A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations

Mittal, R. C.; Kumar, Sudhir; Jiwari, Ram

doi:10.1108/hff-07-2019-0597

Cited by 17 publications

(5 citation statements)

References 46 publications

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“…The fifth step is to use the trust level prediction model to make predictions, and finally end the process. Data preprocessing mainly involves interpolating missing data, and there are three traditional interpolation methods, namely elimination, single interpolation, and multiple interpolation [14]. Due to the uneven distribution of missing data, the processing of missing data is achieved through single and multiple interpolation methods.…”

Section: Calculation and Prediction Methods Construction Of Interacti...mentioning

confidence: 99%

RETRACTED ARTICLE: The design of network security protection trust management system based on an improved hidden Markov model

Chen

2023

EURASIP J. on Info. Security

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With the growth of the Internet, network security issues have become increasingly complex, and the importance of node interaction security is also gradually becoming prominent. At present, research on network security protection mainly starts from the overall perspective, and some studies also start from the interaction between nodes. However, the trust management mechanisms in these studies do not have a predictive function. Therefore, to predict trust levels and protect network security, this paper innovatively proposes a trust management system for network security protection based on the improved hidden Markov model. The research divides the trust level of inter-node interactions by calculating the threat level of inter-node interactions and predicts the trust level of inter-node interactions through an optimized hidden Markov model. In addition, the study designs an estimation of the types of interactive threats between nodes based on alarm data. The research results show that when inactive interaction tuples are not excluded, the average prediction accuracy of the combined model is 95.5%. In response time, the maximum values of the active and passive cluster management pages are 38 ms and 33 ms, respectively, while the minimum values are 16 ms and 14 ms, with an average of 26.2 ms and 24 ms, respectively. The trust management system designed by the research institute has good performance and can provide systematic support for network security protection, which has good practical significance.

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Section: Calculation and Prediction Methods Construction Of Interacti...mentioning

confidence: 99%

RETRACTED ARTICLE: The design of network security protection trust management system based on an improved hidden Markov model

Chen

2023

EURASIP J. on Info. Security

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“…Greville (Khalid et al, 2020) additionally stated that spline curves can be used in numerical methods during the same period. Mittal et al, (2020) also demonstrated the concept of the presence and uniqueness of specific bicubic splines. Majeed et al, (2020); Ahlberg, et al, (1965) studied the minimal normal characteristics of basic spline curves.…”

Section: Introductionmentioning

confidence: 94%

A Comprehensive Review of Applications of Spline Function

Khlefha

2024

IAJSE

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In this paper, spline functions were studied, which provide a way to create regular curves and surfaces using a set of points. They are vital tools in many scientific, engineering, medical, physical, chemical, and other fields. This may lead to its flexibility and high accuracy, which in turn leads to its widespread adoption in areas such as computer graphics and digital analysis, as well as medical imaging and financial software creation. What this research provides is a detailed and accurate review of many diverse and important applications of spline functions, as well as focusing on their importance and multiple uses.

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“…Case 2: Consider the two-dimensional inhomogeneous unsteady convection-diffusion equation as given in [47] ( )…”

Section: Numerical Testmentioning

confidence: 99%

A Rotated Similarity Reduction Approach with Half-Sweep Successive Over-Relaxation Iteration for Solving Two-Dimensional Unsteady Convection-Diffusion Problems

Ali¹,

Sulaiman²,

Saudi³

et al. 2023

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In this paper, we transformed a two-dimensional unsteady convection-diffusion equation into a two-dimensional steady convection-diffusion equation using the similarity transformation technique. This technique can be easily applied to linear or nonlinear problems and is capable of reducing the size of computational works since the main idea of this technique is to reduce at least one independent variable. The corresponding similarity equation is then solved numerically using an effective numerical technique, namely a new five-point rotated similarity finite difference scheme via half-sweep successive over-relaxation iteration. This work compared the performance of the proposed method with Gauss-Seidel and successive over-relaxation with the full-sweep concept. Numerical tests were carried out to obtain the performance of the proposed method using C simulation. The results revealed that the combination of the five-point rotated similarity finite difference scheme via half-sweep successive over-relaxation iteration is the most superior method in terms of the iteration number and computational time compared to all these methods. Additionally, in terms of accuracy, all three iterative methods are also comparable.

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A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations

Cited by 17 publications

References 46 publications

RETRACTED ARTICLE: The design of network security protection trust management system based on an improved hidden Markov model

RETRACTED ARTICLE: The design of network security protection trust management system based on an improved hidden Markov model

A Comprehensive Review of Applications of Spline Function

A Rotated Similarity Reduction Approach with Half-Sweep Successive Over-Relaxation Iteration for Solving Two-Dimensional Unsteady Convection-Diffusion Problems

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