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Model-Free Reinforcement Learning for Parabolic Trajectory Optimization in Robotic Arms Aadarsh Karn; Neha Shah; Dilip Kumar Sah; Suresh Kumar Sahani
African Multidisciplinary Journal of Sciences and Artificial Intelligence Vol 3 No 1 (2026): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/amjsai.v3i1.9338

Abstract

Robotic arms are widely employed in applications that require smooth motion and energy-efficient operation, particularly in tasks such as object throwing and liquid dispensing, where movement often follows a curved path toward a target point. However, conventional trajectory planning methods that rely on predefined mathematical equations may not accurately represent real-world robotic systems due to uncertainties and payload variations. This study aims to optimize the trajectory of a robotic arm moving along a parabolic path using reinforcement learning and to evaluate whether this approach can successfully learn improved trajectory patterns during motion. The research integrates initial classical physics principles for curved motion with a reinforcement learning framework to enhance trajectory following toward a desired point. The findings indicate that reinforcement learning can effectively learn optimized trajectory paths and improve the motion performance of the robotic arm. The study concludes that reinforcement learning offers a promising approach for achieving smoother robotic motion with satisfactory energy efficiency under dynamic conditions. This work contributes to the advancement of intelligent motion planning by demonstrating the potential of reinforcement learning to improve trajectory optimization in robotic systems operating under practical uncertainties.
Mathematical Analysis of the Impact of Climate Factors and Agricultural Practices on Rice Yield in Nepal: A Time Series Data Analysis Omkar Poudel; Nand Kishor Kumar; Pradeep Acharya; Deep Raj Sharma; Suresh Kumar Sahani
Journal of Multidisciplinary Science: MIKAILALSYS Vol 3 No 2 (2025): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v3i2.5725

Abstract

Rice is a staple food and a crucial element of Nepal’s agrarian economy; however, its yield is significantly affected by climatic factors such as rainfall and temperature, as well as agricultural practices like pesticide use. Understanding these dynamics is essential for sustaining productivity in the face of climate change. This study employs an Autoregressive Distributed Lag (ARDL) model to analyze 33 years of time-series data (1990–2022), focusing on key variables including rice yield, temperature, rainfall, and pesticide use, all derived from secondary data sources. Diagnostic tests confirmed normality (????=0.06), absence of serial correlation (????=0.58), and homoscedasticity (????=0.68), with stability validated through CUSUM and CUSUMSQ tests. The results indicate that temperature has a significant positive long-term impact on rice yield (????=2181.48, ????<0.05), suggesting that moderate warming can enhance productivity. Rainfall exerts a marginal positive effect (????=5.10, ????=0.05), while pesticide use shows a strong correlation with yield (????=17.70, ????<0.01). The Granger Causality Test identifies temperature (????=7.76, ????<0.01) and pesticide use (????=11.25, ????<0.01) as critical predictors of rice yield. These findings demonstrate that while temperature and pesticide use significantly affect rice yield, the impact of rainfall is diminished due to effective irrigation systems. Nevertheless, the heavy reliance on pesticides raises sustainability concerns, underscoring the necessity for integrated pest management and environmental safeguards. This study advocates for the adoption of climate-smart agricultural practices, enhancement of irrigation infrastructure, and promotion of sustainable pesticide management, offering actionable insights for policymakers to devise adaptive strategies that bolster resilience and productivity in Nepal’s rice sector.
Physics-Informed Neural Networks for Solving Stochastic Differential Equations Rishav Jha; Kameshwar Sahani; Suresh Kumar Sahani; Ravi Kumar Raj; Dilip Kumar Sah
Journal of Multidisciplinary Science: MIKAILALSYS Vol 4 No 2 (2026): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v4i2.10240

Abstract

Stochastic differential equations (SDEs) are fundamental tools for modeling systems with inherent randomness across finance, physics, biology, and engineering; however, traditional numerical methods, including Monte Carlo simulations and Euler–Maruyama schemes, often face substantial computational challenges, particularly in high-dimensional settings. This study aims to develop and evaluate a comprehensive Physics-Informed Neural Networks (PINNs) framework as an efficient approach for solving SDEs. The proposed methodology embeds physical laws and stochastic dynamics directly into the neural network architecture through a carefully designed loss function that incorporates PDE residuals, initial conditions, and boundary constraints. The framework was evaluated through extensive numerical experiments on benchmark problems, including geometric Brownian motion, Ornstein–Uhlenbeck processes, and multi-dimensional stochastic systems. The findings indicate that PINNs achieve accuracy comparable to traditional numerical methods while providing substantial computational advantages, especially for parametric studies and real-time applications. Across all test cases, relative L2 errors consistently remained below 2%, and computational speedups reached up to 1000 times compared with Monte Carlo methods after network training. The proposed framework also demonstrated strong scalability for higher-dimensional problems, addressing the curse of dimensionality commonly associated with conventional numerical approaches. This study concludes that PINNs offer a promising paradigm for the efficient and accurate solution of stochastic differential equations. Its contribution lies in advancing scientific machine learning for stochastic modeling and opening further opportunities for uncertainty quantification and real-time computational applications.
Classical Study of Exponential Function and Their Applications Aayush Thakur; Rakesh Das; Shivam Sah; Suresh Kumar Sahani; Kameshwar Sahani
ANWARUL Vol 4 No 3 (2024): ANWARUL: Jurnal Pendidikan dan Dakwah
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/anwarul.v4i3.2873

Abstract

The exponential function as a mathematical concept plays an important role in the corpus of mathematical knowledge, but unfortunately students have problems grasping it. Paper exposes example of exponential example of exponential function application in real world. One of the most prevalent application of exponential function involves growth and decay models. Exponential growth and decay show up in a host of natural application. From population Growth and continuously compounded interest to radioactive decay and Newton’s law of cooling, exponential function are ubiquitous in nature. In this section, we examine exponential growth and decay in the context of some of the application. In the preceding section, we examined a population growth problem in which the population grew at a fixed percentage each year. In that case, we found that the population can be described by exponential function. A similar analysis will show that any process in which a quantity grows by a fixed percentage each year can be modeled by an exponential function. Compound interest is good example of such a process. This work is motivated by the works of [1-15, 22]. Other example of exponential function are bacterial growth, bacterial decay, population decline, are obtained in this project.