Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...
Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...
1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.
Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...
ABSTRACT: In this paper, we investigate and analyze one-dimensional heat equation with appropriate initial and boundary condition using finite difference method. Finite difference method is a ...
Cahn-Hilliard Equation: This equation models the time evolution of a scalar field $\phi$ which is a fourth-order partial differential equation that models phase separation. Its basic form in real ...
Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...
1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...
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