Students can plan their studies for board exam preparation with the official CBSE Class 12 Applied Maths syllabus (2026-27).

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Artificial Intelligence (AI) has transformed how machines interact with and interpret the world, powering technologies from language models to autonomous systems. While AI is often associated with ...

Solving Ordinary Differential Equations (ODEs) is an essential and very challenging computational problem in many areas of science and engineering like physics, biology, control system, and economics.

Handling stiff vs. non-stiff systems with appropriate solvers. Adaptive step-size control to balance accuracy and efficiency. High-precision numerical integration for real-world simulations. Finite ...

In the last few decades, the role of numerical analysis and scientific computing has been increasing rapidly, especially for the solution of real-world problems. Mathematical models of infectious ...

The fractional stochastic delay differential equation (FSDDE) is a powerful mathematical tool for modeling complex systems that exhibit both fractional order dynamics and stochasticity with time ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...

This repository includes numerical integration-based solutions for solving non-linear equations. The solutions include Newton Raphson technique for algebraic ...

The fusion of deep learning with the resolution of partial differential equations (PDEs) marks a significant leap forward in computational science. PDEs are the backbone of myriad scientific and ...

Abstract: Partial differential equations (PDEs) are usually used to model complex electromagnetic systems, but solving them can be computationally expensive. Data-driven techniques have emerged as a ...