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All Journal Palapa: Jurnal Study Keislaman dan Ilmu Pendidikan FONDATIA MANAZHIM Formosa Journal of Multidisciplinary Research (FJMR) Tsaqofah: Jurnal Penelitian Guru Indonesia ANWARUL: Jurnal Pendidikan dan Dakwah MASALIQ: Jurnal Pendidikan dan Sains ARZUSIN: Jurnal Manajemen dan Pendidikan Dasar Al-DYAS : Jurnal Inovasi dan Pengabdian kepada Masyarakat Journal of Multidisciplinary Science: MIKAILALSYS EDUMALSYS Journal of Research in Education Management Asian Journal of Science, Technology, Engineering, and Art Asian Journal of Early Childhood and Elementary Education Jurnal Pendidikan Matematika Radinka Journal of Science and Systematic Literature Review ALSYSTECH Journal of Education Technology Mikailalsys Journal of Advanced Engineering International Mikailalsys Journal of Mathematics and Statistics International Journal of Education, Management, and Technology International Journal of Humanities, Education, and Social Sciences Sigma&Mu: Journal of Mathematics, Statistics and Data Science Journal of Medical Genetics and Clinical Biology (JMGCB)
Sahani, Suresh Kumar
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Journal : ALSYSTECH Journal of Education Technology

 1 
Analytical Frameworks: Differential Equations in Aerospace Engineering Sahani, Suresh Kumar; Sah, Aman kumar; Jha, Anshuman; Sahani, Kameshwar
ALSYSTECH Journal of Education Technology Vol 2 No 1 (2024): ALSYSTECH Journal of Education Technology
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/alsystech.v2i1.2267

Abstract

This report explores the fundamental use of differential equations in understanding and modeling dynamic systems, tracing its roots for the contributions of mathematicians. Differential equations act as a basic platform for scientific and engineering research, providing insights into the dynamics of physical, and social systems. Their adaptability and associative applicability, especially in fields like environmental science and technology learning, highlight their main importance. The report dwells with specific applications in engineering, emphasizing their role in dynamic systems, control theory, and optimization. The definitions and types of differential equations are explained, showcasing their diverse characteristics. The historical evolution of differential equations, spanning centuries, underscores their continual refinement and application in various scientific disciplines. Moreover, the report presents hypothetical case studies illustrating the application of differential equations in the calculation of mass of fuel tank of rocket, time required by rocket to become triple its initial velocity. These examples showcase the practical utility of differential equations in enhancing precision and efficiency in space exploration. The advantages of application of differential equations in three-dimensional space are highlighted, emphasizing their role in realistic modeling, multidimensional dynamics, and scientific exploration. However, the report also contains certain drawback, such as increased complexity, computational intensity, and visualization challenges associated with three-dimensional systems. In conclusion, the study of differential equations remains vital for unraveling the complexities of the natural world and technological advancements, demonstrating their enduring significance in advancing human knowledge, healthcare, and innovation.
G-Calculus in Economic Growth Models: A Mathematical Framework Kumar, Nand Kishor; Sahani, Suresh Kumar
ALSYSTECH Journal of Education Technology Vol 3 No 2 (2025): ALSYSTECH Journal of Education Technology
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/alsystech.v3i2.5727

Abstract

Economic growth models are essential for understanding the long-term dynamics of economies, yet traditional models often rely on classical differential and integral calculus, which may inadequately represent discrete, nonlinear, or growth-oriented phenomena. This study aims to introduce G-Calculus (Geometric Calculus), an extension of non-Newtonian calculus, as an alternative analytical framework that is particularly effective for modeling multiplicative and exponential growth systems. We present the theoretical underpinnings of G-Calculus and apply it to established economic growth frameworks, such as the Solow model and endogenous growth theory. By utilizing a comparative analysis, we evaluate the performance of G-Calculus in capturing economic dynamics, revealing significant advantages in terms of both accuracy and applicability. The findings indicate that G-Calculus provides a more natural and effective representation of economic growth processes, thereby enhancing the analytical capabilities of economists. This study contributes to the existing literature by offering a novel perspective on economic modeling, suggesting that G-Calculus can be a valuable tool for researchers and policymakers aiming to gain deeper insights into economic development.
Co-Authors Aafrin khatun Acharya, Pradeep Chaudhary, Bhawesh Chaudhary, Sanjana Chaurasiya, Priyanshu Das, Prem Kumar Das, Rajnandani Das, Rakesh Jha, Aditya Jha, Anshuman Jha, Sagar Kameshwar Sahani Karn, Binod Lal Karn, Prashan Karna, S.K. Karna, Santosh Kumar khatun, Aafrin Kumar, Nand Kishor Mahato, Suraj Kumar Mahto, Shyam Kishor Mahto, Shyam Kishore Mandal, D.N. Mandal, Deb Narayan Mandal, Kripa Mandal, Nitesh Mishra, Arjun Kumar Mishra, Rozy Mishra, Sujal Pandit, Jay Kumar Poudel, Omkar Prasad, Kripa Sindhu Prasad, Nayan K. Prasad, Nayan Kumar Purbay, Roshni Regmi, Khem Raj Sah, Aanand Kumar Sah, Aman kumar Sah, Bikky Sah, Binod Kumar Sah, Deepak Kumar Sah, Kiran Kumari Sah, Kishan Kumar Sah, Mukesh Kumar Sah, Narayan Sah, Prince Sah, Rabi Sah, Rajesh Kumar Sah, Sarswati Kumari Sah, Shilpy Sah, Shivam Sah, Shivam Kumar Sahani, Kameshwar Sarswati Kumari Sah Shachi, Kumari Shah, Binod Shah, Neha Shah, Praveen Shah, Raj Kumar Sharma, Deep Raj Sharma, Dhiraj Kumar Sharma, Kritika Sharma, Nimy Sharma, Pravesh Sharma, Shivani Shrestha, Sujeena Kumari Singh, Vijay Vir Thakur, Aayush Thakur, Ambika Kumari Thakur, Asmita Thakur, Kritika Kumari Tiwari, S.K. Yadav, Dipendra Prasad Yadav, Dipendsra Prasad