The NUMOL solution of time-dependent PDEs using DESI Runge—Kutta formulae
Copyright policy )The NUMOL solution of time-dependent PDEs using DESI Runge—Kutta formulae
The author investigates the efficiency of the DESI code on large dimension stiff systems with banded Jacobians, which arise from discretization of partial differential equations with the numerical method of lines (NUMOL). The results obtained by the DESI code are compared with the results obtained by the widely used BDF code LSODE. These results indicate that the code of DESI is competitive with the code of LSODE.
- Imperial College London United Kingdom
Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, implicit Runge-Kutta formulae, DESI code, method of lines, Initial value problems for second-order parabolic equations, BDF code LSODE
Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, implicit Runge-Kutta formulae, DESI code, method of lines, Initial value problems for second-order parabolic equations, BDF code LSODE
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