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Sandile Motsa
This study presents a new variant of the hybrid block methods (HBMs) for solving initial value problems (IVPs). The overlapping hybrid block technique is developed by changing each integrating block of the HBM to incorporate the penultimate intra-step po...
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Musa Ahmed Demba, Poom Kumam, Wiboonsak Watthayu and Pawicha Phairatchatniyom
In this work, a pair of embedded explicit exponentially-fitted Runge?Kutta?Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions. A variable step-size technique is used for the deriv...
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Omar Khalil, Hany El-Sharkawy, Maha Youssef and Gerd Baumann
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the...
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Noori Y. Abdul-Hassan, Zainab J. Kadum and Ali Hasan Ali
In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge?Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accu...
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Oluwaseun Adeyeye
Pág. 112 - 124
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Chong Sun and Qin Sheng
This paper studies an effective finite difference scheme for solving two-dimensional Heston stochastic volatility option-pricing model problems. A dynamically balanced up-downwind strategy for approximating the cross-derivative is implemented and analyze...
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David W. Hinckley, Jr. and Darren L. Hitt
In this paper, we use differential evolution (DE), with best-evolved results refined using a Nelder?Mead optimization, to solve boundary-value complex problems in orbital mechanics relevant to low Earth orbits (LEO). A class of Lambert-type problems is e...
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David W. Hinckley, Jr. and Darren L. Hitt
In this paper, we use differential evolution (DE), with best-evolved results refined using a Nelder?Mead optimization, to solve boundary-value complex problems in orbital mechanics relevant to low Earth orbits (LEO). A class of Lambert-type problems is e...
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Y. Shan,P. Bettinger,C. Cieszewski,W. Wang
Pág. 468 - 480
We describe here an example of applying particle swarm optimization (PSO) ? a population-based heuristic technique ? to maximize the net present value of a contemporary southern United States forest plan that includes spatial constraints (green-up and ad...
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Yu Sun and Yingying Yang
Aiming at solving the problems of large calculation, time-consuming, and low segmentation accuracy of multi-threshold image segmentation, an adaptive threshold value based differential evolution algorithm is proposed in this paper. Firstly, an opposite l...
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Y. M. Pelekh
Pág. 126 - 130
The new applications of continued fraction to the development of numerical methods for the solution of integrodifferential equations are considered. The numerical methods of high-order accuracy for the solution of initial-value problems in Volterra integ...
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Cheng-Yu Ku, Chih-Yu Liu, Jing-En Xiao and Weichung Yeih
In this paper, a novel meshless method for the transient modeling of subsurface flow in unsaturated soils was developed. A linearization process for the nonlinear Richards equation using the Gardner exponential model to analyze the transient flow in the ...
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Shijie Shan, Jianming Zheng, Kai Wang, Ting Chen and Yuhua Shi
Aiming at the problems of the low detection accuracy and difficult identification of the early weak fault signals of rolling bearings, this paper proposes a method for detecting the early weak fault signals of rolling bearings based on a double-coupled D...
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Hai Tan, Zimo Shen and Jiguang Dai
The extraction of road information from high-resolution remotely-sensed images has important application value in many fields. Rural roads have the characteristics of relatively narrow widths and diversified pavement materials; these characteristics can ...
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Tae Dong Kim and Jin Ho Kim
The vibration energy derived from vehicle movement over a road surface was first converted to rotational energy during vehicle operation by installing blades in the suspension system. The rotational energy was converted to electrical energy using the rot...
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Peter Meisrimel and Philipp Birken
We consider initial value problems (IVPs) where we are interested in a quantity of interest (QoI) that is the integral in time of a functional of the solution. For these, we analyze goal oriented time adaptive methods that use only local error estimates....
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Ravi Agarwal, Snezhana Hristova, Donal O?Regan and Kremena Stefanova
The initial value problem for a special type of scalar nonlinear fractional differential equation with a Riemann?Liouville fractional derivative is studied. The main characteristic of the equation is the presence of the supremum of the unknown function o...
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Aditya Rio Prabowo, Dong Myung Bae and Jung Min Sohn
Roll on-roll off (Ro-Ro) ship is the preferable vessel for public transportation and also as a medium to distribute several commodities. Its operations are a straightforward process but traffic management is quite delicate, especially for cross-route. Mo...
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Boris Melnikov
Pág. 1 - 6
This paper is a continuation of our following previous papers, where we considered some simple algorithms for combining states of the given nondeterministic finite automaton, the reduction some problems related to the star-height to considering...
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Yuyu Yuan, Ahmed Zahir and Jincui Yang
Recommendation systems often use side information to both alleviate problems, such as the cold start problem and data sparsity, and increase prediction accuracy. One such piece of side information, which has been widely investigated in addressing such ch...
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