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Solving Linear Fredholm-stieltjes Integral Equations Of The Second Kind By Using The Generalized Simpson’s Rule = İkinci tür lineer Fredholm-Stieltjes integral denklemlerinin genelleştirilmiş Simpson kuralı ile çözümü

Avıt ASANOV

In this paper, the generalized Simpson's rule (GSR) is applied to solve linear Fredholm-Stieltjes integral equations of the second kind (LFSIESK). A numerical example is presented to illustrate the method by using Maple. In some cases depending on the number of subintervals “n” , the results are calculated and compared. The graph of these results is plotted. An algorithm of this application is given by using Maple. - Keywords: Approximate Solutions, Linear Fredholm-Stieltjes Integral Equations, Simpson's Rule.

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Optimal distributed control for the processes of oscillation described by Fredholm integro-differential equations

Elmira ABDILDAYEVA

In this paper we investigate the problem of distributed optimal control for the oscillation processes described by Fredholm integro-differential equations with partial derivatives when the function of the external source depends nonlinearly on the control parameters. We have developed an algorithm for finding approximate solutions of nonlinear optimization problems with arbitrary precision. The developed method of solving nonlinear optimization problems is constructive and can be used in applications. - Keywords and phrases: boundary value problem, generalized solution, approximate solutions, ...Более

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