AN INTEGRAL TRANSFORM TOGETHER WITH TAYLOR SERIES AND DECOMPOSITION METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER

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Published: Feb 27, 2023
DOI: https://doi.org/10.22452/mjs.vol42no1.6
Keywords:
Aboodh Transform Adomian Decomposition Taylor Series Twelfth Thirteenth Order

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E. I. Akinola
Bowen University, PMB 284, Iwo, Osun State, NIGERIA.
https://orcid.org/0000-0003-0725-8437
Johnson Adekunle Owolabi
Bowen University, PMB 284, Iwo, Osun State, NIGERIA.
https://orcid.org/0000-0003-2084-799X
S. Alao
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, PMB 4000, Ogbomoso, Oyo State, NIGERIA.
O. S. Sangoniyi
Mathematics Department, Emmanuel Alayande College of Education, Oyo, Oyo State, NIGERIA.

Abstract

This work aims to determine the approximate solutions of nonlinear boundary value problems of higher order obtained through the Aboodh Transform Series Decomposition Method (ATSDM), a method designed to find the integral and the inverse transform of the problems, expand the exponential function, and simultaneously decompose the nonlinear terms. The results obtained demonstrate that ATSDM is an excellent and trusted approximate method that can be employed to obtain accurate results for any problem similar to the one presented in this work.

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How to Cite
Akinola, E. I. ., Owolabi, J. A., Alao, S. ., & Sunday Oloruntoyin Sangoniyi. (2023). AN INTEGRAL TRANSFORM TOGETHER WITH TAYLOR SERIES AND DECOMPOSITION METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER. Malaysian Journal of Science, 42(1), 62–67. https://doi.org/10.22452/mjs.vol42no1.6
Issue
Vol 42 No 1 (2023): February
Section
Original Articles

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