MSC2010: 05A19, 05A10, 11B83, 03C40. Keywords: Sums of powers, Newton's interpolation formula, Finite differences, Binomial coefficients, Faulhaber's formula ...
Abstract: Differential microphone arrays (DMAs) have demonstrated great advantages in high-fidelity acoustic signal acquisition and enhancement due to their capability to capture both the acoustic ...
ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...
Abstract: We consider the problem of finding an input signal which transfers a linear boundary controlled 1-D parabolic partial differential equation with spatially varying coefficients from a given ...
A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...
A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...
1 Département de Physique, Faculté des Sciences, Université du Burundi, Bujumbura, Burundi. 2 Software Engineering, College of Software, Nankai University, Tianjin, China. 3 Faculté des Sciences de ...
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 ...
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