International Journal for Numerical Methods in Fluids · 2004 · 27 citations · 13 references
Natural SciencesMathematicsComputational MechanicsComputational PhysicsDifferential EquationsApproximation MethodsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsPartial Differential EquationsDifferential Equation SolversNonlinear EvolutionNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsPartial Differential Equation SolversRational Approximation TheoryRational Function Approximation
Abstract A new numerical method called linearized and rational approximation method is presented to solve non‐linear evolution equations. The utility of the method is demonstrated for the case of differentiation of functions involving steep gradients. The solution of Burgers' equation is presented to illustrate the effectiveness of the technique for the solution of non‐linear evolution equations exhibiting nearly discontinuous solutions. Copyright © 2004 John Wiley & Sons, Ltd.
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