Introduction to analytical and numerical methods for finding solutions to differential equations involving two or more independent variables. Topics include linear partial differential equations, ...

Hermite approximation in multiple dimensions is investigated. As an example, a spectral scheme and a pseudospectral scheme for the Logistic equation are constructed, respectively. The stability and ...

Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), molecular ...

A partial differential operator together with functions [Source: Nature] Researchers have made a breakthrough in the ability to solve engineering problems. In a new paper published in Nature entitled, ...

Partial integral equation (PIE) representation of a partial differential equation (PDE) allows using computationally tractable algorithms for analysis, simulation, and optimal control. However, the ...

Framework for solving parabolic partial differential equations could guide computer graphics and geometry processing by Alex Shipps, Massachusetts Institute of Technology Editors' notes ...

Results obtained from this analytical model match well with both experimental data and numerical results obtained from the Richards equation. The availability of an explicit analytical expression for ...

Citation: Purnama SG and Susanna D (2020) Attitude to COVID-19 Prevention With Large-Scale Social Restrictions (PSBB) in Indonesia: Partial Least Squares Structural Equation Modeling.

Operator learning focuses on deriving properties from available data of a partial differential equation (PDE) or dynamic system. It has several obstacles, such as choosing a suitable neural operator ...

This article describes a method that modifies the auxiliary differential equation methodology for solving nonlinear partial differential equations [18]. Over the past 30 years, fresh and ...