Operator splitting for numerical solution of the modified Burgers' equation using finite element method

DOI10.1002/num.22309zbMath1418.65148OpenAlexW2889475040WikidataQ115397913 ScholiaQ115397913MaRDI QIDQ5227261

N. Murat Yagmurlu, İhsan Çelikkaya, Yusuf Ucar

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22309

zbMATH Keywords

collocation methodstability analysisfinite element methodcubic B-splineStrang splittingmodified Burgers' equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation ⋮ The pointwise estimates of a conservative difference scheme for Burgers' equation ⋮ Semi-discrete and fully discrete HDG methods for Burgers' equation ⋮ Numerical treatment of Gray-Scott model with operator splitting method ⋮ Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions ⋮ Semi-implicit methods for advection equations with explicit forms of numerical solution ⋮ Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

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