Nonlinear Analysis: Real World Applications, 10, 881, 10.1016/j.nonrwa.2005.06.010 Thongmoon, 2010, The numerical solutions of differential transform method and the Laplace transform method for a system of differential equations, Nonlinear Analysis: Hybrid Systems, 4, 425, 10.1016/j.nahs.2009.10.006 Al-rabtah, 2010, Solutions of a fractional oscillator by using differential transform method, Computers and Mathematics with Applications, 59, 1356, 10.1016/j.camwa.2009.06.036 Arikoglu, 2010, Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method, Composite Structures, 92, 3031, 10.1016/j.compstruct.2010.05.022 Borhanifar, 2010, Numerical study of nonlinear Schrödinger and coupled Schrödinger equations by differential transformation method, Optics Communications, 283, 2026, 10.1016/j.optcom.2010.01.046 Özkan, 2010, Numerical implementation of differential transformations method for integro-differential equations, International Journal of Computer Mathematics, 87, 2786, 10.1080/00207160902795627 Bert, 2002, Application of differential transform method to heat conduction in tapered fins, ASME Journal of Heat Transfer, 124, 208, 10.1115/1.1423316 Kuo, 2005, Heat transfer analysis for the Falkner–Skan wedge flow by the differential transformation, International Journal of Heat and Mass Transfer, 48, 5036, 10.1016/j.ijheatmasstransfer.2003.10.046 Chu, 2008, Hybrid differential transform and finite difference method to solve the nonlinear heat conduction problem, Communications in Nonlinear Science and Numerical Simulation, 13, 1605, 10.1016/j.cnsns.2007.03.002 Chu, 2008, Application of the hybrid differential transform-finite difference method to nonlinear transient heat conduction problems, Numerical Heat Transfer Part A, 53, 295, 10.1080/10407780701557931 Lo, 2009, Application of hybrid differential transform/control-volume method to hyperbolic heat conduction problems, Numerical Heat Transfer Part B, 55, 219, 10.1080/10407790802628796 Joneidi, 2009, Differential transformation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity, International Communications in Heat and Mass Transfer, 36, 757, 10.1016/j.icheatmasstransfer.2009.03.020 Jang, 2010, Differential transformation approach to thermal conductive problems with discontinuous boundary condition, Applied Mathematics and Computation, 216, 2339, 10.1016/j.amc.2010.03.079 Rashidi, 2010, A novel analytical solution of mixed convection about an inclined flat plate embedded in a porous medium using the DTM-Padé, International Journal of Thermal Sciences, 49, 2405, 10.1016/j.ijthermalsci.2010.07.005 Rashidi, 2010, A novel analytical solution of steady flow over a rotating disk in porous medium with heat transfer by DTM-Padé, African Journal of Mathematics and Computer Science Research, 3, 93 Hassan, 2004, Differential transformation technique for solving higher-order initial value problems, Applied Mathematics and Computation, 154, 299, 10.1016/S0096-3003(03)00708-2 Ganji, 2006, The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer, Physics Letters A, 355, 337, 10.1016/j.physleta.2006.02.056 Aziz, 1984 Ganji, 2007, Application of variational iteration method and homotopy-perturbation method for nonlinear heat diffusion and heat transfer equations, Physics Letters A, 368, 450, 10.1016/j.physleta.2006.12.086 Khaleghi, 2007, Application of variational iteration and homotopy-perturbation methods to nonlinear heat transfer equations with variable coefficients, Numerical Heat Transfer Part A, 52, 25, 10.1080/10407780601112878 Ganji, 2007, Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations, Journal of Computational and Applied Mathematics, 207, 24, 10.1016/j.cam.2006.07.030 Ganji, 2006, Assessment of homotopy-perturbation and perturbation methods in heat radiation equations, International Communications in Heat and Mass Transfer, 33, 391, 10.1016/j.icheatmasstransfer.2005.11.001