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
eigenvalueseigenfunctionsgeneralized solutionheat conduction equationregularized solutionimpulsive initial boundary value problem
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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