RBF Approximation Method for Initial Boundary Value Problems

Marjan, Uddin (2011) RBF Approximation Method for Initial Boundary Value Problems. Doctoral thesis, Ghulam Ishaq Khan Institute Of Engineering Sciences And Technology, Swabi.

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Abstract

Partial differential equations are usually classified in to two kinds, steady-state equations, where all the variables are spatial, and evolutionary equations, which combine differentiations with respect to space and time.The evolutionary equations model systems that undergo change as a function of time and they have application in wave phenomena, thermodynamics, diffusive processes and population dynamics.The evolutionary partial differential equations are usually parabolic or hyperbolic in nature.The evolutionary differential equations have a similarity with ordinary differential equations.There are many similarities between the numerical treatment of ODEs and PDEs.In fact the most effective mean to solve PDEs is to transform into ODEs system. However, this similarity is deceptive.In the theory of finite differences, the numerical solution of evolutionary PDEs requires to descretize both in time and space.In this thesis RBF approximation methods are presented for the approximate solution of various kinds of evolutionary partial differential equations.These RBF methods are independent of space dimension and geometry.These RBF approximation methods require only to descretize these evolutionary equations in time and not in space

Item Type: Thesis (Doctoral)
Uncontrolled Keywords: Problems, Method, Initial, Boundary, Approximation, Value
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Depositing User: Muhammad Khan Khan
Date Deposited: 02 Sep 2016 05:04
Last Modified: 02 Sep 2016 05:04
URI: http://eprints.hec.gov.pk/id/eprint/798

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