ISSN 1119-4618
 

Original Research 


Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems

Joshua Sunday, Joshua Amawa Kwanamu, Nathaniel Mahwash Kamoh, Yusuf Skwame.

Abstract
Boundary Value Problems (BVPs) of higher order have been found to be potentially applicable in hydro-magnetic stability, hydrodynamics, chemical reactions, heat power transmission theory and the boundary layer theory in fluid mechanics. In this research, a method which decomposes the solution into the series which converges rapidly shall be derived. We shall call this method the Reformulated Adomian Decomposition Method (RADM). This method is an improvement over Adomian Decomposition Method (ADM). The RADM is derived in such a way that on imposing the boundary conditions on the approximant, a system of equations is obtained which in turn is solved for the undetermined constants. On substituting the resulting constants into the solution function we obtain a series solution to the problem. The RADM is applied on some linear and nonlinear two-point BVPs and from the results obtained, the method is said to be computationally reliable.

Key words: Approximation, two-point BVPs, linear, nonlinear, RADM


 
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How to Cite this Article
Pubmed Style

Sunday J, Kwanamu JA, Kamoh NM, Skwame Y, . Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems. JPAS. 2021; 21(2): 410-418. doi:10.5455/sf.115179


Web Style

Sunday J, Kwanamu JA, Kamoh NM, Skwame Y, . Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems. http://www.atbuscienceforum.com/?mno=115179 [Access: August 12, 2021]. doi:10.5455/sf.115179


AMA (American Medical Association) Style

Sunday J, Kwanamu JA, Kamoh NM, Skwame Y, . Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems. JPAS. 2021; 21(2): 410-418. doi:10.5455/sf.115179



Vancouver/ICMJE Style

Sunday J, Kwanamu JA, Kamoh NM, Skwame Y, . Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems. JPAS. (2021), [cited August 12, 2021]; 21(2): 410-418. doi:10.5455/sf.115179



Harvard Style

Sunday, J., Kwanamu, J. A., Kamoh, N. M., Skwame, Y. & (2021) Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems. JPAS, 21 (2), 410-418. doi:10.5455/sf.115179



Turabian Style

Sunday, Joshua, Joshua Amawa Kwanamu, Nathaniel Mahwash Kamoh, Yusuf Skwame, and . 2021. Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems. Science Forum (Journal of Pure and Applied Sciences), 21 (2), 410-418. doi:10.5455/sf.115179



Chicago Style

Sunday, Joshua, Joshua Amawa Kwanamu, Nathaniel Mahwash Kamoh, Yusuf Skwame, and . "Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems." Science Forum (Journal of Pure and Applied Sciences) 21 (2021), 410-418. doi:10.5455/sf.115179



MLA (The Modern Language Association) Style

Sunday, Joshua, Joshua Amawa Kwanamu, Nathaniel Mahwash Kamoh, Yusuf Skwame, and . "Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems." Science Forum (Journal of Pure and Applied Sciences) 21.2 (2021), 410-418. Print. doi:10.5455/sf.115179



APA (American Psychological Association) Style

Sunday, J., Kwanamu, J. A., Kamoh, N. M., Skwame, Y. & (2021) Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems. Science Forum (Journal of Pure and Applied Sciences), 21 (2), 410-418. doi:10.5455/sf.115179