scholarly journals A collocation method for linear integral equations in terms of the generalized Bernstein polynomials

2016 ◽  
Vol 4 (1) ◽  
pp. 203-203
Author(s):  
Nese Isler Acar ◽  
Aysegul Akyuz-Dascioglu
Keyword(s):  
Integral Equations ◽  
Collocation Method ◽  
Bernstein Polynomials ◽  
Linear Integral ◽  
Generalized Bernstein Polynomials ◽  
Linear Integral Equations

scholarly journals Numerical solution of linear integral equations system using the Bernstein collocation method

2013 ◽  
Vol 2013 (1) ◽  
pp. 123 ◽  
Author(s):  
Ahmad Jafarian ◽  
Safa A Measoomy Nia ◽  
Alireza K Golmankhaneh ◽  
Dumitru Baleanu
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Collocation Method ◽  
Linear Integral ◽  
Linear Integral Equations

scholarly journals On Solvability Conditions for a Certain Conjugation Problem

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 234
Author(s):  
Vladimir Vasilyev ◽  
Nikolai Eberlein
Keyword(s):  
General Solution ◽  
Differential Equations ◽  
Integral Equations ◽  
Mellin Transform ◽  
Algebraic Equations ◽  
Conjugation Problem ◽  
Solvability Conditions ◽  
Linear Algebraic Equations ◽  
Linear Integral ◽  
Linear Integral Equations

We study a certain conjugation problem for a pair of elliptic pseudo-differential equations with homogeneous symbols inside and outside of a plane sector. The solution is sought in corresponding Sobolev–Slobodetskii spaces. Using the wave factorization concept for elliptic symbols, we derive a general solution of the conjugation problem. Adding some complementary conditions, we obtain a system of linear integral equations. If the symbols are homogeneous, then we can apply the Mellin transform to such a system to reduce it to a system of linear algebraic equations with respect to unknown functions.

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