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Ultra-FastNet: an end-to-end learnable network for multi-person posture prediction 超快网络:用于多人姿态预测的端到端可学习网络
Pub Date : 2024-08-26 DOI: 10.1007/s11227-024-06444-8
Tiandi Peng, Yanmin Luo, Zhilong Ou, Jixiang Du, Gonggeng Lin

At present, the top-down approach requires the introduction of pedestrian detection algorithms in multi-person pose estimation. In this paper, we propose an end-to-end trainable human pose estimation network named Ultra-FastNet, which has three main components: shape knowledge extractor, corner prediction module, and human body geometric knowledge encoder. Firstly, the shape knowledge extractor is built using the ultralightweight bottleneck module, which effectively reduces network parameters and effectively learns high-resolution local representations of keypoints; the global attention module was introduced to build an ultralightweight bottleneck block to capture keypoint shape knowledge and build high-resolution features. Secondly, the human body geometric knowledge encoder, which is made up of Transformer, was introduced to modeling and discovering body geometric knowledge in data. The network uses both shape knowledge and body geometric knowledge which is called knowledge-enhanced, to deduce keypoints. Finally, the pedestrian detection task is modeled as a keypoint detection task using the corner prediction module. As a result, an end-to-end multitask network can be created without the requirement to include pedestrian detection algorithms in order to execute multi-person pose estimation. In the experiments, we show that Ultra-FastNet can achieve high accuracy on the COCO2017 and MPII datasets. Furthermore, experiments show that our method outperforms the mainstream lightweight network.

目前,自上而下的方法需要在多人姿态估计中引入行人检测算法。本文提出了一种名为 Ultra-FastNet 的端到端可训练人体姿态估计网络,它由形状知识提取器、拐角预测模块和人体几何知识编码器三大部分组成。首先,利用超轻瓶颈模块构建形状知识提取器,有效降低网络参数,并有效学习关键点的高分辨率局部表征;引入全局注意力模块,构建超轻瓶颈块,捕捉关键点形状知识,构建高分辨率特征。其次,引入由 Transformer 组成的人体几何知识编码器,对数据中的人体几何知识进行建模和发现。该网络同时使用形状知识和人体几何知识(称为知识增强)来推断关键点。最后,利用拐角预测模块将行人检测任务建模为关键点检测任务。因此,可以创建一个端到端的多任务网络,而无需在执行多人姿态估计时加入行人检测算法。实验表明,Ultra-FastNet 可以在 COCO2017 和 MPII 数据集上达到很高的精度。此外,实验还表明我们的方法优于主流的轻量级网络。
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引用次数: 0
A novel Raft consensus algorithm combining comprehensive evaluation partitioning and Byzantine fault tolerance 结合综合评估分区和拜占庭容错的新型 Raft 共识算法
Pub Date : 2024-08-26 DOI: 10.1007/s11227-024-06438-6
Xiaohong Deng, Zhiwei Yu, Weizhi Xiong, Kangting Li, Huiwen Liu

Currently, Raft, as an mainstream consensus mechanism, has received widespread attention. Partition consensus can reduce the number of nodes involved in a single consensus and improve consensus efficiency. However, existing algorithms suffer from unreasonable partitioning and intolerance of Byzantine nodes. To address these problems, this paper proposes a novel Raft consensus algorithm combining comprehensive evaluation partitioning and Byzantine fault tolerance, CB-Raft. First, a comprehensive evaluation of nodes is conducted from the perspectives of consensus behavior and location, and the nodes are evenly divided based on the parity of the comprehensive ranking. Second, the leader is selected from the nodes with the top rankings in the comprehensive evaluation, and the nodes communicate with each other based on BLS signatures. Finally, a fast response mechanism based on cross-partition leader-follower communication is proposed to avoid the continued evil behavior of the leader, and a pipeline mechanism based on changeable signature thresholds is proposed to solve consensus blocking. The experimental results show that compared with the existing partitioning methods, the proposed partitioning scheme has significant advantages in terms of consensus latency, throughput, and the probability of partition success. Compared with the similar Raft algorithms, CB-Raft has high consensus performance and good resistance to Byzantine nodes.

