Computational technique for heat and advection-diffusion equations

DOI10.1007/s00500-021-05859-2zbMath1502.65160OpenAlexW3167257385MaRDI QIDQ2100274

Saumya Ranjan Jena, Guesh Simretab Gebremedhin

Publication date: 21 November 2022

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-021-05859-2

zbMATH Keywords

stabilityheat equationpartial differential equationadvection-diffusion equationinitial-boundary conditionsoctic B-spline method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (3)

Octic B-spline collocation scheme for numerical investigation of fifth order boundary value problems ⋮ Physical informed neural networks with soft and hard boundary constraints for solving advection-diffusion equations using Fourier expansions ⋮ An inverse problem of fourth-order partial differential equation with nonlocal integral condition

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