An efficient computational method for second order boundary value problems of nonlinear differential equations. (English) Zbl 1193.65134

Zhou, Yongfang; Lin, Yinzhen; Cui, Minggen

Appl. Math. Comput. 194, No. 2, 354-365 (2007).

Summary: We will discuss a class of boundary value problems (BVPs) of nonlinear differential equations in the reproducing kernel space. The existence of the solution and a iterative method are established for the kind of problems. Some examples are displayed to demonstrate the computation efficiency of the method.

MSC:

65L10

Numerical solution of boundary value problems involving ordinary differential equations

Keywords:

boundary value problems; nonlinear differential equation; existence; the reproducing kernel space

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