目前,Raft 作为一种主流共识机制受到广泛关注。分区共识可以减少参与单次共识的节点数量,提高共识效率。然而,现有算法存在分区不合理、不容忍拜占庭节点等问题。针对这些问题,本文提出了一种结合综合评估分区和拜占庭容错的新型 Raft 共识算法,即 CB-Raft。首先,从共识行为和位置的角度对节点进行综合评价,并根据综合排名的奇偶性平均划分节点。其次,从综合排名靠前的节点中选出领导者,节点之间根据 BLS 签名进行通信。最后,提出了基于跨分区领导者-追随者通信的快速响应机制,以避免领导者的持续作恶行为,并提出了基于可变签名阈值的管道机制,以解决共识阻塞问题。实验结果表明,与现有的分区方法相比,所提出的分区方案在共识延迟、吞吐量和分区成功概率方面都有显著优势。与类似的 Raft 算法相比,CB-Raft 具有较高的共识性能和良好的抗拜占庭节点能力。
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引用次数: 0
GMS: an efficient fully homomorphic encryption scheme for secure outsourced matrix multiplication GMS:用于安全外包矩阵乘法的高效全同态加密方案
Pub Date : 2024-08-26 DOI: 10.1007/s11227-024-06449-3
Jianxin Gao, Ying Gao

Fully homomorphic encryption (FHE) is capable of handling sensitive encrypted data in untrusted computing environments. The efficient application of FHE schemes in secure outsourced computation can effectively address security and privacy concerns. This paper presents a novel fully homomorphic encryption scheme called GMS, based on the n-secret learning with errors (LWE) assumption. By utilizing block matrix and decomposition technology, GMS achieves shorter encryption and decryption times and smaller ciphertext sizes compared to existing FHE schemes. For secure outsourced matrix multiplication ({textbf {A}}_{mtimes n}cdot {textbf {B}}_{ntimes l}) with arbitrary dimensions, GMS only requires (O(max {m,n,l})) rotations and one homomorphic multiplication. Compared to the state-of-the-art methods, our approach stands out by achieving a significant reduction in the number of rotations by a factor of (O(log max {n, l})), along with a decrease in the number of homomorphic multiplications by a factor of n and (O(min {m, n, l})). The experimental results demonstrate that GMS shows superior performance for secure outsourced matrix multiplication of any dimension. For example, when encrypting a (64times 64)-dimensional matrix, the size of the ciphertext is only 1.27 MB. The encryption and decryption process takes approximately 0.2 s. For matrix multiplication ({textbf {A}}_{64times 64}cdot {textbf {B}}_{64times 64}), the runtime of our method is 39.98 s, achieving a speedup of up to 5X and 2X.

全同态加密(FHE)能够在不受信任的计算环境中处理敏感的加密数据。在安全外包计算中有效应用 FHE 方案,可以有效解决安全和隐私问题。本文基于 n 密钥错误学习(LWE)假设,提出了一种名为 GMS 的新型全同态加密方案。通过利用分块矩阵和分解技术,GMS 与现有的 FHE 方案相比,加密和解密时间更短,密文规模更小。对于任意维度的安全外包矩阵乘法({textbf {A}}_{mtimes n}cdot {textbf {B}}_{ntimes l}),GMS只需要(O(max {m,n,l})) 旋转和一次同态乘法。与最先进的方法相比,我们的方法显著减少了旋转次数(O(log max {n,l}),同时减少了同态相乘次数(n 和 (O(min {m,n,l}))。实验结果表明,GMS 在任何维度的安全外包矩阵乘法中都表现出卓越的性能。例如,在加密一个(64乘以64)维矩阵时,密文的大小仅为1.27 MB。对于矩阵乘法({textbf {A}}_{64times 64}cdot {textbf {B}}_{64times 64}/),我们的方法的运行时间为39.98秒,速度分别提高了5倍和2倍。
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引用次数: 0
Lightweight U-Net based on depthwise separable convolution for cloud detection onboard nanosatellite 基于深度可分离卷积的轻量级 U-Net 用于超小型卫星上的云检测
Pub Date : 2024-08-23 DOI: 10.1007/s11227-024-06452-8
Imane Khalil, Mohammed Alae Chanoui, Zine El Abidine Alaoui Ismaili, Zouhair Guennoun, Adnane Addaim, Mohammed Sbihi

