The projection Galerkin method for solving the time-independent differential diffusion equation in a semi-infinite domain

DOI10.1134/S0965542517050074zbMath1377.65151OpenAlexW2621688670WikidataQ115247853 ScholiaQ115247853MaRDI QIDQ2401106

M. A. Stepovich, A. M. Makarenkov, E. V. Seregina

Publication date: 31 August 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517050074

zbMATH Keywords

numerical exampleLaguerre functionsdiffusion equationboundary value problemleast squares methodGalerkin projectionsemi-infinite domainresidual convergence

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Numerical learning approximation of time-fractional sub diffusion model on a semi-infinite domain ⋮ On sharp estimates of the convergence of double Fourier-Bessel series ⋮ Comparative analysis of the matrix method and the finite-difference method for modeling the distribution of minority charge carriers in a multilayer planar semiconductor structure

Cites Work

• Sharp estimates for the rate of convergence of double Fourier series in classical orthogonal polynomials
• Strong asymptotics of zeros of polynomials orthogonal with respect to a complex-valued weight
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