Journal of Applied Physics · 1966 · 28 citations · 2 references
Natural SciencesMathematicsComputational PhysicsDifferential EquationsTransport PhenomenaBoundary ConditionsBoundary Conditions In TransportBoundary-value ProblemsDiffusion ProcessesNumerical Methods For Differential EquationsBoundary Condition TreatmentDiffusion CoefficientsDiffusion EquationFick's LawsFick's Laws Of DiffusionFick’s LawsNumerical DiffusionNumerical Solutions Of Partial Differential Equations
A method is developed for obtaining numerical solutions to Fick's diffusion equation when the diffusion coefficient is of the form D=D0Cn, n being an arbitrary positive parameter. The method is applicable to two different types of boundary condition corresponding to frequently encountered physical situations. Some numerical results are presented.
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Numerical Solutions of Differential Equations.
Chester C. Camp, W. E. Milne · American Mathematical Monthly · 1953 · 88 citations