Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer

Abstract

© 2017 Pushpa Publishing House, Allahabad, India.The finite-difference scheme, constructed by the method of approximating an integral identity, is considered for a boundary value problem involving the one-dimensional Lame equations, which describe the problem of diffraction by gradient isotropic and transversal-isotropic layers. We prove that the finite-difference scheme is second-order accurate and can be recommended for use in solving the Lame equations with continuous coefficients.