ON CONSTRUCTIONOF THE APPROXIMATE SOLUTIONS OF SOME INTEGRAL EQUATIONS

Mohamed Abd EI-Azeez El-Amin;

Abstract


In this thesis, we develop Dzyadyk's method for finding an approximate solution of Hammerstein integral equation, and Volterra-Hammerstein
integral equation with smooth nonlinear kernel

in the space L by using Chebyshev polynomials,
p
and some linear polynomial operators.

Numerical results are presented to illustrate the procedure for these problems.


Other data

Title ON CONSTRUCTIONOF THE APPROXIMATE SOLUTIONS OF SOME INTEGRAL EQUATIONS
Other Titles عن تكوين الحلول التقريبية لبعض المعادلات التكاملية
Authors Mohamed Abd EI-Azeez El-Amin
Keywords .Approximate solution, Linear polynomial, Error estimation, Degenerate kernel, polynomial, Penalty partial Interpolation (PPQI) Technique. Chebyshev Quadratic
Issue Date 1999

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