A new computational algorithm for the solution of second order initial value problems in ordinary differential equations

• Autores: P.K. Pandey
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 1, 2018, págs. 167-174
• Idioma: inglés
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• Resumen

  • In this article, we propose a new computational method for second order initial value problems in ordinary differential equations. The algorithm developed is based on a local representation of theoretical solution of the second order initial value problem by a non-linear interpolating function . Numerical examples are solved to ensure the computational performance of the algorithm for both linear and non-linear initial value problems. From the results we obtained ,the algorithm can be said computationally efficient and effective.