IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 8 NO. 4 2022
DOI: https://doi.org/10.56201/ijssmr.v8.no1.2022.pg32.40

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A Summary Result on Second Order Linear Differential Equations with Variable Coefficients using Adomian Decomposition Method and Power Series Method

Grace N. Echezona, Francis O. Nwawuru

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Abstract

This paper considers two methods with series solutions to second order linear differential equations with variable coefficients. These series solutions are given by the Adomian decomposition method and the Power series method. The two methods provide approximate solutions with their techniques being different and unique. We will take some examples to illustrate the techniques of these mentioned methods and compare the results obtained. Included in the examples to be considered, is a case where none of the coefficients of the variables is zero.

keywords:

A domian decomposition method, power series method, linear differential equations, variable coefficients, series solutions.

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References:

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