Numerical Solutions of Nonlinear Heat Equations Using Adomain Decomposition and Natural Decomposition Methods

Simple item page
dc.contributor.advisorTesfa Biset
dc.contributor.authorEndalew Kebede
dc.date.accessioned2025-09-05T22:19:18Z
dc.date.available2025-09-05T22:19:18Z
dc.date.issued2024-09
dc.description.abstractThe Adomian decomposition method (ADM) is a powerful method which considers approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution in the form of a rapid convergent series with easily computable components.Accrdingly, it is found to study the method to obtain solution of nonlinear heat equations. The method is a combination of Natural Transform Method (NTM) and Adomian Decomposition Method (ADM) which gives an exact solution. The exact solutions we obtained have been compared with the approximate solution of the nonlinear heat equations. ADM is able to solve this type of equations effectively and accurately without any need for discretization, perturbation, transformation and linearization.
dc.identifier.urihttps://etd.aau.edu.et/handle/123456789/7367
dc.language.isoen_US
dc.publisherAddis Ababa University
dc.subjectNonlinear Heat Equations
dc.subjectAdomain Decomposition Method
dc.subjectNatural Decomposition Method
dc.titleNumerical Solutions of Nonlinear Heat Equations Using Adomain Decomposition and Natural Decomposition Methods
dc.typeThesis

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Endalew Kebede 2024.pdf
Size:
811.89 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:
Download

Collections

Mathematics