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Nonlinear differential equations extensively used mathematical models for many interesting and important phenomena observed in numerous areas of science and technology. They are inspired by problems in diverse fields such as economics, biology, fluid dynamics, physics, differential geometry, engineering, control theory, materials science, and quantum mechanics. This special issue aims to highlight recent developments in methods and applications of nonlinear differential equations. In addition, there are papers analyzing equations that arise in engineering, classical and fluid mechanics, and finance. In this paper, we present a new numerical approach, which is concerned with the solutions of Nonlinear Differential Equations determined by a new approximation system based on inverse Laplace transforms using Chebyshev polynomials functional matrix of integration. The obtained solutions are novel, and previous literature lacks such derivations. The reliability and accuracy of our approach were shown by comparing our derived solutions with solutions obtained by other existing methods. The efficiency of the proposed numerical technique is exhibited through graphical illustrations and results drafted in tabular form for specific values of the parameters to validate the numerical investigation. The system capability is clarified through several standard nonlinear differential equations: Duffing, Van der Pol, Blasius, and Haul. The numerical results illustrate that the estimated result is in good agreement with exact or numerical styles available in literature whenever the exact results are unknown. Errors estimation to the corresponding numerical scheme also is carried out.

Cloud computing is a new and advanced viewpoint for large-scale parallel and distributed computing systems. Cloud computing is growing quickly, and users are demanding more services and better results, so cloud-computing load balancing has become a very thought-provoking and important research area. Load on the cloud is growing extremely with the expansion of new applications. Load balancing is a major area of the cloud computing environment, which guarantees that all connected devices or processors simultaneously perform the same amount of work. Hence, an efficient load-balancing scheme is needed to improve the performance of cloud computing. Different researchers in the past years have proposed several load-balancing algorithms. This paper examines the important necessities and concerns for designing and implementing a suitable load balancer for cloud environments. In addition, we constitute an entire survey of recently proposed cloud load balancing solutions; finally, we propose evaluating these solutions based on suitable metrics and discuss their advantages and disadvantages.

Since the traditional time loading (TTL) very primitive before the era of information communication technology (ICT) and it was really not depended on the result of time-loading due to the old version of computer architecture (i.e. serial processing). Nevertheless, the parallel processing systems open a wide area of researching for electronic time loading (ETL) over different operating systems by programing languages (i.e. python or private home page (Php)). The electronic time loading (ETL) for cloud Computing (CC) is a hot experimental topic.  ETL for CC is not only one parameter (i.e. a web technologies type or a web applications type or an infrastructures type or an architectures type). Moderately, the term CC refers to the evolution of the information technology (IT). As we realized the ETL is very important for reducing time wasting. The reducing time-waste loading over different web operating systems or CC is a target in this paper.  Finally, this paper test the Electronic Loading Time of CC over different operating systems with different types of network (i.e. public and private) discovering the least ETL. Hence the benchmarking TTL is not applicable (N/A) due to the activity from a person to others is very changeable and not depended on it at all.  This paper shows the total time and load time over different OS in seconds, and find out the least time loading required this work is a good solution of the response time over different operating system in open source-LOS and non-open source WOS.