Numerical solution of heat conduction problems using orthogonal collocation on finite elements

DOI10.1016/J.JNNMS.2015.10.001zbMATH Open1356.65229OpenAlexW1949804923MaRDI QIDQ2833233

Shelly Arora, Inderpreet Kaur

Publication date: 17 November 2016

Published in: Journal of the Nigerian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnnms.2015.10.001

zbMATH Keywords

convergencenumerical examplenonlinear parabolic equationerror estimateLagrange interpolating polynomialsorthogonal collocation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) 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)

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Internal Dynamics Stability of a Heat Conduction System Reduced via Orthogonal Collocation ⋮ A numerical method for heat transfer problems using collocation and radial basis functions

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