Asymptotic solution of a class of integral equations encountered in the investigation of mixed problems of the mathematical physics for regions with cylindrical boundaries

1968 ◽  
Vol 32 (3) ◽  
pp. 402-413
Author(s):  
V.M. Aleksandrov ◽  
A.V. Belokon'
Keyword(s):  
Asymptotic Solution ◽  
Integral Equations ◽  
Mathematical Physics ◽  
Mixed Problems

scholarly journals Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid of Block-Pulse Functions and Chebyshev Polynomials

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Changqing Yang
Keyword(s):  
Integral Equations ◽  
Chebyshev Polynomials ◽  
Mathematical Physics ◽  
Fredholm Integral Equations ◽  
Chebyshev Series ◽  
Fredholm Type ◽  
Numerical Examples ◽  
Block Pulse Functions ◽  
Hybrid Function ◽  
Nonlinear Fredholm Integral Equations

A numerical method for solving nonlinear Fredholm integral equations of second kind is proposed. The Fredholm-type equations, which have many applications in mathematical physics, are then considered. The method is based upon hybrid function approximate. The properties of hybrid of block-pulse functions and Chebyshev series are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of nonlinear. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.

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