ULAM STABILITY OF A PARTICULAR FREDHOLM INTEGRAL EQUATION WITH SINE AND COSINE FUNCTIONS

2017 ◽  
Vol 102 (9) ◽  
pp. 2121-2131
Author(s):  
R. Murali ◽  
E. Thandapani ◽  
A. Ponmana Selvan ◽  
A. Henry
Keyword(s):  
Integral Equation ◽  
Fredholm Integral Equation ◽  
Ulam Stability ◽  
Sine And Cosine Functions ◽  
Cosine Functions

On Improved Approximate Solution of the Fredholm Integral Equation

2006 ◽  
Vol 6 (3) ◽  
pp. 264-268
Author(s):  
G. Berikelashvili ◽  
G. Karkarashvili
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Fredholm Integral Equation ◽  
Algebraic Equations ◽  
Order Convergence ◽  
One Dimensional ◽  
Averaging Operator ◽  
Linear Algebraic Equations ◽  
Convergence Solution

AbstractA method of approximate solution of the linear one-dimensional Fredholm integral equation of the second kind is constructed. With the help of the Steklov averaging operator the integral equation is approximated by a system of linear algebraic equations. On the basis of the approximation used an increased order convergence solution has been obtained.

Some Mellin-type Definite Integrals Involving Sine and Cosine Functions

2019 ◽  
Vol 10 (1) ◽  
pp. 222-237
Author(s):  
M. I. Qureshi ◽  
Kaleem A. Quraishi ◽  
Dilshad Ahamad
Keyword(s):  
Definite Integrals ◽  
Sine And Cosine Functions ◽  
Cosine Functions
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