Saulyev'S Techniques For Solving A Parabolic Equation With A Non Linear Boundary Specification

DOI10.1080/00207160304670zbMath1018.65104OpenAlexW2077498560MaRDI QIDQ4805939

Mehdi Dehghan

Publication date: 11 September 2003

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160304670

zbMATH Keywords

stabilityfinite difference methodnumerical experimentsNeumann's boundary conditionstwo-dimensional heat equationnon-local boundary conditionnonlinear boundary specificationSaulyev's methods

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) 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)

Related Items (6)

Application of the Adomian decomposition method for two-dimensional parabolic equation subject to nonstandard boundary specifications ⋮ Unconditional stability of alternating difference schemes with variable time steplengthes for dispersive equation ⋮ The boundary penalty method for the diffusion equation subject to the specification of mass ⋮ Numerical solution of a parabolic equation subject to specification of energy. ⋮ Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation ⋮ Quasi-implicit and two-level explicit finite-difference procedures for solving the one-dimensional advection equation

Cites Work

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• A parabolic equation with nonlocal boundary conditions arising from electrochemistry
• The solution of the diffusion equation in two space variables subject to the specification of mass
• Numerical solution of the three‐dimensional parabolic equation with an integral condition
• Alternating direction implicit methods for two-dimensional diffusion with a non-local boundary condition
• A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions

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