A collocation method for weakly singular integral equations with super-algebraic convergence rate

2015 ◽  
Vol 134 (3) ◽  
pp. 441-472
Author(s):  
Tilo Arens ◽  
Thomas Rösch
Keyword(s):  
Convergence Rate ◽  
Integral Equations ◽  
Collocation Method ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Weakly Singular ◽  
Weakly Singular Integral Equations ◽  
Algebraic Convergence

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 QUADRATIC SPLINE COLLOCATION METHOD FOR WEAKLY SINGULAR INTEGRAL EQUATIONS AND CORRESPONDING EIGENVALUE PROBLEM

2002 ◽  
Vol 7 (2) ◽  
pp. 285-296 ◽  
Author(s):  
R. Pallav ◽  
A. Pedas
Keyword(s):  
Eigenvalue Problem ◽  
Integral Equations ◽  
Collocation Method ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Spline Collocation ◽  
Quadratic Spline ◽  
Weakly Singular ◽  
Weakly Singular Integral Equations ◽  
Quadratic Spline Collocation

A quadratic spline collocation method for the numerical solution of weakly singular Fredholm integral equations of the second kind and corresponding eigenvalue problem is constructed. Using quasi‐uniform and special graded grids, the rate of convergence of proposed numerical schemes is studied theoretically and numerically. Key words: weakly singular integral equations, collocation method, quadratic splines.

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