Communications in Numerical Methods in Engineering · 1994 · 10 citations · 2 references
Natural SciencesComputational EngineeringComputational MechanicsComputational PhysicsDifferential EquationsBoundary ConditionsConvergence AnalysisFinite Difference MethodsNumerical AlgorithmsNumerical Methods For Differential EquationsPartial Differential EquationsFinite Difference SchemesNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsPoisson EquationPoisson's EquationSymmetry Boundary Conditions
Abstract We propose in this paper a nine‐point, fourth‐order difference method for the numerical solution of the quasilinear Poisson equation with appropriate boundary conditions. The method is based on five evaluations of f . The numerical results of four problems obtained using this method are listed. The results demonstrate the fourth‐order accuracy of the method.
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