RT Journal Article
T1 Solving reaction-diffusion problems with explicit Runge–Kutta exponential methods without order reduction
A1 Cano, Begoña
A1 Moreta Santos, María Jesús
AB In this paper a technique is given to recover the classical order of the method when explicit exponential Runge–Kutta methods integrate reaction-diffusion problems. In the literature, methods of high enough stiff order for problems with vanishing boundary conditions have been constructed, but that implies restricting the coefficients and thus, the number of stages and the computational cost may significantly increase with respect to other methods without those restrictions. In contrast, the technique which is suggested here is cheaper because it just needs, for any method, to add some terms with information only on the boundaries. Moreover, time-dependent boundary conditions are directly tackled here.
PB EDP Sciences
SN 2822-7840
YR 2024
FD 2024-06-18
LK https://hdl.handle.net/20.500.14352/112200
UL https://hdl.handle.net/20.500.14352/112200
LA eng
NO B. Cano y M. J. Moreta. Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction, ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 58 (2024), 1053 – 1085.
NO Junta de Castilla y León
DS Docta Complutense
RD 4 abr 2025