a method to approximate solution of the first kind abel integral equation using navot's quadrature and simpson's rule
نویسندگان
چکیده
in this paper, we present a method for solving the rst kind abel integral equation. in thismethod, the rst kind abel integral equation is transformed to the second kind volterraintegral equation with a continuous kernel and a smooth deriving term expressed by weaklysingular integrals. by using sidi's sinm - transformation and modi ed navot-simpson'sintegration rule, an algorithm for solving this kind of integral equation is proposed, thenthe convergence of algorithm is derived. some numerical results show the eciency of thementioned method.
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عنوان ژورنال:
international journal of industrial mathematicsجلد ۱، شماره ۱، صفحات ۱-۱۱
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