Collocation method
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In this paper, numerical solutions of the Generalized Benjamin-Bona-MahonyBurgers (GBBMB) equation are obtained by collocation of quintic B-splines-based method. Applying the Von-Neumann stability analysis, the proposed method is shown to be unconditionally stable.
8p vijichoo2711 04-06-2021 15 2 Download
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In this paper, numerical solution of a mo Abstract dified generalized regularized long wave (mGRLW) equation are obtained by a method based on collocation of quintic B – splines. Applying the von – Neumann stability analysis, the proposed method is shown to be unconditionally stable.
9p vijichoo2711 04-06-2021 15 2 Download
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In this paper, numerical solutions of the modified regularized long wave (MRLW) equation are obtained by a method based on collocation of quartic B splines. Applying the von-Neumann stability analysis, the proposed method is shown to be unconditionally stable.
10p vijichoo2711 04-06-2021 20 2 Download
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In this paper, numerical solution of a modified generalized regularized long wave (mGRLW) equation are obtained by a new method based on collocation of quintic B – splines. Applying the von – Neumann stability analysis, the proposed method is shown to be unconditionallystable.
13p vijichoo2711 04-06-2021 26 1 Download
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In this work, solitary – wave solution of the generalized regularized long wave (GRLW) equation are obtained by using quintic B – spline collocation method. A linear new method based on collocation of quintic B – splines. Applying the von – Neumann stability analysis of the numerical scheme base on the von Neumann method is investigate.
11p vijichoo2711 04-06-2021 14 1 Download
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Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics
This paper deals with approximating the time fractional Tricomi-type model in the sense of the Caputo derivative. The model is often adopted for describing the anomalous process of nearly sonic speed gas dynamics. The temporal semi-discretization is computed via a finite difference algorithm, while the spatial discretization is obtained using the local radial basis function in a finite difference mode.
12p dayhoctainha 10-09-2020 23 4 Download
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This paper develops integral equation methods to the pricing problems of perpetual Bermudan options. By mathematical derivation, the optimal exercise boundary of perpetual Bermudan options can be determined by an integral-form nonlinear equation which can be solved by a root-finding algorithm. With the computational value of optimal exercise, the price of perpetual Bermudan options is written by a Fredholm integral equation.
14p nguyenminhlong19 21-04-2020 12 0 Download
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In this paper, numerical solution of a modified generalized regularized long wave (mGRLW) equation are obtained by a new method based on collocation of septic B – splines. Applying the von – Neumann stability analysis, the proposed method is shown to be unconditionally stable.
11p vigustavia2711 19-12-2019 11 1 Download
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The results obtained by this method were more economical than the modified Chebyshev collocation if the comparison could be done in the same accuracy, the same collocation points to find the most unstable eigenvalue.
8p elandorr 03-12-2019 4 1 Download
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English as Foreign Language students tend to learn vocabulary in word isolation, not in chunks or collocations which produces meager results in students’ collocational competence and lexical resources. In addition, a corpus-assisted method is used in this project because of its significant effectiveness in bringing real-world language use or authentic materials in teaching and learning collocations.
26p vilusaka2711 18-11-2019 31 3 Download
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In this paper, the Legendre spectral-collocation method was applied to obtain approximate solutions for some types of fractional optimal control problems (FOCPs). The fractional derivative was described in the Caputo sense. Two different approaches were presented, in the first approach, necessary optimality conditions in terms of the associated Hamiltonian were approximated. In the second approach, the state equation was discretized first using the trapezoidal rule for the numerical integration followed by the Rayleigh–Ritz method to evaluate both the state and control variables.
11p trinhthamhodang1 16-11-2019 18 0 Download
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The thesis consists of five main parts: The first chapter gives reasons for choosing the thesis, scope and aims of the study as well as the research method and the structure of the study, this chapter both reviews some previous studies related to the research area of the thesis and provides theoretical background to the concerning matters, in the third chapter, the methodology of the thesis including research-governing principles and research methods are introduced,...
91p minhxaminhyeu1 06-05-2019 62 10 Download
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In this paper, a collocation approach based on exponential polynomials is introduced to solve linear Fredholm–Volterra integro-differential equations under the initial boundary conditions. In addition, the results are compared with the results of other methods.
17p nutifooddau 21-01-2019 20 2 Download
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In this paper, a new approach for solving space fractional order diffusion equations is proposed. The fractional derivative in this problem is in the Caputo sense. This approach is based on shifted Chebyshev polynomials of the fourth kind with the collocation method.
15p danhdanh27 07-01-2019 32 1 Download
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In the paper the combination of collocation and factorization methods applied to numerical investigation of bubble-inside drop system dynamics is presented. Initially assumed bubble and drop have ellipsoidal forms.
17p chikychiky 27-10-2018 25 0 Download
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In this paper, we describe a method for automatically retrieving collocations from large text corpora. This method retrieve collocations in the following stages: 1) extracting strings of characters as units of collocations 2) extracting recurrent combinations of strings in accordance with their word order in a corpus as collocations. Through the method, various range of collocations, especially domain specific collocations, are retrieved.
6p bunthai_1 06-05-2013 31 3 Download
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This paper describes unsupervised learning algorithm for disambiguating verbal word senses using term weight learning. In our method, collocations which characterise every sense are extracted using similarity-based estimation. For the results, term weight learning is performed. Parameters of term weighting are then estimated so as to maximise the collocations which characterise every sense and minimise the other collocations. The resuits of experiment demonstrate the effectiveness of the method. ...
8p bunthai_1 06-05-2013 41 3 Download
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Current approaches to the prediction of associations rely on just one type of information, generally taking the form of either word space models or collocation measures. At the moment, it is an open question how these approaches compare to one another. In this paper, we will investigate the performance of these two types of models and that of a new approach based on compounding. The best single predictor is the log-likelihood ratio, followed closely by the document-based word space model.
9p bunthai_1 06-05-2013 47 2 Download
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In this paper a novel solution to automatic and unsupervised word sense induction (WSI) is introduced. It represents an instantiation of the ‘one sense per collocation’ observation (Gale et al., 1992). Like most existing approaches it utilizes clustering of word co-occurrences. This approach differs from other approaches to WSI in that it enhances the effect of the one sense per collocation observation by using triplets of words instead of pairs. The combination with a two-step clustering process using sentence co-occurrences as features allows for accurate results.
8p bunthai_1 06-05-2013 56 3 Download
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The paper describes ongoing work on the evaluation of methods for extracting collocation candidates from large text corpora. Our research is based on a German treebank corpus used as gold standard. Results are available for adjective+noun pairs, which proved to be a comparatively easy extraction task. We plan to extend the evaluation to other types of collocations (e.g., PP+verb pairs).
4p bunthai_1 06-05-2013 42 2 Download