On Solutions of a Higher Order Nonhomogeneous Ordinary Differential Equation

Abstract

Higher order differential equations (ODE) has an important role in the modelling process. It is also much significant which the method is used for the solution. In this study, in order to get the approximate solution of a nonhomogeneous initial value problem, reproducing kernel Hilbert space method is used. Reproducing kernel functions have been obtained and the given problem transformed to the homogeneous form. The results have been presented with the graphics. Absolute errors and relative errors have been given in the tables.

Keywords

• Nonhomogeneous ordinary differential equations
• Approximate solution
• Initial value problems Reproducing kernel method

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