Abstract: Curved spaces, such as surfaces, provide a rich setting for the study of partial differential equations (PDEs). Building upon the extensive research conducted on PDEs in flat spaces, the ...

Abstract: In this paper, the controllability property for Caputo fractional delay Partial Random Differential Equations (PRDE) in Banach space are investigated. By utilizing the principles from ...

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

A collection of teaching scripts showing applications of partial differential equations to traffic modeling, battery thermal modeling, diffusion, and more.

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