
- 1.ABRAMOV, S.: BRONS'I:I+}IN, M. AND PETKOVSEK, h."I. On polynomial solutions of line~r operator equations. In Proceedings o/ISSAC'95 (1995): AC, M Press, pp. 290- 296. Google Scholar
Digital Library
- 2.ABII.AMOV, S. A., AND KVASHENKO, K. Y. Fast algorithms to seaxch for tim rationM solutions of lilmar differential equations witIl polynomial coefficients. In Proceedings of ISSAC'91 (1991), S. Watt, Ed.: ACM Press, pp. 267-270. Google Scholar
Digital Library
- 3.BRONSTEIN, M. ()n solutions of linear ordinary dih ferential equ~.t.ions in their coefficient field. Journal o/ Symbolic Computation 13, 4 (April 1992), 413-440. Google Scholar
Digital Library
- 4.BRONS'rEIN, M. Symbolic Integration I- Transcendental b~unctions. Springer, Heidelberg, 1997. Google Scholar
Digital Library
- 5.BRONSTEIN. M., MULDERS, T., AND WEll,, J.-A. On symmet.ric powers of" differential operators. In Proceedings of ISSAC'97 (1997), ACM Press, pp. 156-163. Google Scholar
Digital Library
- 6.DAVE NPOR'I', J., AND SINGER, M. Elementary and Liouvillia~l Solutions of Linear Differeltt.ial Equations. Journal of Symbolic Computation 2, 3 (September 1986). 237-260. Google Scholar
Digital Library
- 7.GEDD~:S, K. CZAPO,t, S. AND LABAHN, G. Algorithms for" Computer Algebra. Kluwer Academic Publishers, Boston, 1992. Google Scholar
Digital Library
- 8.KOVACIC. J. An Algorithm for Solving Second Order Lin(.';~r Homogeneous Differential Equations. Journal o/ Syrnbolic Computation 2, 1 (Mar(:h 1986), 3-43. Google Scholar
Digital Library
- 9.SIN(:ER, M. Liouvillia~l solutions of' linear differential equations with |iouvi|lian coefficients. Journal of Symbolic Computation 11 (1991), 251-273. Google Scholar
Digital Library
- 10.ULMER, F., AND WEIL. J.-A. Note on Kovacic's algorithm. Journal of Symbolic Computation 22, 2 (August 1996), 179--200. Google Scholar
Digital Library
Index Terms
Solving linear ordinary differential equations over C (x, e∫ f(x)dx)
Recommendations
Application of Digital Computers to Solve Analytically a Class of Second-Order Non-linear Ordinary Differential Equations
This note is concerned with the application of digital computers to solve analytically a class of second-order nonlinear ordinary differential equations. Programs, written in the FØRMAC language, are described, which employ the perturbation methods of ...
Approximate solution of linear ordinary differential equations with variable coefficients
In this paper, a novel, simple yet efficient method is proposed to approximately solve linear ordinary differential equations (ODEs). Emphasis is put on second-order linear ODEs with variable coefficients. First, the ODE to be solved is transformed to ...
A computational method for solving boundary value problems for third-order singularly perturbed ordinary differential equations
Singularly perturbed two-point boundary value problems (SPBVPs) for third-order ordinary differential equations (ODEs) with a small parameter multiplying the highest derivative are considered. A numerical method is suggested in this paper to solve such ...






Comments