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

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

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 methodpower series methodlinear differential equationsvariable coefficientsseries solutions.

References

[1]. Wilmer, A. & Costa, G. B. (2008), Solving second order differential equations with variable coefficients, International journal of mathematical edu. in sci and tech., 238 – 243. [2]. Wazwaz, A. – M. (1998), A comparison between Adomian decomposition method and Taylor series method solution, Appl Math. Comput. 97, 37 – 44. [3]. Adomian, G. (1988), A review of the decomposition method in applied Mathematics, Journal of mathematical analysis and applications, 135, 501 – 544. [4]. Nhawu, G., Mafuta, P. & Mushanyu, J. (2016), The Adomian decomposition method for numerical solution of first order differential equations, J. Math. Comput. Sci., 6, No 3, 307 – 314. [5]. Dabwan, N. M. & Hasan Y. Q. (2020), Solving second order ordinary differential equations using new modified Adomian method, Scientific journal 9, no 3, 937 – 943.

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

Abstract

Keywords

References

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