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 ...

Abstract: The aim of this article is to present a hybrid finite element/finite difference method which is used for reconstructions of electromagnetic properties within a realistic breast phantom. This ...

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Abstract: The meshless generalized finite difference method (GFDM) was used to simulate elastic wave propagation in the frequency domain. Dispersion analysis and numerical experiments were conducted ...

1 Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia 2 Department of Mathematics and Applied Mathematics, University of the Western Cape, Cape Town, South ...

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 ...

Initial stress and additional effective stress distributions in soil greatly influence the degree of ground consolidation when calculating one-dimensional soft clay ground consolidation in deep soil.

Option pricing with various models (Black-Scholes, Heston, Merton jump diffusion, etc) and methods (Monte Carlo, finite difference, Fourier). Finite-Difference Approximations to the Heat Equation.