Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels
Year: 2015
Author: Jie Shen, Changtao Sheng, Zhongqing Wang
Journal of Mathematical Study, Vol. 48 (2015), Iss. 4 : pp. 315–329
Abstract
We propose a generalized Jacobi spectral-Galerkin method for the nonlinear Volterra integral equations (VIEs) with weakly singular kernels. We establish the existence and uniqueness of the numerical solution, and characterize the convergence of the proposed method under reasonable assumptions on the nonlinearity. We also present numerical results which are consistent with the theoretical predictions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v48n4.15.01
Journal of Mathematical Study, Vol. 48 (2015), Iss. 4 : pp. 315–329
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Generalized Jacobi spectral-Galerkin method nonlinear Volterra integral equations with weakly singular kernels convergence analysis.