Abstract: This paper presents a finite difference method for the design of gradient coil in MRI. In this method, a linear matrix equation is formulated using a finite-difference approximation of the ...

The finite element method (FEM) is a numerical method for solving problems of engineering and mathematical physics. Typical problem areas of interest include structural analysis, heat transfer, fluid ...

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 ...

Solution of nonlinear two-point boundary-value problems is often an extremely difficult task. Quite apart from questions of reality and uniqueness, there is no established numerical technique for this ...

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Department of Mathematics and Applied Mathematics, Nelson Mandela University, University Way, Summerstrand, Gqeberha, South Africa The plan of this study is detailed below. Section 2 describes 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.

Helmholtz equation has attracted much attention in many fields such as electromagnetic cavity scattering problems [1] , wave propagation [2] and acoustic problems [3] . Many methods have been proposed ...