The semi-discrete streamline diffusion finite element method for time-dependented convection–diffusion problems
Copyright policy )The semi-discrete streamline diffusion finite element method for time-dependented convection–diffusion problems
The authors present an approximate solution of a time-dependent evolution problem in one dimension using a Galerkin finite element method with special piecewise polynomials of degree \(p\). For solving the obtained problem the authors use the Runge-Kutta method of fourth order and prove the convergence and stability of this method.
- Minjiang University China (People's Republic of)
- Xinjiang University China (People's Republic of)
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Method of lines for initial value and initial-boundary value problems involving PDEs, convergence, semidiscretization, Runge-Kutta method, convection-diffusion problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Galerkin finite element method
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Method of lines for initial value and initial-boundary value problems involving PDEs, convergence, semidiscretization, Runge-Kutta method, convection-diffusion problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Galerkin finite element method
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