Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...
Inverse problems in fractional differential equations encompass the challenging task of deducing unknown parameters, source terms or initial conditions from observed data in systems governed by ...
Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...
Physics-informed neural networks (PINNs) have shown remarkable prospects in solving forward and inverse problems involving partial differential equations (PDEs).
For questions about ordinary differential equations, which are differential equations involving ordinary derivatives of one or more dependent variables with respect to a single independent variable. For questions specifically concerning partial differential equations, use the [tag:pde] instead.
Does there exist any correspondence between difference equations and differential equations? In particular, can one cast some classes of ODEs into difference equations or vice versa?
As I am progressing differential equations practice, I found myself at somewhat of a roadblock. The roadblock is essentially that let's say we have the following equation:$$\int x^2\,dx=\int y\,dy....
Differential equations don’t have to feel like an endless maze of formulas. With the right mix of tech tools, real-world context, and problem-solving strategies, they can become a skill you actually ...
CU Boulder News & Events: APPM 2360, Introduction to Differential Equations with Linear Algebra, Spring 2018
Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...