Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
Trigonometrically fitted predictor: corrector methods for IVPs with oscillating solutions
Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002
A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators
Journal of Computational and Applied Mathematics
Runge-Kutta methods adapted to the numerical integration of oscillatory problems
Applied Numerical Mathematics
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A scheme of trigonometrically fitted predictor-corrector (P-C) Adams-Bashforth-Moulton methods is constructed in this paper. Our new P-C method is based on the third order Adams-Bashforth scheme (as predictor) and on the fourth order Adams-Moulton scheme (as corrector). We tested the efficiency of our newly developed scheme against well known methods, with excellent results. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the numerical solution of initial value problems with oscillating solutions.