Numerical Solution of Heat Equation with Singular Robin Boundary Condition | Zendy

Germán Lozada-Cruz | Zendy; C. E. Rubio-Mercedes | Zendy; Junior Rodrigues Ribeiro | Zendy

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Numerical Solution of Heat Equation with Singular Robin Boundary Condition

Author(s) -

Germán Lozada-Cruz,

C. E. Rubio-Mercedes,

Junior Rodrigues Ribeiro

Publication year - 2018

Publication title -

tema (são carlos)

Language(s) - English

Resource type - Journals

eISSN - 2179-8451

pISSN - 1677-1966

DOI - 10.5540/tema.2018.019.02.209

Subject(s) - robin boundary condition , dirichlet boundary condition , mathematics , boundary value problem , mixed boundary condition , cauchy boundary condition , mathematical analysis , work (physics) , heat equation , boundary (topology) , poincaré–steklov operator , free boundary problem , differential equation , homogeneous , physics , combinatorics , thermodynamics

In this work we study the numerical solution of one-dimensional heatdiffusion equation with a small positive parameter subject to Robin boundary conditions. The simulations examples lead us to conclude that the numerical solutionsof the differential equation with Robin boundary condition are very close of theanalytic solution of the problem with homogeneous Dirichlet boundary conditionswhen tends to zero

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