Syllabus: The NTA has put the official JEE Main 2026 Syllabus online on their website: jeemain.nta.nic.in. If you're planning ...

An almost analytic representation is presented for the solution of the nonhomogeneous and homogeneous, time-invariant and time-variant differential matrix Riccati equation. This representation gives a ...

The Ostrovsky–Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. Here the well-posedness of bounded solutions ...

Artifitial Neural Networks for Solving Ordinary and Partial Differential Equations, in this case, Schrodinger's Equation for One Particle in a 1-Dimentional Box This is a project done as a partial ...

The solvability of a delay differential equation arising in the construction of quadratic cost functionals, i.e., Lyapunov functionals, for a linear time-delay system with a constant and a distributed ...

Later, efforts have been made to approximate the solution operator for a differential equation with different parameters or initial/boundary conditions. Early in refs. 20 and 21, shallow neural ...

This article presented the combination of a simple method for second-order analysis with a formulation of the element tangent stiffness that uses shape functions that match the homogeneous solution of ...

One problem that has remained unresolved hitherto is a deductive proof of the solution to linear homogeneous differential equations of order 2, 3 or more. Solutions to this set of equations usually ...

On Tuesday, MIT researchers announced that they have devised a solution to a vexing computational bottleneck, not by widening the data pipeline, but by solving a differential equation that has ...

Our main concern here is to give a numerical scheme to solve a nonlinear multi-term fractional (arbitrary) orders differential equation. Some results concerning the existence and uniqueness have been ...