Generalized Quasilinearization Method for a Second Order Ordinary Differential Equation with Dirichlet Boundary Conditions
نویسنده
چکیده
We study the existence and approximation of solutions for a nonlinear second order ordinary differential equation with Dirichlet boundary value conditions. We present a generalized quasilinearization technique to obtain a sequence of approximate solutions converging quadratically to a solution.
منابع مشابه
The generalized quasilinearization technique for a second order differential equation with separated boundary conditions
The method of upper and lower solutions and the method of quasilinearization for a second order nonlinear differential equation −x (t) = f (t, x, x ), t ∈ [0, 1] subject to the separated boundary conditions p0x(0) − q0x (0) = a, p1x(1) + q1x (1) = b, is developed. A monotone sequence of solutions of linear problems converging uniformly and quadratically to a solution of the problem is obtained....
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