scholarly journals On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel

2013 ◽  
Vol 26 (7) ◽  
pp. 699-705 ◽  
Author(s):  
Junjie Ma ◽  
Shuhuang Xiang ◽  
Hongchao Kang
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Convergence Rates ◽  
Highly Oscillatory ◽  
Bessel Kernel

scholarly journals COLLOCATION METHOD FOR FUZZY VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND

2020 ◽  
Vol 25 (1) ◽  
pp. 146-166 ◽  
Author(s):  
Zahra Alijani ◽  
Urve Kangro
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Integral Equations ◽  
Collocation Method ◽  
Volterra Integral Equation ◽  
Basis Function ◽  
Convergence Rates ◽  
Numerical Examples ◽  
Convergence Estimates ◽  
Upper And Lower Functions

In this paper we consider fuzzy Volterra integral equation of the second kind whose kernel may change sign. We give conditions for smoothness of the upper and lower functions of the solution. For numerical solution we propose the collocation method with two different basis function sets: triangular and rectangular basis. The smoothness results allow us to obtain the convergence rates of the methods. The proposed methods are illustrated by numerical examples, which confirm the theoretical convergence estimates.

Symmetry of integral equation systems with Bessel kernel on bounded domains

2011 ◽  
Vol 74 (2) ◽  
pp. 494-500 ◽  
Author(s):  
Xiaotao Huang ◽  
Dongsheng Li ◽  
Lihe Wang
Keyword(s):  
Integral Equation ◽  
Bounded Domains ◽  
Bessel Kernel

On the Volterra integral equation relating creep and relaxation

2008 ◽  
Vol 24 (3) ◽  
pp. 035009 ◽  
Author(s):  
R S Anderssen ◽  
A R Davies ◽  
F R de Hoog
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation
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