Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear integral equation to finding the solution of nonlinear algebraic equations, in order to solve these nonlinear algebraic equations we use Newton method composed by generalized minimal residual (NGMRes) method, the iteration number and running time for implementation of NGMRes method are important parameters that have been considered to solve this type of integral equations. These methods are applied on several various nonlinear VFH integral equations that confirm accuracy and efficiency of the methods.
Language:
English
Published:
Mathematics and Computational Sciences, Volume:2 Issue: 1, Winter 2021
Pages:
1 to 16
https://www.magiran.com/p2322254  
سامانه نویسندگان
  • Zavvartorbati، Ahmad
    Author
    Zavvartorbati, Ahmad
    Assistant Professor electrical, farabi university,
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