International Journal of Computer Mathematics · 1994 · 26 citations · 6 references
ComputingComputer ScienceComputational PhysicsParallel AlgorithmsParallel ComputingConvergence AnalysisFinite Difference MethodsNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsConvergenceDiffusion EquationDiffusion Equation ModelsFinite Difference DiscretizationFinite Difference SchemesFinite Difference Solution Of Partial Differential EquationsNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential Equations
In this paper, a special class of Hopscotch Algorithms for the finite difference solution of the diffusion equation is considered. The algorithm is very efficient with regard to parallel computing in MIMD and ease of programming. A better convergence of the difference solution is proved without the conditions of either Δt/Δx 2 = C or Δt/Δx→0 as Δt→ 0 and Δx→0. Numerical examples of the method are included.
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