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Bashar Talib Al-Nuaimi, H.K. Al-Mahdawi, Zainalabideen Albadran, Hussein Alkattan, Mostafa Abotaleb and El-Sayed M. El-kenawy
The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T...
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Edward T. Bednarz and Ryan R. Mulligan
A structural beam which is subjected to shear forces acting perpendicularly to its longitudinal axis will experience longitudinal and transverse shear stresses. In beams where failure in the transverse direction is plausible, it is desirable to maintain ...
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Miglena N. Koleva and Lubin G. Vulkov
The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time. We consider the inverse retrospective problem for a one-dimensional parabolic equation in two dis...
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Nizam Ghawadri, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail and Zarina Bibi Ibrahim
In this study, fifth-order and sixth-order diagonally implicit Runge–Kutta type (DIRKT) techniques for solving fourth-order ordinary differential equations (ODEs) are derived which are denoted as DIRKT5 and DIRKT6, respectively. The first method ha...
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Nizam Ghawadri, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail and Zarina Bibi Ibrahim
In this study, fifth-order and sixth-order diagonally implicit Runge?Kutta type (DIRKT) techniques for solving fourth-order ordinary differential equations (ODEs) are derived which are denoted as DIRKT5 and DIRKT6, respectively. The first method has thre...
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Fan Yang, Yongan Wang, Manling Dong, Xiaokuo Kou, Degui Yao, Xing Li, Bing Gao and Irfan Ullah
The corrosion of grounding grids can result in a grounding accident of a power system, and much attentions has been concentrated on the method used to detect a corrosion fault in a grounding grid, in which the methods of voltage measurement and magnetic ...
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Valery Sizikov, Aleksandra Dovgan and Aleksei Lavrov
In this work, the problem of eliminating a nonuniform rectilinear smearing of an image is considered, using a mathematical- and computer-based approach. An example of such a problem is a picture of several cars, moving with different speeds, taken with a...
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Marwan Charara and Christophe Barnes
Full-waveform inversion for borehole seismic data is an ill-posed problem and constraining the problem is crucial. Constraints can be imposed on the data and model space through covariance matrices. Usually, they are set to a diagonal matrix. For the dat...
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Marwan Charara and Christophe Barnes
Full-waveform inversion for borehole seismic data is an ill-posed problem and constraining the problem is crucial. Constraints can be imposed on the data and model space through covariance matrices. Usually, they are set to a diagonal matrix. For the dat...
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Tim Jurisch, Stefan Cantré and Fokke Saathoff
A variety of studies recently proved the applicability of different dried, fine-grained dredged materials as replacement material for erosion-resistant sea dike covers. In Rostock, Germany, a large-scale field experiment was conducted, in which different...
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Ariele Zanfei, Andrea Menapace, Simone Santopietro and Maurizio Righetti
Proper hydraulic simulation models, which are fundamental to analyse a water distribution system, require a calibration procedure. This paper proposes a multi-objective procedure to calibrate water demands and pipe roughness distribution in the context o...
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Mei Li, Erhu Zhang, Yutong Wang, Jinghong Duan and Cuining Jing
Inverse halftoning is an ill-posed problem that refers to the problem of restoring continuous-tone images from their halftone versions. Although much progress has been achieved over the last decades, the restored images still suffer from detail loss and ...
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Fan Lin, Yingpin Chen, Yuqun Chen and Fei Yu
Image deblurring under the background of impulse noise is a typically ill-posed inverse problem which attracted great attention in the fields of image processing and computer vision. The fast total variation deconvolution (FTVd) algorithm proved to be an...
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Shuang Liu, Wei Zhong, Yudi Liu and Jie Xiang
In this paper, the eigenmode linear superposition (ELS) method based on the regularization is used to discuss the distributions of all eigenmodes and the role of their instability to the intensity and structure change in TC-like vortex. Results show that...
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Yunkang Du and Zuoliang Xu
In this paper, we recover the European option volatility function σ(t)" role="presentation">??(??)s(t)
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of the underlying asset and the fractional order α" role="presentation" style="position: relative;">??a
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of the time fra...
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Yuantian Qin, Yucheng Zhang, Vadim Silberschmidt and Luping Zhang
The location identification of dynamic load is an important part of load-identification technology. Traditional methods are mostly aimed at the identification of dynamic load?s amplitude and phase. A new method for dynamic load location identification is...
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Tatiana Lazovskaya, Dmitriy Tarkhov, Maria Chistyakova, Egor Razumov, Anna Sergeeva and Tatiana Shemyakina
The article presents the development of new physics-informed evolutionary neural network learning algorithms. These algorithms aim to address the challenges of ill-posed problems by constructing a population close to the Pareto front. The study focuses o...
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Talha Ali Khan and Sai Ho Ling
Electrical impedance tomography (EIT) has been a hot topic among researchers for the last 30 years. It is a new imaging method and has evolved over the last few decades. By injecting a small amount of current, the electrical properties of tissues are det...
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João Monteiro, Bruno Martins, Miguel Costa and João M. Pires
Datasets collecting demographic and socio-economic statistics are widely available. Still, the data are often only released for highly aggregated geospatial areas, which can mask important local hotspots. When conducting spatial analysis, one often needs...
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Matthew Fox and Andrew Carter
Thermochronometry is widely used to track exhumation, the motion of rock towards Earth?s surface, and to gain fresh insights into geodynamic and geomorphic processes. Applications require models to reconstruct a rock?s cooling history as it is exhumed fr...
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