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Solution of Mathieu's Type of Secular Equations
Journal of Mathematical Physics, 1970A discussion is given for the general solution of a secular equation with all other matrix elements equal to zero except Hii, Hi i+h, and Hi+h i. Both the eigenvalue and the amplitudes of the corresponding eigenfunction are expressed in terms of continued fractions of the matrix elements.
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Asymptotic solutions of mathieu equation with damping
Applied Mathematics and Mechanics, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical solution of Mathieu's equation
Journal of Computational Physics, 1971Abstract A method is presented for the numerical solution of Mathieu's equation. The power of the method lies in the fact that it can be used equally for ordinary and extremely asymptotic problems, making possible the computation of Mathieu functions for large values of the parameter with an accuracy heretofore unattainable.
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Solutions of the Mathieu Equation
Transactions of the American Institute of Electrical Engineers, 1948Harry J. Gray +2 more
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Exact solutions of the 1D Schrödinger equation with the Mathieu potential
Physics Letters, Section A: General, Atomic and Solid State Physics, 2020Guo-Hua Sun +2 more
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Pendulum's rotational motion governed by a stochastic Mathieu equation
Probabilistic Engineering Mechanics, 2013Panagiotis Alevras +2 more
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