%0 Journal Article %T A formula for solving a special case of Euler-Cauchy ODE. %A M. S. Abdualrab %J Int. Math. Forum %D 2009 %V 4 %F Abdualrab2009 %0 Journal Article %T One dimensional differential transform method for some higher order boundary value problems in finite domain %A J. Ali %J Int. J. Contemp. Math. Sci. %D 2012 %V 7 %F Ali 2012 %0 Journal Article %T Applying differential transform method to nonlinear partial differential equations: a modified approach %A M. T. Alquran %J Appl. Appl. Math. %D 2012 %V 7 %F Alquran2012 %0 Journal Article %T Determination of convergence intervals of the series solutions of EmdenFowler equations using polytropes and isothermal spheres %A A. Aslanov %J Phy. Lett. A %D 2008 %V 372 %F Aslanov2008 %0 Journal Article %T A new algorithm for solving linear ordinary differential equations %A K. Batiha %A B. Batiha %J World Appl. Sci. J. %D 2011 %V 15 %F Batiha2011 %0 Journal Article %T Status of the differential transformation method %A C. Bervillier %J Appl. Math. Comput. %D 2012 %V 218 %F Bervillier2012 %0 Journal Article %T Differential transform method for quadratic Riccati differential equation %A J. Biazar %A M. Eslami %J Int. J. Nonlinear Sci. %D 2010 %V 9 %F Biazar2010 %0 Journal Article %T A new algorithm for calculating one dimensional differential transform of nonlinear functions %A S.-H. Chang %A I.-L. Chang %J Appl. Math. Comput. %D 2008 %V 195 %F Chang2008 %0 Journal Article %T Useful Formulas for One-dimensional Differential Transform %A E. A. Elmabrouk %A F. Abdewahid %J Britsh J. Appl. Sci. Tech. %D 2016 %V 18 %F Elmabrouk2016 %0 Journal Article %T Application of differential transformation method to linear sixth-order boundary value problems %A V. S. Ert ürk %J Appl. Math. Sci. (Ruse) %D 2007 %V 1 %F ürk2007 %0 Journal Article %T Approximate Solutions of a Class of Nonlinear Differential Equations by Using Differential Transformation Method %A V. S. Ertürk %J Int. J. Pure Appl. Math. %D 2006 %V 30 %F Ertürk2006 %0 Journal Article %T Differential transforms and circuit theory %A G. G. Ev Pukhov %J Circuit Theory Appl. %D 2008 %V 10 %F Pukhov2008 %0 Journal Article %T The Solution of Euler-Cauchy Equation Using Laplace Transform %A B. Ghil %A H. Kim %J Int. J. math. Anal. %D 2015 %V 9 %F Ghil2015 %0 Journal Article %T The Reduction of Order on Cauchy-Euler Equation with a Bulge Function %A P. Haarsa %A S. Pothat %J Appl. Math. Sci. %D 2015 %V 9 %F Haarsa2015 %0 Journal Article %T Solution of differential types of the linear and nonlinear higher-order boundary value problems by differential transformation method %A I. H. A. H. Hassan %A V. S. Ertürk %J Eur. J. Pure Appl. Math. %D 2009 %V 2 %F Hassan2009 %0 Journal Article %T Solving nonlinear Lane-Emden type equations with unsupervised combined artificial neural networks %A K. Parand %A Z. Roozbahani %A F. Bayat Babolghani %J Int. J. Industrial Mathematics %D 2013 %V 5 %F Parand2013 %0 Journal Article %T Aproximate analytical solution for the isothermal Lane Emden equation in a spherical geometry %A M. A. Soliman %A Y. Al-Zeghayer %J Revist Mexicanade Astronmiay Atrofisca %D 2015 %V 15 %F Soliman2015 %0 Journal Article %T A new algorithm for solving differential equations of LaneEmden type %A A.-M. Wazwas %J Applied Math. Comput. %D 2001 %V 118 %F Wazwas2001 %0 Journal Article %T The modified decomposition method for analytic treatment of differential equations %A A.-M. Wazwas %J Appl. Math. Comput. %D 2006 %V 173 %F Wazwas2006 %0 Journal Article %T Solutions of singular IVPs of LaneEmden type by the variational iteration method %A A. Yildrim %A T. Özis %J Nonlinear Anal. %D 2009 %V 70 %F Yildrim2009 %0 Journal Article %T Some oscillation criteria for second order nonlinear functional ordinary differential equations %A E. M. E. Zayed %A M. A. El-Moneam %J Acta Math. Sci. Ser. B (Engl. Ed.) %D 2007 %V 27 %F Zayed2007 %0 Journal Article %T The oscillatory behavior of second order nonlinear functional differential equations %A E. M. E. Zayed %A S. R. Grace %A H. El-Metwally %A M. A. El-Moneam %J Arab. J. Sci. Eng. Sect. A Sci. %D 2006 %V 31 %F Zayed2006 %0 Book %T Differential transformation and its applications for electrical circuits %A J. K. Zhou %D 1986 %I Huarjung University Press %C wuuhahn %F Zhou1986