Evaluating of Dawson’s Integral by solving its differential equation using orthogonal rational Chebyshev functions

2008 ◽  
Vol 204 (2) ◽  
pp. 914-919 ◽  
Author(s):  
John P. Boyd
Keyword(s):  
Differential Equation ◽  
Rational Chebyshev Functions ◽  
Rational Chebyshev ◽  
Chebyshev Functions

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.

scholarly journals Approximation of Analytic Functions by Chebyshev Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Soon-Mo Jung ◽  
Themistocles M. Rassias
Keyword(s):  
Differential Equation ◽  
Analytic Functions ◽  
Chebyshev Functions

We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.

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