Learn how free IIT courses on SWAYAM are breaking barriers, offering quality education, and helping students and ...

From Arduino, Python, to Thermodynamics and C and C++, we have combined some free courses from IIT Bombay, Kanpur, Guwahati, ...

sde-sim-rs is a high-performance library for simulating stochastic differential equations (SDEs), which are foundational in fields like quantitative finance, physics, and biology. By leveraging the ...

In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In ...

Abstract: Neural operators are a class of neural networks to learn mappings between infinite-dimensional function spaces, and recent studies have shown that using neural operators to solve partial ...

Many dynamic processes can be described mathematically with the aid of stochastic partial differential equations. Scientists have found a new method which helps to solve a certain class of such ...

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 ...

Differential equations are equations that involve an unknown function and its derivatives with respect to one or more independent variables. They play a fundamental role in various fields of science, ...

Cahn-Hilliard Equation: This equation models the time evolution of a scalar field $\phi$ which is a fourth-order partial differential equation that models phase separation. Its basic form in real ...