The typical procedure for Earth Observation Nanosatellites involves the sequential steps of image capture, onboard storage, and subsequent transmission to the ground station. This approach places significant demands on onboard resources and encounters bandwidth limitations; moreover, the captured images may be obstructed by cloud cover. Many current deep-learning methods have achieved reasonable accuracy in cloud detection. However, the constraints posed by nanosatellites specifically in terms of memory and energy present challenges for effective onboard Artificial Intelligence implementation. Hence, we propose an optimized tiny Machine learning model based on the U-Net architecture, implemented on STM32H7 microcontroller for real-time cloud coverage prediction. The optimized U-Net architecture on the embedded device introduces Depthwise Separable Convolution for efficient feature extraction, reducing computational complexity. By utilizing this method, coupled with encoder and decoder blocks, the model optimizes cloud detection for nanosatellites, showcasing a significant advancement in resource-efficient onboard processing. This approach aims to enhance the university nanosatellite mission, equipped with an RGB Gecko imager camera. The model is trained on Sentinel 2 satellite images due to the unavailability of a large dataset for the payload imager and is subsequently evaluated on gecko images, demonstrating the generalizability of our approach. The outcome of our optimization approach is a 21% reduction in network parameters compared to the original configuration and maintaining an accuracy of 89%. This reduction enables the system to allocate only 61.89 KB in flash memory effectively, resulting in improvements in memory usage and computational efficiency.

对地观测超小型卫星的典型程序包括图像捕获、星载存储和随后传输到地面站等连续步骤。这种方法对星载资源的要求很高,而且会遇到带宽限制;此外,捕捉到的图像可能会被云层遮挡。目前,许多深度学习方法在云检测方面都达到了合理的精度。然而,超小型卫星在内存和能源方面的限制给有效实现星载人工智能带来了挑战。因此,我们提出了一种基于 U-Net 架构的优化微小机器学习模型,该模型在 STM32H7 微控制器上实现,用于实时云覆盖预测。嵌入式设备上的优化 U-Net 架构引入了深度可分离卷积(Depthwise Separable Convolution)技术,用于高效提取特征,从而降低了计算复杂度。通过利用这种方法以及编码器和解码器模块,该模型优化了纳卫星的云检测,展示了在资源节约型星载处理方面的重大进展。这种方法旨在加强大学纳卫星任务,该任务配备了 RGB Gecko 相机。由于无法获得有效载荷成像仪的大型数据集,该模型在哨兵2号卫星图像上进行了训练,随后在壁虎图像上进行了评估,从而证明了我们方法的通用性。我们优化方法的结果是,与原始配置相比,网络参数减少了 21%,准确率保持在 89%。这一减少使系统只需有效分配 61.89 KB 的闪存,从而提高了内存使用率和计算效率。
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引用次数: 0
HADTF: a hybrid autoencoder–decision tree framework for improved RPL-based attack detection in IoT networks based on enhanced feature selection approach HADTF:基于增强型特征选择方法的混合自动编码器-决策树框架,用于改进物联网网络中基于 RPL 的攻击检测
Pub Date : 2024-08-23 DOI: 10.1007/s11227-024-06453-7
Musa Osman, Jingsha He, Nafei Zhu, Fawaz Mahiuob Mohammed Mokbal, Asaad Ahmed

The Internet of Things (IoT) is evolving rapidly, increasing demand for safeguarding data against routing attacks. While achieving complete security for RPL protocols remains an ongoing challenge, this paper introduces an innovative hybrid autoencoder–decision tree framework (HADTF) designed to detect four types of RPL attacks: decreased rank, version number, DIS flooding, and blackhole attacks. The HADTF comprises three key components: enhanced feature extraction, feature selection, and a hybrid autoencoder–decision tree classifier. The enhanced feature extraction module identifies the most pertinent features from the raw data collected, while the feature selection component carefully curates’ optimal features to reduce dimensionality. The hybrid autoencoder–decision tree classifier synergizes the strengths of both techniques, resulting in high accuracy and detection rates while effectively minimizing false positives and false negatives. To assess the effectiveness of the HADTF, we conducted evaluations using a self-generated dataset. The results demonstrate impressive performance with an accuracy of 97.41%, precision of 97%, recall of 97%, and F1-score of 97%. These findings underscore the potential of the HADTF as a promising solution for detecting RPL attacks within IoT networks.

