An improved coarse-mesh nodal integral method for partial differential equations

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1098-2426(199703)13:2<113::AID-NUM1>3.0.CO;2-S" /><113::AID-NUM1>3.0.CO;2-S 10.1002/(SICI)1098-2426(199703)13:2<113::AID-NUM1>3.0.CO;2-SzbMath0873.65097OpenAlexW2162172859MaRDI QIDQ3123987

Rizwan-Uddin

Publication date: 30 October 1997

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199703)13:2<113::aid-num1>3.0.co;2-s

zbMATH Keywords

comparisonnumerical examplesBurgers equationcoarse meshnodal integral methodinherent upwinding

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

A modified nodal scheme for the time-dependent, incompressible Navier--Stokes equations. ⋮ A second-order space and time nodal method for the one-dimensional convection-diffusion equation ⋮ Hybrid numerical methods for convection--diffusion problems in arbitrary geometries. ⋮ Nodal integral method to solve the two-dimensional, time-dependent, incompressible Navier-Stokes equations in curvilinear coordinates ⋮ Predictor-corrector nodal integral method for simulation of high Reynolds number fluid flow using larger time steps in Burgers' equation

Cites Work

• A comparison of finite element and finite difference solutions of the one- and two-dimensional Burgers' equations
• Benchmarking the propagator method for nonlinear systems: a Burgers-Korteweg-deVries equation
• A nodal coarse-mesh method for the efficient numerical solution of laminar flow problems
• Spectral and finite difference solutions of the Burgers equations

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