solving nonlinear volterra integro-differential equation by using legendre polynomial approximations
نویسندگان
چکیده
in this paper, we construct a new iterative method for solving nonlinear volterra integral equation of second kind, by approximating the legendre polynomial basis. error analysis is worked using banach fixed point theorem. we compute the approximate solution without using numerical method. finally, some examples are given to compare the results with some of the existing methods.
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عنوان ژورنال:
iranian journal of numerical analysis and optimizationجلد ۴، شماره ۲، صفحات ۷۳-۰
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