... of moments Integral equations Finite difference method Scalar Helmholtz equation Wave diffraction and scattering Canonical scattering problems have represented a fundamental research field in applied mathematics for a prolonged period. Several foundational studies in this field have already...

... Emerald Publishing Limited Licensed re-use rights only Licensed re-use rights only Exposure simulations Inductive charging Magnetic dosimetry Wireless power transfer Inductive power transfer Finite difference method Finite integration technique Exemplary exposure situations...

... in tunnel environments. Design/methodology/approach The proposed method consists of two major steps: First, the higher-order NH (9,9) scheme is numerically discretized using the finite-difference method. The second step is to use an algorithm based on hierarchical interpolative factorization (HIF...

... difference implementation is presented for the beginners. The obtained simulation results are compared with the analytical solution. Findings It is shown that the alternating direction implicit finite difference method (FDM) is more efficient in terms of accuracy, computational time and memory than...

... be classified as an extension of the finite-difference method based on the new formulas approximating the derivatives. This method can be extended to the 3D or time-periodic 2D cases. Practical implications This paper presents a methodology for calculations of the self- and mutual-leakage inductances...

... Scalar-Potential finite difference method for the numerical analysis of human exposure to Magneto-Quasi-Static fields ”, IEEE Transactions on Magnetics , Vol. 53 No. 6 , pp. 1 - 4 . Zang , M. , Clemens , M. , Cimala , C. , Streckert , J. and Schmuelling , B. (2017b...

...: (1) d x ( t ) d t = x ′ ( t ) = f ( x , t ) , © Emerald Publishing Limited 2021 Emerald Publishing Limited Licensed re-use rights only Numerical analysis Circuit analysis Finite difference method Time-domain modeling Discrete electromagnetism Finite...

... Publishing Limited Licensed re-use rights only Demagnetization Ring winding AFPM Magnetic equivalent circuit Finite element method Axial flux machines Finite difference method Magnetic equivalent circuit One of the most important challenges in the design of permanent magnet (PM) motors...

... An alternative method has been proposed to create finite-difference equations and an effective method to solve the boundary-value problems. Research limitations/implications The proposed approach can be classified as an extension of the finite-difference method based on the new formulas approximating...

..., the conductivity σ=1 S/m, and the permeability µ=µ _{0) and therefore the time variation of the charge accumulated on the tissues boundaries is zero. The computations were performed using a Matlab routine, based on the Finite Difference Method. The created system of equations}...

... nodes and in this sense could be considered as somewhat restrictive. Equation 1 Historically, the oldest numerical technique for modelling magnetic fields is the finite difference method (FDM) (Erdelyi and Fuchs, 1970 ; Binns et al., 1992), frequently compared...