Series expansions of solutions of \(u_{xx}+(2\nu /x)u_ x+\epsilon^ 2u_{tt}=u_ t\)

DOI10.1016/0377-0427(84)90064-5zbMath0536.35010OpenAlexW2040426589MaRDI QIDQ791750

Clark R. Givens, Chi Yeung Lo

Publication date: 1984

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90064-5

zbMATH Keywords

polynomial solutionsexpansion theoremassociated functions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Series solutions to PDEs (35C10) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (2)

Expansions in terms of generalized telegraph polynomials and complementry function ⋮ Zur Verallgemeinerung von Wärmepolynomen

Cites Work

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• Perturbation techniques in related differential equations
• The Weierstrass Hankel convolution transform
• Series expansions and integral representations of generalized temperatures
• Expansions in Terms of Heat Polynomials and Associated Functions
• Expansions in terms of generalized helmholtz polynomials and associated functions
• Classical Analysis and the Generalized Heat Equation
• Polynomial expansions of solutions of .
• Series Expansions of Solutions of $U_{xx} + U_{yy} + \varepsilon ^2 U_{tt} = U_t $

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