A computational revolution unleashed the power of artificial neural networks. At the heart of that revolution is automatic differentiation, which calculates the derivative of a performance measure ...

Abstract: In order to obtain fast solution of differential equations, as an example, detailed process of the solution of one-dimensional differential equation using B-spline wavelet scaling function ...

A simple, minimal example of C++ code organisation using a logistic differential equation model, solved using numerical (Runge Kutta 4th order) integration. Allows also for parameter estimation using ...

This project was undertaken as a dissertation for a Master's programme in Mathematics at Durham University (Oct. 2022 - Apr. 2023), where it attained a final grade of 85%. The report will be ...

In this paper we are concerned with the oscillation criteria of second order non-linear homogeneous differential equation. Example have been given to illustrate the results. [1] Al-Ashker, M.M.: ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...

In this paper, we investigate the nonlinear neutral fractional integral-differential equation involving conformable fractional derivative and integral. First of all, we give the form of the solution ...

In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In ...

In the realm of financial mathematics, differential equations play a pivotal role in modeling and solving problems related to various financial instruments and markets. These mathematical tools are ...