A time‐splitting finite difference method for two‐dimensional diffusion with an integral condition

DOI10.1002/cnm.1640100808zbMath0805.65089OpenAlexW1987074535MaRDI QIDQ4306934

B. J. Noye, Mehdi Dehghan

Publication date: 22 September 1994

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640100808

zbMATH Keywords

heat equationerror boundsfourth-order schemetime-splitting finite difference methodintegral conditiontwo-dimensional diffusion

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

A boundary integral equation method for the two-dimensional diffusion equation subject to a non-local condition ⋮ A boundary integral method for the three-dimensional heat equation subject to specification of energy

Cites Work

• Diffusion subject to the specification of mass
• A numerical method for the diffusion equation with nonlocal boundary specifications
• The solution of the diffusion equation in two space variables subject to the specification of mass
• A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation
• New lod and adi methods for the two-dimensional diffusion equation
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