Applications of Green’s Function to Dirichlet Problems

dc.contributor.advisorBahru Tsegaye
dc.contributor.authorChali Bekele
dc.date.accessioned2025-09-12T21:46:18Z
dc.date.available2025-09-12T21:46:18Z
dc.date.issued2024-09
dc.description.abstractThe aim of this paper is to present a new definition of the Green function of the Dirichlet problem for the Laplace equation prompted by the theory of ordinary Differential equation and Partial Differential Equations. A Green function, a mathematical function that was introduced by George Green in 1793-1841. Green function use for solving Ordinary and Partial differential equations in different dimensions for both time dependent and time independent problems. Green function is used in many theories such as quantum field theory, Electrodynamics and statistical field theory to refer various types of functions
dc.identifier.urihttps://etd.aau.edu.et/handle/123456789/7439
dc.language.isoen_US
dc.publisherAddis Ababa University
dc.subjectLaplace’s Equation
dc.subjectPoisson Equation
dc.subjectFundamental Solution
dc.subjectGreen’s Function
dc.subjectGreen’s Theorem
dc.subjectGreen’s Identities
dc.subjectGreen’s Properties
dc.subjectDirichlet Boundary Conditions.
dc.titleApplications of Green’s Function to Dirichlet Problems
dc.typeThesis

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