Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations
Publish place: Mathematics and Computational Sciences، Vol: 1، Issue: 2
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 205
This Paper With 16 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JMCS-1-2_001
تاریخ نمایه سازی: 17 خرداد 1400
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.
Keywords:
Authors
Ahmad Zavvartorbati
Malek Ashtar University of Technology, Tehran, Iran.