Results 21 to 30 of about 6,984 (280)
PENENTUAN JENIS FUNGSI BASIS RADIAL DALAM DUAL RECIPROCITY BOUNDARY ELEMENT METHOD
Majalah Ilmiah Matematika dan Statistika, 2021 Problems involving modified Helmholtz equation are considered in this paper. To solve the problem numerically, dual reciprocity boundary element method (DRBEM) is employed.
Millatuz Zahroh
doaj +1 more source
A Modified SSOR Preconditioning Strategy for Helmholtz Equations [PDF]
Journal of Applied Mathematics, 2011 The finite difference method discretization of Helmholtz equations usually leads to the large spare linear systems. Since the coefficient matrix is frequently indefinite, it is difficult to solve iteratively. In this paper, a modified symmetric successive overrelaxation (MSSOR) preconditioning strategy is constructed based on the coefficient matrix and
Wu, Shi-Liang, Li, Cui-Xia
openaire +4 more sources
Application of DRBEM for 2D sine-Gordon equation
Journal of Taibah University for Science, 2021 This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj +1 more source
A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures
Results in Applied Mathematics, 2023 This work concerns the propagation of flexural waves through one-dimensional periodic structures embedded in thin elastic plates. We show that the out-of-plane displacement of the plate only contains the Helmholtz wave component and the modified ...
Junhong Yue +3 more
doaj +1 more source
Modified Representations for the Close Evaluation Problem
Mathematical and Computational Applications, 2021 When using boundary integral equation methods, we represent solutions of a linear partial differential equation as layer potentials. It is well-known that the approximation of layer potentials using quadrature rules suffer from poor resolution when ...
Camille Carvalho
doaj +1 more source
, 2022 In this manuscript, the Cauchy problem of the modified Helmholtz equation is researched. This inverse problem is a serious ill-posed problem. The classical Landweber iterative regularization method is designed to find the regularized solution of this ...
Yong-Gang Chen, Fan Yang, Qian Ding
core +1 more source
Mathematics, 2022 Inhomogeneous elliptical inclusions with partial differential equations have aroused appreciable concern in many disciplines. In this paper, a pseudo-spectral collocation method, based on Fourier basis functions, is proposed for the numerical solutions ...
Xiao Wang +3 more
doaj +1 more source
Polynomial Approximation of an Inverse Cauchy Problem for Modified Helmholtz Equations
Academic Science Journal, 2023 In this paper, an inverse problem for the modified Helmholtz equation arising in heat conduction in the fin is considered. The goal of this paper is the determination of the temperature at the under-specified boundary (inner boundary of an annular domain)
Athraa Falih Hasanl +4 more
doaj +1 more source
An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation [PDF]
, 2019 This research aims to experiment the Modified Accelerated Overrelaxation (MAOR) scheme on second order iterative method for solving two dimensional (2D) Helmholtz Equation.
Senu, Norazak +3 more
core +1 more source
Exploring the Origin of Maximum Entropy States Relevant to Resonant Modes in Modern Chladni Plates
Entropy, 2022 The resonant modes generated from the modern Chladni experiment are systematically confirmed to intimately correspond to the maximum entropy states obtained from the inhomogeneous Helmholtz equation for the square and equilateral triangle plates.
Yu-Hsin Shu +5 more
doaj +1 more source