Difference Methods for Boundary Value Problems in Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
Numerical Ordinary Differential Equations - Boundary Value Problems
Consider a second-order linear 2-point boundary value problem (BVP) −z + p(x)z + q(x)z = r(x) (10.1) z(a) = α (10.2) z(b) = β (10.3) where p(x), q(x) and r(x) are given. By defining y(x) := [z(x), z (x)] T , the problem can be changed into a first-order differential system y = 0 1 q(x) p(x) y + 0 −r(x) (10.4) y 1 (a) − α = 0 (10.5) y 2 (b) − β = 0. (10.6) Remark. In general, a linear 2-point BV...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 1975
ISSN: 0036-1429,1095-7170
DOI: 10.1137/0712059