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ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

Developing an accurate mathematical model for parameter extraction in photovoltaic modules is a crucial endeavor in optimizing photovoltaic energy systems. This study seeks to assess and compare ...

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 ...

Technology is giving us more options for plastic waste, but new methods are still far from perfect. This article is from The Spark, MIT Technology Review’s weekly climate newsletter. To receive it in ...

Department of Mechanical Engineering, Graduate School of Engineering, Osaka University, Suita, Osaka 565-0871, Japan Article Views are the COUNTER-compliant sum of full text article downloads since ...

Abstract: This research investigates and compares the overall performance of different numerical methods, and focuses on their accuracy, what will be the convergence rate, and the computational cost ...

The program solves 2D steady-state and transient problems of structural analysis (linear-elasticity) and thermal analysis (conductive and convective heat transfer) with isoparametric and isogeometric ...

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