TY - JOUR
TI - Ninth-order, explicit, two-step methods for second-order inhomogeneous linear IVPs
AU - Kovalnogov, V.N.
AU - Simos, T.E.
AU - Tsitouras, C.
JO - Mathematical Methods in the Applied Sciences
PY - 2020
VL - 43
TODO - 7
SP - 4918-4926
PB - John Wiley and Sons Ltd
SN - 0170-4214, 1099-1476
TODO - 10.1002/mma.6246
TODO - Initial value problems, Constant coefficients;  Numerical solution;  Numerical tests;  Numerov method;  Order conditions;  Second orders;  Two step method;  Two-step hybrid methods, Numerical methods
TODO - In the present paper, the second-order linear inhomogeneous initial value problems (LI-IVP) with constant coefficients is of our interest. Two-step hybrid methods (ie, of Numerov-type) are considered for addressing this problem. Thus, a special set of order conditions is given and solved for derivation a low cost new method. Actually, we manage to save two stages per step. This is crucial as shown in various numerical tests where our new proposal outperforms standard methods in the relevant literature. © 2020 John Wiley & Sons, Ltd.
ER -