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ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 11، دوره 10، شماره 1، خرداد 1999 اصل مقاله (550.75 K) | ||
| چکیده | ||
| Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of Brunner for these problems (the implicitly linear collocation method).We also generalize this upper bound for nonlinear Volterra integro-differential and Volterra- Hammerstein integral equations of mixed type . Finally, several numerical examples are gken to show effectiveness of these bounds | ||
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