NUMERICAL METHOD BASED ON BOOLE POLYNOMIAL FOR SOLUTION OF GENERAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH HYBRID DELAYS

NUMERICAL METHOD BASED ON BOOLE POLYNOMIAL FOR SOLUTION OF GENERAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH HYBRID DELAYS

K. E. Bicer, H. G. Dag

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Abstract

In this paper, the approximate solution of general functional integro differential equaions with hybrid delays is examined using of Boole polynomials and the collocation points. The solution is obtained as a truncated Boole series on a closed interval in the set of real numbers. By using this method, the approximate solutions of the problems are found. In addition, the error functions of the solutions are calculated by using the residual functions. Furthermore, the fundamental properties of the Boole polynomials and their generating functions are studied. Relationships between Boole polynomials and numbers, Stirling numbers and Euler polynomials and numbers are presented.

Keywords

Numerical methods, general functional integro-di erential equations,Boole polynomial, the error analysis.