Solution of the neutron group-diffusion equations by orthogonal collocation with cubic hermite interpolants

DOI10.1080/00411458308211635zbMath0546.65094OpenAlexW2085801721MaRDI QIDQ3336651

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Publication date: 1983

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458308211635

zbMATH Keywords

comparison of methodsfinite elementfinite differenceorthogonal collocationbenchmark problemtheta methodNumerical resultscubic Hermite basis functionsneutron group- diffusion equationsspace-time nuclear reactor dynamics

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (1)

Critical problem for finite slabs with sinusoidally space-dependent scattering ratio

Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
• A collocation method for boundary value problems
• A Collocation–Galerkin Method for the Two Point Boundary Value Problem Using Continuous Piecewise Polynomial Spaces

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