A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type
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DOI: 10.1016/j.apnum.2016.09.008
Abstract: Abstract In this paper, a spectral iterative method is employed to obtain approximate solutions of singular nonlinear Volterra integral equations, called Abel type of Volterra integral equations. The Abel's type nonlinear Volterra integral equations are… read more here.
Keywords: spectral iterative; iterative method; abel type; integral equations ... See more keywords
A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations
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DOI: 10.4208/cicp.oa-2016-0114
Abstract: This paper systematically compares the numerical implementation and computational cost between the Fourier spectral iterative perturbation method (FSIPM) and the finite element method (FEM) in solving partial differential equilibrium equations with inhomogeneous material coefficients and… read more here.
Keywords: spectral iterative; fourier spectral; iterative perturbation; equilibrium equations ... See more keywords