Nonlinear partial differential equations (PDEs) characterise a wide range of complex phenomena in science and engineering, from fluid dynamics to signal processing in biomedical systems. In recent ...

In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one-dimensi ...

In this paper, the concept of multirate partial differential equations (MPDEs) is applied to obtain an efficient solution for nonlinear low-frequency electrical circuits with pulsed excitation. The ...

In this paper, lump solutions of nonlinear partial differential equations, the generalized (2 + 1)-dimensional KP equation and the Jimbo–Miwa equation, are studied by using the Hirota bilinear method ...

3 Hermite spectral scheme for the logistic model This section is for application of the Hermite spectral approximation to the Logistic equation in two-dimensions. We construct a Hermite spectral ...

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In ...

Morrey, C.B. (1938) On the Solutions of Quasi-Linear Elliptic Partial Differential Equations. Transactions of the American Mathematical Society, 43, 126-166.

Learning data-driven discretizations for partial differential equations Code associated with the paper: Learning data-driven discretizations for partial differential equations. Yohai Bar-Sinai, ...

Course content The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In ...

SUNDIALS is released under the BSD 3-clause license. See the LICENSE and NOTICE files for details. All new contributions must be made under the BSD 3-clause license. Please Note If you are using ...

Differential cost analysis focuses your attention on the expense side of the equation. For example, a company might engage in differential analysis in accounting when deciding where to outsource ...

Books Received Published: 11 June 1932 Partial Differential Equations of Mathematical Physics E. T. WHITTAKER Nature 129, 850–851 (1932) Cite this article ...