An exact methodology for solving nonlinear diffusion equations based on integral transforms

DOI10.1016/0168-9274(87)90041-9zbMath0628.65108OpenAlexW2013533037MaRDI QIDQ1093338

Brian Vick, Jay I. Frankel

Publication date: 1987

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(87)90041-9

zbMATH Keywords

comparison of methodsnonlinear heat equationnonlinear diffusion equationstemperature-dependent thermal conductivitysystem of nonlinear Volterra integral equations of the second kindtruncated Taylor-series expansion

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Other nonlinear integral equations (45G10) Integral representations of solutions to PDEs (35C15) Numerical methods for integral transforms (65R10)

Related Items (2)

An exact solution to a Stefan problem with variable thermal conductivity and a Robin boundary condition ⋮ Approximation of the modified error function

Cites Work

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• Periodic B-spline basis for quasi-steady periodic inverse heat conduction
• An analysis of the effect of plate thickness on laminar flow and heat transfer in interrupted-plate passages

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