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ARTÍCULO
TITULO

BERNSTEIN?S APPROXIMATION OF GENERALIZED ABEL?S INTEGRAL EQUATION WITH APPLICATION IN TOMOGRAPHY

Shiva Sharma    
Prashant K. Pandey    
Rajesh K. Pandey    
Kamlesh Kumar    

Resumen

This paper presents the Bernstein and hybrid Bernstein approximations to solve the generalized Abel?s integral equations (GAIEs) via collocation approach. Bernstein polynomial and hybrid Bernstein functions are used in the approximation of GAIEs solutions and convergence analysis are presented in detail. To show the validity of the proposed methods, numerical examples are considered and an application is shown through Abel inversion in tomography.

PÁGINAS
REVISTAS SIMILARES
Aerospace
Algorithms
Computers

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