Meta's work made headlines and raised a possibility once considered pure fantasy: that AI could soon outperform the world's best mathematicians by cracking math's marquee "unsolvable" problems en ...

Integral transforms play a foundational role in applied mathematics, statistics, and theoretical physics, serving as powerful ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...

The steady-state heat equation for a circular plate with Dirichlet boundary conditions has been solved using a method that combines Fourier expansion and a second-order finite difference scheme. This ...

ALPHARETTA, Ga., Sept. 9, 2025 /PRNewswire/ -- Laplace Alternative Risk Solutions, a newly formed managing general underwriter (MGU) focused on alternative risk transfer (ART) solutions for large ...

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ABSTRACT: In previous papers, we proposed the important Z transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time.

Abstract: An exact solution for the Laplace's equation with Dirichlet boundary conditions in an arbitrary region is presented in this work. The solution is in the form of an integral in terms of the ...

Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey ...

ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...