A simple Taylor-series expansion method for a class of second kind integral equations
نویسندگان
چکیده
منابع مشابه
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P. Huabsomboon et al. / Journal of Computational and Applied Mathematics 234 (2010) 1466–1472 1467 The first step in the Taylor expansion method presented in [1] is to write x(t) ≈ x(s)+ x(s)(t − s)+ · · · + 1 n! x(n)(s)(t − s)n. (1.2) Substituting (1.2) for x(t) in the integral in (1.1), we obtain [ 1− ∫ 1 0 k(s, t)dt ] x(s)− [∫ 1 0 k(s, t)(t − s)dt ] x(s)− · · · − [ 1 n! ∫ 1 0 k(s, t)(t − s)n...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1999
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00192-2