From a technical point of view, the internal structure of the library is pretty cool -- all kinds of equations (ODEs, SDEs, CDEs) are solved in a unified way (rather than being treated separately), ...

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Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China Department of Mathematics, Kunming University of Science and Technology ...

The tools for proper interactions between ApproxFun.jl and DifferentialEquations.jl for pseudospectiral partial differential equation discretizations in scientific machine learning (SciML) ...

The Schr\"{o}dinger-Hirota equation are studied in light transmission, optical fiber communication, and nonlinear effects in optics. The extended fourth Jacobi elliptic equation is used in this paper ...

This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems. The solution to these problems displays a ...

Abstract: This study deals with the analytical and approximate solutions of the Heat fractional Partial differential equation under Caputo’s definition. Through a practical and highly efficient ...

This paper presents In-Context Operator Networks (ICON), a neural network approach that can learn new operators from prompted data during the inference stage without requiring any weight updates.

School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China. Fractional differential equations have been widely used to describe complex problems in science ...

Abstract: An exact method is presented for discretizing a constant-coefficient, non-square, matrix differential Riccati equation, whose solution is assumed to exist ...