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A novel method for nonlinear two-point boundary value problems: Combination of ADM and RKM. (English) Zbl 1208.65103
The authors propose a new method based on a combination of the Adomian decomposition method (ADM) and the reproducing kernel method (RKM) for the solution of the two point boundary value problems. The main advantage of this work over the standard ADM is that it can avoid unnecessary calculations in determining the unknown parameters. The proposed method is applicable to both singular and non-singular problems. Numerical results show that the numerical scheme is very effective and convenient for solving weakly nonlinear two point boundary value problems.
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
34B16Singular nonlinear boundary value problems for ODE
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