NIMS University (formerly National Institute of Medical Sciences) is a self-financed medical and technical university located in Jaipur, Rajasthan, India. It is recognized by University Grants Commission (UGC), established under the NIMS University Act 2008 by the government of India. The university was founded by Balvir S. Tomar. NIMS Medical College was ranked as the 5th emerging college in India by the India Today 2016 Nielsen Survey.
This review examines recent advances in semi-analytical and hybrid solution methodologies for nonlinear ordinary and partial differential equation (ODE/PDE) systems. Its primary focus is on the Adomian Decomposition Method (ADM), the Homotopy Perturbation Method (HPM), and the Akbari–Ganji Method (AGM). These approaches are categorized as semi-analytical because they combine analytical series expansions with iterative or numerical steps to obtain approximate solutions. Thereby occupying an intermediate position between fully analytical methods (i.e. exact closed-form solutions) and fully numerical techniques. The discussion systematically addresses their theoretical properties, including convergence behavior, computational requirements, and the role of hybrid extensions. Selected engineering applications are highlighted, with emphasis on nonlinear oscillators, heat transfer systems, biosensor modeling, and reaction–diffusion problems. A comparative assessment of strengths, limitations, and failure scenarios (e.g. stiffness, slow convergence) is provided to guide method selection. This study presents a structured synthesis that identifies problem classes, recommends appropriate solution methods, and highlights scenarios in which hybrid strategies can enhance stability and computational efficiency. Overall, this review provides researchers with a practical framework for selecting and applying semi-analytical methods to solve nonlinear problems efficiently.
Current research of aluminium alloy (AA2024) configured with hybrid reinforcements like 2 wt
To describe and compare maternal and perinatal outcomes in adolescent versus adult pregnancies at a tertiary perinatal referral network in South India. This hospital-based cross-sectional study included 1,022 adolescent pregnancies (≤ 19 years) compared with 90,911 pregnancies among women aged 20–34 years, at the study site between January 2013 and December 2023. Maternal characteristics, obstetric complications, mode of delivery, and neonatal outcomes were analysed using data extracted from an electronic medical record system. Adolescent pregnancies accounted for 1.03
Aluminium alloy composites are promising for automotive applications due to their significant properties, including lightweight, enhanced strength, and improved corrosion resistance. However, it found that consequences such as porosity, uneven particle distribution, and agglomerated structure reduce the mechanical behaviour of composites. This research addresses a research gap and enriches the overall properties of the aluminium alloy (AA2024) composite, integrated with 10 wt
The present research aims to reduce casting defects and enrich the functional properties of magnesium alloy (AZ91E) composites with hybrid reinforcements, including silicon carbide nanoparticles (SiC) and carbon nanotube (CNT) fibers, through a liquid stir casting process associated with vacuum die casting. The final composite contained 5 vol
