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A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives

M. M. Khader, Khaled M. Saad, Zakia Hammouch, Dumitru Bǎleanu

2020Applied Numerical Mathematics94 citationsDOI

Topics & Concepts

MathematicsKorteweg–de Vries equationFractional calculusCollocation methodSpectral methodMathematical analysisPartial differential equationKernel (algebra)Orthogonal collocationOrdinary differential equationBurgers' equationSpace (punctuation)Applied mathematicsDifferential equationNonlinear systemPure mathematicsLinguisticsPhilosophyPhysicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsDifferential Equations and Numerical Methods
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives | Litcius