Local multiquadric scheme for solving two-dimensional weakly singular Hammerstein integral equations

2018 ◽  
Vol 32 (1) ◽  
pp. e2488 ◽  
Author(s):  
Pouria Assari ◽  
Fatemeh Asadi-Mehregan
Keyword(s):  
Integral Equations ◽  
Two Dimensional ◽  
Hammerstein Integral Equations ◽  
Weakly Singular

scholarly journals POLYNOMIAL SPLINE COLLOCATION METHOD FOR NONLINEAR TWO‐DIMENSIONAL WEAKLY SINGULAR INTEGRAL EQUATIONS

1997 ◽  
Vol 2 (1) ◽  
pp. 122-129 ◽  
Author(s):  
Arvet Pedas
Keyword(s):  
Integral Equations ◽  
Collocation Method ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Polynomial Spline ◽  
Two Dimensional ◽  
Spline Collocation ◽  
Spline Collocation Method ◽  
Weakly Singular ◽  
Weakly Singular Integral Equations

„Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p. 122-129

scholarly journals Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels

2005 ◽  
Vol 2005 (2) ◽  
pp. 171-181 ◽  
Author(s):  
M. Hadizadeh ◽  
M. Mohamadsohi
Keyword(s):  
Integral Equations ◽  
Singular Integral Equations ◽  
Nonlinear Functions ◽  
Product Integration ◽  
Existence And Uniqueness Results ◽  
Hammerstein Integral Equations ◽  
Uniqueness Results ◽  
Weakly Singular ◽  
Weakly Singular Integral Equations ◽  
Theoretical Results

We study the numerical solvability of a class of nonlinear weakly singular integral equations of Volterra-Hammerstein type with noncompact kernels. We obtain existence and uniqueness results and analyze the product integration methods for these equations under some verifiable conditions on the kernels and nonlinear functions. The convergence analysis is investigated and finally numerical experiments are given, which confirm our theoretical results.

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