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 ...

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Peter was editor of The Journal of Computational Finance from 2008 to 2013. We have selected the papers in these two issues, contributed by his friends and colleagues worldwide, to reflect both the ...

A seemingly easy math puzzle making the rounds on the internet has left people scratching their heads as it requires some clever thinking. The brainteaser, that was shared on X this week by user ...

Abstract: Physics-informed neural networks (PINNs) offer a flexible framework for solving differential equations using physical constraints and data. This study focuses on second-order ...

The president convened a task force to “prosecute anti-Christian violence and vandalism.” Critics said he’d turned religious freedom on its head by singling out one faith. By Erica L. Green Reporting ...

This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...