ABSTRACT: We use the Power Series Method (PSM) numerical framework for estimating nonlinear variations of the Black-Scholes partial differential equations (PDE). The PSM offers an alternative to using ...

EVEN from the point of view of an undergraduate, the subject of differential equations is very diiferent from what it was fifty years ago. But in a large and miscellaneous collection of examples like ...

Department of Mathematics, University of Lagos, Lagos, Nigeria. Department of Mathematics, Yaba College of Technology, Lagos, Nigeria. Department of Mechanical Engineering, Yaba College of Technology, ...

There are various numerical and analytical approaches to the modeling and control of uncertain nonlinear systems. Fuzzy logic theory is an increasingly popular method used to solve inconvenience ...

Partial differential equations (PDEs) are among the most ubiquitous tools used in modeling problems in nature. However, solving high-dimensional PDEs has been notoriously difficult due to the “curse ...

Abstract: We present a method for the stability analysis of a large class of linear partial differential equations (PDEs) in one spatial dimension. We rely on Lyapunov analysis to establish the ...

This workshop covers trendy areas in modern numerical computing with examples from geoscientific applications. The physical processes governing natural systems' evolution are often mathematically ...

I try to implement the findings in the paper in this repo. Here's a summary of what I think is significant information. Neural Ordinary Differential Equations introduces an interesting way of ...

'Differential equations' describe how one quantity changes in response to a change in another. Many important examples concern how quantities change, or evolve, with time. Such differential equations ...