The main purpose of this paper is to approximate the solution of the nonlinear Volterra integral equation numerically in the reproducing kernel space. Consequently, in the study, combining Quasi-Newton's method and the least-square method, we develop a new method for solving this kind of equation. This technique transforms the non-linear Volterra integral equation into a linear algebraic system of equations, which can be solved by using the least-square method breezily. At the same time, to ensure the preciseness of the method, we strictly analyze the existence and uniqueness of e-approximate solution and its convergence. Finally, we illustrate the accuracy and reliability of this method by giving some examples.
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, IranBu Ali Sina Univ, Fac Sci, Dept Math, Hamadan 65178, Iran
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, IranBu Ali Sina Univ, Fac Sci, Dept Math, Hamadan 65178, Iran
机构:
Kharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, Iran
Babolian, Esmail
;
Javadi, Shahnam
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机构:
Kharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, Iran
Javadi, Shahnam
;
Moradi, Eslam
论文数: 0引用数: 0
h-index: 0
机构:
Kharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, Iran
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, IranBu Ali Sina Univ, Fac Sci, Dept Math, Hamadan 65178, Iran
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, IranBu Ali Sina Univ, Fac Sci, Dept Math, Hamadan 65178, Iran
机构:
Kharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, Iran
Babolian, Esmail
;
Javadi, Shahnam
论文数: 0引用数: 0
h-index: 0
机构:
Kharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, Iran
Javadi, Shahnam
;
Moradi, Eslam
论文数: 0引用数: 0
h-index: 0
机构:
Kharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, Iran