物联网(IoT)发展迅速,对保护数据免受路由攻击的需求也随之增加。虽然实现 RPL 协议的完全安全仍是一个持续的挑战,但本文介绍了一种创新的混合自动编码器-决策树框架(HADTF),旨在检测四种类型的 RPL 攻击:等级下降、版本号、DIS 泛洪和黑洞攻击。HADTF 由三个关键部分组成:增强特征提取、特征选择和混合自动编码器-决策树分类器。增强型特征提取模块从收集到的原始数据中识别出最相关的特征,而特征选择组件则精心挑选出最佳特征以降低维度。混合自动编码器-决策树分类器协同了两种技术的优势,从而实现了高准确率和高检测率,同时有效地减少了误报和误判。为了评估 HADTF 的有效性,我们使用自生成的数据集进行了评估。结果表明,HADTF 的准确率为 97.41%,精确率为 97%,召回率为 97%,F1 分数为 97%,表现令人印象深刻。这些发现凸显了 HADTF 作为检测物联网网络中 RPL 攻击的有前途的解决方案的潜力。
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引用次数: 0
Three-dimensional DV-Hop based on improved adaptive differential evolution algorithm 基于改进型自适应微分进化算法的三维 DV-Hop
Pub Date : 2024-08-22 DOI: 10.1007/s11227-024-06432-y
Vikas Mani, Abhinesh Kaushik

Wireless Sensor Networks have become an integral part of our lives with the advancement in the field of Internet of Technology. Multiple sensors operate together in Wireless Sensor Networks (WSNs) to collect data and communicate wirelessly with one another. For each sensor node’s data collection to be useful, it is essential to explore precise localization technology for WSNs. DV-Hop, as an easily implementable range-free localization algorithm, has gained significant popularity in the research community. As a result, many enhanced DV-Hop variations have been put out in the literature. However, the challenges of poor location accuracy associated with DV-Hop continue to spark interest among researchers, leading to further investigations and making it a preferred area for research in localization algorithms. Research in this paper proposes an improved version of three-dimensional DV-Hop algorithm based on improved adaptive differential evolution (3D-IADE DV-Hop). The proposed method optimizes the estimated coordinates using an improved version of adaptive differential evolution by controlling offspring generation behaviour. Moreover, we have demonstrated the superiority of 3D-IADE DV-Hop compared to other algorithms under consideration. The simulation results serve to strengthen our observations, confirming that the proposed algorithm outperforms its counterparts with enhanced performance and superiority.

随着技术互联网领域的发展,无线传感器网络已成为我们生活中不可或缺的一部分。在无线传感器网络(WSN)中,多个传感器共同收集数据并相互进行无线通信。为了使每个传感器节点的数据收集工作都能发挥作用,必须探索适用于 WSN 的精确定位技术。DV-Hop 作为一种易于实现的无范围定位算法,已在研究界大受欢迎。因此,文献中出现了许多增强型 DV-Hop 变体。然而,DV-Hop 所面临的定位精度低的挑战继续引发研究人员的兴趣,导致进一步的研究,并使其成为定位算法研究的首选领域。本文的研究提出了一种基于改进型自适应微分进化的改进版三维 DV-Hop 算法(3D-IADE DV-Hop)。所提出的方法通过控制后代生成行为,利用改进版自适应微分进化优化了估计坐标。此外,我们还证明了 3D-IADE DV-Hop 相比其他算法的优越性。仿真结果加强了我们的观察,证实了所提出的算法在性能和优越性方面优于其他同类算法。
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引用次数: 0
TADS: a novel dataset for road traffic accident detection from a surveillance perspective TADS:从监控角度检测道路交通事故的新型数据集
Pub Date : 2024-08-22 DOI: 10.1007/s11227-024-06429-7
Yachuang Chai, Jianwu Fang, Haoquan Liang, Wushouer Silamu

