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标题：Numerical Solutions of Volterra Integral Equations Using Laguerre Polynomials
其他标题：Numerical Solutions of Volterra Integral Equations Using Laguerre Polynomials
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作者：M. A. Rahman ; M. S. Islam ; M. M. Alam 等
期刊名称：Journal of Scientific Research
印刷版ISSN：2070-0237
电子版ISSN：2070-0245
出版年度：2012
卷号：4
期号：2
页码：357
DOI：10.3329/jsr.v4i2.9407
语种：English
出版社：Rajshahi University
摘要：We solve numerically Volterra integral equations, of first and second kind with regular and singular kernels, by the well known Galerkin weighted residual method. For this, we derive a simple and efficient matrix formulation using Laguerre polynomials as trial functions. Several numerical examples are tested. The approximate solutions of some examples coincide with the exact solutions on using a very few Laguerre polynomials. The approximate results, obtained by the present method, confirm the convergence of numerical solutions and are compared with the existing methods available in the literature.Keywords: Volterra integral equations; Galerkin method; Laguerre polynomials.© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v4i2.9407 J. Sci. Res. 4 (2), 357-364 (2012)
关键词：Mathematics;Volterra integral equation; Galerkin method; Laguerre polynomials