Hammad Khaliq
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Hammad Khaliq has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Amir Khan
Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan
1 shared publication - Iftikhar Ahmed
Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan
1 shared publication - Rahat Zarin
Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology, Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
1 shared publication - Usa Wannasingha Humphries
Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand
1 shared publication
Latest Publications
- Open Access
A Numerical Study Based on Haar Wavelet Collocation Methods of Fractional-Order Antidotal Computer Virus Model
Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze the effect of kill signal nodes on virus propagation, we use a fractional-order SIRA model using Caputo derivatives. In our model, we show how a computer virus spreads in a vulnerable system and how it is countered by an antidote. Using the Caputo operator, we fractionalized the model after examining it in deterministic form. The fixed point theory of Schauder and Banach is applied to the model under consideration to determine whether there exists at least one solution and whether the solution is unique. In order to calculate the approximate solution to the model, a general numerical algorithm is established primarily based on Haar collocations and Broyden’s method. In addition to being mathematically fast, the proposed method is also straightforward and applicable to different mathematical models.
Open AccessA Numerical Study Based on Haar Wavelet Collocation Methods of Fractional-Order Antidotal Computer Virus Model
Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze the effect of kill signal nodes on virus propagation, we use a fractional-order SIRA model using Caputo derivatives. In our model, we show how a computer virus spreads in a vulnerable system and how it is countered by an antidote. Using the Caputo operator, we fractionalized the model after examining it in deterministic form. The fixed point theory of Schauder and Banach is applied to the model under consideration to determine whether there exists at least one solution and whether the solution is unique. In order to calculate the approximate solution to the model, a general numerical algorithm is established primarily based on Haar collocations and Broyden’s method. In addition to being mathematically fast, the proposed method is also straightforward and applicable to different mathematical models.