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Andrea D?Ambrosio and Roberto Furfaro
This paper demonstrates the utilization of Pontryagin Neural Networks (PoNNs) to acquire control strategies for achieving fuel-optimal trajectories. PoNNs, a subtype of Physics-Informed Neural Networks (PINNs), are tailored for solving optimal control pr...
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Narendra Kumar, Amit K. Verma and Ravi P. Agarwal
In this paper, we introduce a novel approach employing two-dimensional uniform and non-uniform Haar wavelet collocation methods to effectively solve the generalized Burgers?Huxley and Burgers?Fisher equations. The demonstrated method exhibits an impressi...
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Ziyao Xiong, Jianwan Ding and Liping Chen
The trajectory planning method with dynamics is the key to improving the motion performance of manipulators. The optimal control method (OCM) is a key technology to solve optimal problems with dynamics. There are direct and indirect methods in OCM; indir...
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Francesca Pitolli, Chiara Sorgentone and Enza Pellegrino
Differential problems with the Riesz derivative in space are widely used to model anomalous diffusion. Although the Riesz?Caputo derivative is more suitable for modeling real phenomena, there are few examples in literature where numerical methods are use...
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Riya Aggarwal, Bishnu P. Lamichhane, Michael H. Meylan and Chris M. Wensrich
The main objective of the current work is to determine meshless methods using the radial basis function (rbf) approach to estimate the elastic strain field from energy-resolved neutron imaging. To this end, we first discretize the longitudinal ray transf...
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Thanh Hoai Nguyen and Kyoungsik Chang
In the present work, a comparative study of two major non-intrusive polynomial chaos methods, Point-Collocation Non-Intrusive Polynomial Chaos (NIPC) and Non-Intrusive Spectral Projection (NISP), was conducted for the transitional ??-????
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Francesca Pitolli
Fractional differential problems are widely used in applied sciences. For this reason, there is a great interest in the construction of efficient numerical methods to approximate their solution. The aim of this paper is to describe in detail a collocatio...
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Shiva Sharma,Prashant K. Pandey,Rajesh K. Pandey,Kamlesh Kumar
This paper presents the Bernstein and hybrid Bernstein approximations to solve the generalized Abel?s integral equations (GAIEs) via collocation approach. Bernstein polynomial and hybrid Bernstein functions are used in the approximation of GAIEs solution...
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Cheng-Yu Ku, Jing-En Xiao and Chih-Yu Liu
In this article, we present a meshless method based on the method of fundamental solutions (MFS) capable of solving free surface flow in three dimensions. Since the basis function of the MFS satisfies the governing equation, the advantage of the MFS is t...
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The Creative Research Group (CRG) is the special high-level scientific and innovation team funded by the National Natural Science Foundation of China to promote basic research at the frontiers of science. In general, there are problems of “structur...
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