منابع مشابه
Numerical solution of two-dimensional integral equations of the first kind by multi-step methods
In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods. We also verify convergence and error analysis of the method. At t...
متن کاملTrigonometrically fitted two-step obrechkoff methods for the numerical solution of periodic initial value problems
In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numeri...
متن کاملTwo-Step Boundary Value Methods in the Solution of ODES
In this paper, we study boundary value methods (BVM methods) for solving initial value problems. These methods give some advantages with respect to usual initial value methods for ODES: for instance, BVM methods may be implemented efficiently on parallel computers. We propose two classes of BVM methods based on linear two-step schemes and we study their BVstability regions. The convergence will...
متن کاملThe two-step mechanism of nucleation of crystals in solution.
The formation of crystalline nanoparticles starts with nucleation and control of nucleation is crucial for the control of the number, size, perfection, polymorph modification and other characteristics of particles. Recently, there have been significant advances in the understanding of the mechanism of nucleation of crystals in solution. The most significant of these is the two-step mechanism of...
متن کاملThe symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems
In this paper, we propose a modification of the second order method introduced in [Q. Li and X. Y. Wu, A two-step explicit $P$-stable method for solving second order initial value problems, textit{Appl. Math. Comput.} {138} (2003), no. 2-3, 435--442] for the numerical solution of IVPs for second order ODEs. The numerical results obtained by the new method for some...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: F1000Research
سال: 2015
ISSN: 2046-1402
DOI: 10.12688/f1000research.7055.2