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Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations

Since its introduction in the 1980s, the Adomian Decomposition Method (ADM) has proven to be an efficient and reliable method for solving many types of problems. Originally developed to solve nonlinear functional equations, the ADM has since been used for a wide range of equation types (like boundar...

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Main Author: Vafaeifar, Zahra
Format: Thesis
Language:English
Published: 2013
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/41672/4/ZahraVafaeifarMFS2013REF.pdf
http://eprints.utm.my/id/eprint/41672/
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spelling my.utm.416722017-06-22T01:15:59Z http://eprints.utm.my/id/eprint/41672/ Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations Vafaeifar, Zahra QA Mathematics Since its introduction in the 1980s, the Adomian Decomposition Method (ADM) has proven to be an efficient and reliable method for solving many types of problems. Originally developed to solve nonlinear functional equations, the ADM has since been used for a wide range of equation types (like boundary value problems, integral equations, equations arising in flow of incompressible and compressible fluids etc...). This work is devoted to an evaluation of the effectiveness of this method when used for solve nonlinear Volterra integro-differential equations and also the combined form of the Laplace transform method with the Adomian decomposition method is effectively and useful way to develop an analytic treatment for many types of equations, linear and nonlinear ordinary differential equations (ODE), linear and nonlinear partial differential equations (PDE). In this study will combined Laplace transform-Adomian decomposition method to solve nonlinear Volterra integro-differential equations, this study is divided into five Chapters. The first chapter is devoted to an introduction, the second is devoted to the literature review, and Chapter 3 devoted to research methodology, Chapter 4 presents the solution for the nonlinear Volterra integro-differential equation. Finally, the Chapter 5 is devoted to the conclusion and recommendations based on this study. 2013-10 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/41672/4/ZahraVafaeifarMFS2013REF.pdf Vafaeifar, Zahra (2013) Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Vafaeifar, Zahra
Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
description Since its introduction in the 1980s, the Adomian Decomposition Method (ADM) has proven to be an efficient and reliable method for solving many types of problems. Originally developed to solve nonlinear functional equations, the ADM has since been used for a wide range of equation types (like boundary value problems, integral equations, equations arising in flow of incompressible and compressible fluids etc...). This work is devoted to an evaluation of the effectiveness of this method when used for solve nonlinear Volterra integro-differential equations and also the combined form of the Laplace transform method with the Adomian decomposition method is effectively and useful way to develop an analytic treatment for many types of equations, linear and nonlinear ordinary differential equations (ODE), linear and nonlinear partial differential equations (PDE). In this study will combined Laplace transform-Adomian decomposition method to solve nonlinear Volterra integro-differential equations, this study is divided into five Chapters. The first chapter is devoted to an introduction, the second is devoted to the literature review, and Chapter 3 devoted to research methodology, Chapter 4 presents the solution for the nonlinear Volterra integro-differential equation. Finally, the Chapter 5 is devoted to the conclusion and recommendations based on this study.
format Thesis
author Vafaeifar, Zahra
author_facet Vafaeifar, Zahra
author_sort Vafaeifar, Zahra
title Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
title_short Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
title_full Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
title_fullStr Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
title_full_unstemmed Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
title_sort laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
publishDate 2013
url http://eprints.utm.my/id/eprint/41672/4/ZahraVafaeifarMFS2013REF.pdf
http://eprints.utm.my/id/eprint/41672/
_version_ 1643650682502250496
score 13.211869

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