Applications of finite and infinite Fourier series in heat processes with impulse data

DOI10.1016/J.AMC.2011.08.093zbMath1245.65132OpenAlexW2058645371MaRDI QIDQ440674

Valery G. Yakhno, S. Faydaoglu

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.093

zbMATH Keywords

eigenvalueseigenfunctionsgeneralized solutionheat conduction equationregularized solutionimpulsive initial boundary value problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Cites Work

• Numerical point of view on calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains
• Computing and simulation of time-dependent electromagnetic fields in homogeneous anisotropic materials
• Deriving the time-dependent dyadic Green's functions in conductive anisotropic media
• Periodic B-spline basis for quasi-steady periodic inverse heat conduction
• Numerical computations and mathematical modelling with infinite and infinitesimal numbers
• A new applied approach for executing computations with infinite and infinitesimal quantities
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