With the continuous development of socio-economics, the rapid increase in the use of road vehicles has led to increasingly severe issues regarding traffic accidents. Timely and accurate detection of road traffic accidents is crucial for mitigating casualties and alleviating traffic congestion. Consequently, road traffic accident detection has become a focal point of research recently. With the assistance of advanced technologies such as deep learning, researchers have designed more accurate and effective methods for detecting road traffic accidents. However, deep learning models are often constrained by the scale and distribution of their training datasets. Presently, datasets specifically tailored for road traffic accident detection suffer from limitations in scale and diversity. Furthermore, influenced by the recent surge in research on intelligent driver assistance systems, datasets from the surveillance perspective (the third-person viewpoint) are fewer than those from the driver’s perspective (the first-person viewpoint). Considering these shortcomings, this paper proposes a new dataset, Traffic Accident Detection from the Perspective of Surveillance (TADS). To the best of our knowledge, we are the first to attempt to detect traffic accident under the surveillance perspective with the aid of eye-gaze data. Leveraging the special data components within this dataset, we design the RF-RG model (input: the RGB and optical flow values of the frames; output: the RGB and gaze values of the predicted frame) for detecting road traffic accidents from a surveillance perspective. Comparative experiments and analyses are conducted with existing major detection methods to validate the efficacy of the proposed dataset and the approach. The TADS dataset has been made available at: https://github.com/cyc-gh/TADS/.

随着社会经济的不断发展,道路车辆的使用量迅速增加,导致交通事故问题日益严重。及时准确地检测道路交通事故对于减少人员伤亡和缓解交通拥堵至关重要。因此,道路交通事故检测成为近期研究的重点。在深度学习等先进技术的帮助下,研究人员设计出了更准确、更有效的道路交通事故检测方法。然而,深度学习模型往往受到训练数据集的规模和分布的限制。目前,专门用于道路交通事故检测的数据集在规模和多样性方面存在局限性。此外,受近期智能驾驶辅助系统研究热潮的影响,监控视角(第三人称视角)的数据集要少于驾驶员视角(第一人称视角)的数据集。考虑到这些不足,本文提出了一个新的数据集--监控视角下的交通事故检测(TADS)。据我们所知,我们是首次尝试在监控视角下借助眼动数据检测交通事故。利用该数据集中的特殊数据成分,我们设计了 RF-RG 模型(输入:帧的 RGB 和光流值;输出:预测帧的 RGB 和注视值),用于从监控角度检测道路交通事故。我们与现有的主要检测方法进行了对比实验和分析,以验证所提议的数据集和方法的有效性。TADS 数据集可在以下网址获取:https://github.com/cyc-gh/TADS/。
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引用次数: 0
BAPS: a blockchain-assisted privacy-preserving and secure sharing scheme for PHRs in IoMT BAPS:区块链辅助的个人健康记录隐私保护和安全共享方案(IoMT
Pub Date : 2024-08-22 DOI: 10.1007/s11227-024-06441-x
Hongzhi Li, Peng Zhu, Jiacun Wang, Giancarlo Fortino

Internet of Medical Things (IoMT) has gradually become the main solution for smart healthcare, and cloud-assisted IoMT is becoming a critical computing paradigm to achieve data collection, fine-grained data analysis, and sharing in healthcare domains. Since IoMT data can be frequently shared for accurate diagnosis, prognosis prediction, and health counseling, how to solve the contradiction between data sharing and privacy protection for IoMT data is a challenge problem. Besides, the cloud-assisted medical system is still at risk of a single point of failure and usually suffers from poor scalability and large response delay. Hence, we propose a blockchain-based privacy-preserving and secure sharing scheme for IoMT data, named BAPS. In BAPS, the Interplanetary File System (IPFS) is adopted to store encrypted records. Then, a non-interactive zero-knowledge proof protocol is employed to verify whether the stored data meets the specific request from data requesters without disclosing personal privacy. Moreover, we combine cryptographic primitives and decentralized smart contracts to achieve user anonymity. Finally, we leverage blockchain and proxy re-encryption to achieve fine-grained sharing of healthcare data. Security analysis indicates that this scheme meets the expected security requirements. The computational cost of BAPS is reduced by about 6% compared to state-of-the-art schemes, while the communication overhead is reduced by about 8%. Both theoretical analysis and experiment results show that this scheme can realize privacy-preserving and secure data sharing with acceptable computational and communication costs.

