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求解线性Volterra-Fredholm方程的新方法 被引量:1

A Novel Method for Solving a Mixed Linear Volterra- Fredholm Itegral Equation
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摘要 结合直接法和逐次逼近法,给出求解线性Volterra-Fredholm方程的一种新方法.证明了方法的收敛性,数值算例说明该文方法简单有效. In this paper, by combining direct method and successive approaching method, a novel method for solving a mixed linear Volterra - Fredholm integral equation is proposed. The convergence of this method is given, numerical examples demonstrated that the method is simple and effective.
出处 《哈尔滨师范大学自然科学学报》 CAS 2015年第3期44-45,共2页 Natural Science Journal of Harbin Normal University
基金 黑龙江省教育厅科学技术研究项目(12521466) 河北省自然科学基金(A2015202335)
关键词 线性Volterra-Fredholm积分方程 直接法 逐次逼近法 Linear Voherra - Fredholm integral equation Direct method Successive approaching method
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参考文献6

  • 1Adibi H, Rismani A M. Numerical solution to a functional in- tegral equations using the Legendre - spectral method [ J ]. Aust J Basic Appl Sci, 2010,4:481 - 486.
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  • 3Hetmaniok E, Nowak I, Sota D, et al. A study of the conver- genee of and error estimation for the homotopy perturbation method for the Voherra - Fredholm integral equations [ J ]. Appl Math Lett, 2013,26 : 165 - 169.
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