참고문헌
- H. Kwakernaak and R. Sivan,Linear Optimal Control Systems, Wiley Interscience, NewYork, 1972.
- L. Dieci,Numerical integration of the differential Riccati equation and some related issues, SIAM J. Numer. Anal.29(3)(1992), 781-815. https://doi.org/10.1137/0729049
- L. Dieci, M. R. Osborne, and R. D. Russell,A Riccati transformation method for solving linear BVPs. I: Theoretical aspects, SIAM Journal on Numerical Analysis, 25 (1988), 1055-1073. https://doi.org/10.1137/0725061
- C.S. Kenney, R.B. Leipnik,Numerical integration of the differential matrix Riccati equation, IEEE Trans. Automat. Contr. AC-30 (1985), 962-970.
- Chiu H. Choi,A survey of numerical methods for solving matrix Riccati differential equations, Southeastcon90 Proc. (1990), 696-700.
- C. Choi Chiu, J. Laub Alan,Efficient matrix-valued algorithms for solving stiff Riccati differential equations, IEEE Trans. Automat. Contr.35 (7) (1990), 770-776. https://doi.org/10.1109/9.57015
- A. Borhanifar, Reza Abazari,Numerical Solution of Second-Order Matrix Differential Models Using Cubic Matrix Splines, Applied Mathematical Sciences 59 (2007), 2927-2937.
- M.M. Tunga, E. Defez, J. Sastre,Numerical solutions of second-order matrix models using cubic-matrix splines, Comput. Math. Appl. http://doi:10.1016/j.camwa.2008.05.022.
- J.K. Zhou,Differential Transformation and its Application for Electrical Circuits, Huazhong University Press, Wuhan, China, 1986.
- Fatma Ayaz,Solutions of the system of differential equations by differential transform method, Appl. Math. Comput. 147 (2004), 547-567. https://doi.org/10.1016/S0096-3003(02)00794-4
- F. Ayaz,Application of differential transform method to differential-algebraic equations, Appl. Math. Comput. 152 (2004), 649-657. https://doi.org/10.1016/S0096-3003(03)00581-2
- Figen Kangalgil, Fatma Ayaz,Solitary wave solutions for the KdV and mKdV equations by differential transform method, Chaos, Solitons & Fractals, 41 (2009), 464-472. https://doi.org/10.1016/j.chaos.2008.02.009
- Momani S, Odibat Z, Hashim I,Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods, Topological method in Nonlinear Analysis, 31 (2008), 211-226.
- Y. Keskin, A. Kurnaz, M.E. Kiris, G. Oturanc,Approximate solutions of generalized pantograph equations by the differential transform method, Int. J. Nonlinear Sci. 8 (2007), 159-164.
- A. Arikoglu, I. Ozkol,Solution of boundary value problems for integro-differential equations by using differential transform method, Appl. Math. Comput. 168 (2005), 1145-1158. https://doi.org/10.1016/j.amc.2004.10.009