The ODE Formulation of Hyperbolic PDEs Discretized by the Spectral Collocation Method
Copyright policy )The ODE Formulation of Hyperbolic PDEs Discretized by the Spectral Collocation Method
The technique developed in this paper is useful to formulate hyperbolic partial differential equations (PDEs) with characteristic boundary conditions as pure ordinary differential equation (ODE) initial value problems. Then the time integration can be performed by an ODE solver suitably adjusting the step size depending on the dynamics of the problem.
Method of lines for initial value and initial-boundary value problems involving PDEs, time integration, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, hyperbolic partial differential equations, characteristic boundary conditions, Initial value problems for second-order hyperbolic equations, Numerical methods for initial value problems involving ordinary differential equations, spectral collocation method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
Method of lines for initial value and initial-boundary value problems involving PDEs, time integration, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, hyperbolic partial differential equations, characteristic boundary conditions, Initial value problems for second-order hyperbolic equations, Numerical methods for initial value problems involving ordinary differential equations, spectral collocation method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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