In this article, we reveal the novel types of exact solitons to the fourth-order nonlinear (1 + 1)-dimensional Boussinesq water wave equation. This model is obtained under the consideration of the ...
Contributed by Thomas Y. Hou; received January 13, 2025; accepted May 20, 2025; reviewed by Russel E. Caflisch, Javier Gómez-Serrano, Vladimir Sverak, and Terence C. Tao This contribution is part of ...
Abstract: In this paper, a successive radial basis function (RBF) approximation approach is proposed to solve the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) associated with ...
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial ...
Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space and time will satisfy certain partial differential equations because the ...
Anderson acceleration (AA) is a popular extrapolation technique used to accelerate the convergence of fixed-point iterations. It requires the storage of a (usually) small number of solution and update ...
Generic transport equations, comprising time-dependent partial differential equations (PDEs), delineate the evolution of extensive properties in physical systems, encompassing mass, momentum, and ...
With this issue I would like to get the discussion about a PDE/PDAE interface for the DifferentialEquations.jl ecosystem started. I should also note that I might be quite biased, because I am also ...
Abstract: In this article, the stabilization problem is addressed for a class of reaction–diffusion equation described by a cascaded partial differential equation (PDE)–ordinary differential equation ...
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