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OALib Journal期刊
ISSN: 2333-9721
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-  2018 

Operational method for the solution of ordinary differential equations using Hermite series

Keywords: Operational calculus, Ordinary differential equations, Series of Hermite polynomials

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Abstract:

Sa?etak We apply a general algebraic operational method to obtain solutions of ordinary differential equations. The solutions are expressed as series of scaled Hermite polynomials. We present some examples that show that the solutions obtained as truncated Hermite series give acceptable approximations to the exact solutions on intervals larger than the corresponding intervals for the solutions obtained as truncated Taylor series. Our method is algebraic and doesn't use any integral transforms

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