International Journal for Numerical Methods in Engineering · 1988 · 83 citations · 17 references
Natural SciencesComputational EngineeringComputational Fluid DynamicsComputational PhysicsDifferential EquationsConvergence AnalysisFinite Difference MethodsNumerical Methods For Differential EquationsPartial Differential EquationsThermal Boundary LayersConvection-diffusion ModelingFinite Difference DiscretizationFinite Difference SchemesFinite Difference Solution Of Partial Differential EquationsStability Of Finite Difference Schemes
Abstract A third‐order semi‐implicit five‐point finite difference method is developed to solve the one‐dimensional convection‐diffusion equation, using the ‘weighted’ modified equation method. It is shown to have a large stability region, to be very accurate and computationally fast.
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