Kovacic algorithm
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1: 31.14 General Fuchsian Equation
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§31.14(ii) Kovacic’s Algorithm
►An algorithm given in Kovacic (1986) determines if a given (not necessarily Fuchsian) second-order homogeneous linear differential equation with rational coefficients has solutions expressible in finite terms (Liouvillean solutions). … ►For applications of Kovacic’s algorithm in spatio-temporal dynamics see Rod and Sleeman (1995).2: 31.8 Solutions via Quadratures
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►For more details see Smirnov (2002).
►The solutions in this section are finite-term Liouvillean solutions which can be constructed via Kovacic’s algorithm; see §31.14(ii).
3: Bibliography K
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An algorithm for solving second order linear homogeneous differential equations.
J. Symbolic Comput. 2 (1), pp. 3–43.
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