In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for ...

The Schrödinger equation for an isotropic three-dimensional harmonic ... Generalized ladder operators can be constructed for the three spherical spatial coordinates. Special emphasis is given to the ...

The author intends to write another book devoted to some supplementary topics such as the theory of functions of a complex argument, variational calculus, mathematical physics, some special questions ...

A novel analytical solution to the neutron diffusion equation is proposed in this study using the residual power series approach for both spherical and hemispherical fissile material reactors. Various ...

In this study, we have determined Green’s functions for Helmholtz integral equations in a spherical polar coordinate system in the whole plane domain with the aid of spectral Fourier transform ...

Internal planetary field code from spherical harmonics, in IDL, MATLAB and Python. This is part of a community code project: Magnetospheres of the Outer Planets Group Community Code Authors: R.J.

Abstract: We present a method for the numerical evaluation of 6D and 5D singular integrals appearing in Volume Integral Equations. It is an extension ... They are all based on relative coordinates ...

The center coordinate and radius of the spherical hedges are the basic phenotypic features for automatic pruning. A binocular vision-based shape reconstruction and measurement system for front-end ...