A new type of shooting method for nonlinear boundary value problems
نویسندگان
چکیده
منابع مشابه
Shooting Method for Nonlinear Singularly Perturbed Boundary-value Problems
Asymptotic formulas, as ε → 0, are derived for the solutions of the nonlinear differential equation εu+Q(u) = 0 with boundary conditions u(−1) = u(1) = 0 or u′(−1) = u(1) = 0. The nonlinear term Q(u) behaves like a cubic; it vanishes at s−, 0, s+ and nowhere else in [s−, s+], where s− < 0 < s+. Furthermore, Q (s±) < 0, Q (0) > 0 and the integral of Q on the interval [s−, s+] is zero. Solutions ...
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ژورنال
عنوان ژورنال: Alexandria Engineering Journal
سال: 2013
ISSN: 1110-0168
DOI: 10.1016/j.aej.2013.07.001