SHORTENING METHOD FOR FINDING A SOLUTION OF A COUNTABLE SYSTEM OF INTEGRODIFFERENTIAL EQUATIONS

2018 ◽  
Vol 6 (2) ◽  
pp. 19-23
Author(s):  
Ismagul R.S. ◽  
◽  
Ginolla T. ◽  
Keyword(s):  
Integrodifferential Equations ◽  
Countable System ◽  
System Of Integrodifferential Equations

scholarly journals Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
M. Tavassoli Kajani ◽  
S. Vahdati ◽  
Zulkifly Abbas ◽  
Mohammad Maleki
Keyword(s):  
Approximate Solution ◽  
Differential Equations ◽  
Galerkin Method ◽  
High Accuracy ◽  
Integrodifferential Equations ◽  
Expansion Test ◽  
Infinite Intervals ◽  
System Of Integrodifferential Equations ◽  
Rational Chebyshev ◽  
Chebyshev Functions

Rational Chebyshev bases and Galerkin method are used to obtain the approximate solution of a system of high-order integro-differential equations on the interval [0,∞). This method is based on replacement of the unknown functions by their truncated series of rational Chebyshev expansion. Test examples are considered to show the high accuracy, simplicity, and efficiency of this method.

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