医疗物联网(IoMT)已逐渐成为智慧医疗的主要解决方案,而云辅助的 IoMT 正在成为医疗领域实现数据采集、细粒度数据分析和共享的重要计算范式。由于物联网医疗数据可以频繁共享,用于精确诊断、预后预测和健康咨询,如何解决物联网医疗数据共享与隐私保护之间的矛盾是一个难题。此外,云辅助医疗系统仍存在单点故障风险,通常存在扩展性差、响应延迟大等问题。因此,我们提出了一种基于区块链的 IoMT 数据隐私保护和安全共享方案,命名为 BAPS。BAPS 采用星际文件系统(IPFS)来存储加密记录。然后,在不泄露个人隐私的情况下,采用非交互式零知识证明协议来验证存储的数据是否符合数据请求者的特定要求。此外,我们还将加密原语和去中心化智能合约相结合,以实现用户匿名性。最后,我们利用区块链和代理重加密来实现医疗保健数据的细粒度共享。安全分析表明,该方案符合预期的安全要求。与最先进的方案相比,BAPS 的计算成本降低了约 6%,通信开销降低了约 8%。理论分析和实验结果都表明,该方案能以可接受的计算和通信成本实现保护隐私和安全的数据共享。
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引用次数: 0
HFS: an intelligent heuristic feature selection scheme to correct uncertainty HFS:纠正不确定性的智能启发式特征选择方案
Pub Date : 2024-08-22 DOI: 10.1007/s11227-024-06437-7
Liu Yanli, Xun PengFei, Zhang Heng, Xiong Naixue

In recent years, some researchers have combined deep learning methods such as semantic segmentation with a visual SLAM to improve the performance of classical visual SLAM. However, the above method introduces the uncertainty of the neural network model. To solve the above problems, an improved feature selection method based on information entropy and feature semantic uncertainty is proposed in this paper. The former is used to obtain fewer and higher quality feature points, while the latter is used to correct the uncertainty of the network in feature selection. At the same time, in the initial stage of feature point selection, this paper first filters and eliminates the absolute dynamic object feature points in the a priori information provided by the feature point semantic label. Secondly, the potential static objects can be detected combined with the principle of epipolar geometric constraints. Finally, the semantic uncertainty of features is corrected according to the semantic context. Experiments on the KITTI odometer data set show that compared with SIVO, the translation error is reduced by 12.63% and the rotation error is reduced by 22.09%, indicating that our method has better tracking performance than the baseline method.

近年来,一些研究人员将语义分割等深度学习方法与视觉 SLAM 结合起来,以提高经典视觉 SLAM 的性能。然而,上述方法引入了神经网络模型的不确定性。为了解决上述问题,本文提出了一种基于信息熵和特征语义不确定性的改进特征选择方法。前者用于获得更少、更高质量的特征点,后者用于修正特征选择中网络的不确定性。同时,在特征点选择的初始阶段,本文首先在特征点语义标签提供的先验信息中过滤和剔除绝对动态对象特征点。其次,结合外极几何约束原理,检测潜在的静态物体。最后,根据语义上下文修正特征的语义不确定性。在 KITTI 里程表数据集上的实验表明,与 SIVO 相比,平移误差减少了 12.63%,旋转误差减少了 22.09%,这表明我们的方法比基线方法具有更好的跟踪性能。
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引用次数: 0
An intelligent non-uniform mesh to improve errors of a stable numerical method for time-tempered fractional advection–diffusion equation with weakly singular solution 用智能非均匀网格改善弱奇异解的时间温差分数平流-扩散方程稳定数值方法的误差
Pub Date : 2024-08-22 DOI: 10.1007/s11227-024-06442-w
Mahdi Ahmadinia, Mokhtar Abbasi, Parisa Hadi

This paper introduces a finite volume element method for solving the time-tempered fractional advection–diffusion equation with weakly singular solution at initial time (t=0). An innovative approach is proposed to construct an intelligent non-uniform temporal mesh, which significantly reduces errors as compared to using a uniform temporal mesh. The error reduction is quantified in terms of percentage improvement of errors. Due to the presence of a large number of integral calculations involving complicated functions, we used parallel computing techniques to accelerate the computation process. The stability of the method is rigorously proven, and numerical examples are provided to demonstrate the effectiveness of the method and validate the theoretical results.

本文介绍了一种有限体积元方法,用于求解在初始时间具有弱奇异解的时间温差分数平流-扩散方程。本文提出了一种创新方法来构建智能非均匀时空网格,与使用均匀时空网格相比,该方法可显著减少误差。误差的减少以误差改善的百分比来量化。由于存在大量涉及复杂函数的积分计算,我们采用了并行计算技术来加速计算过程。我们严格证明了该方法的稳定性,并提供了数值示例,以展示该方法的有效性并验证理论结果。
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引用次数: 0
期刊
The Journal of Supercomputing
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