Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method

B-spline functions have been used as tools for generating curves and surfaces in Computer Aided Geometric Design and computer graphics. The main advantage of these functions are the properties of their local control points, where each control point is connected with a specific basis function. Every...

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Main Author:	Iqbal, Azhar
Format:	Thesis
Language:	English
Published:	2020
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/52548/1/Pages%20from%20Azhar%20Iqbal%20Final%20Thesis%28PhD%29.pdf
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spelling	my-usm-ep.525482022-05-20T02:05:47Z Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method 2020-11 Iqbal, Azhar QA1 Mathematics (General) B-spline functions have been used as tools for generating curves and surfaces in Computer Aided Geometric Design and computer graphics. The main advantage of these functions are the properties of their local control points, where each control point is connected with a specific basis function. Every point determines the curve shape over a parameter range values where the basis function is non-zero. Because of these properties, B-spline functions can be used to produce the approximate solutions to partial differential equations (PDEs). Various numerical techniques are available to find the numerical solution of nonlinear PDEs. In recent years, the Galerkin method has gained much attention from researchers due to its ability to provide accurate and efficient numerical solutions to nonlinear problems. The choice of basis functions play a major role in the Galerkin method. 2020-11 Thesis http://eprints.usm.my/52548/ http://eprints.usm.my/52548/1/Pages%20from%20Azhar%20Iqbal%20Final%20Thesis%28PhD%29.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1 Mathematics (General)
spellingShingle	QA1 Mathematics (General) Iqbal, Azhar Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
description	B-spline functions have been used as tools for generating curves and surfaces in Computer Aided Geometric Design and computer graphics. The main advantage of these functions are the properties of their local control points, where each control point is connected with a specific basis function. Every point determines the curve shape over a parameter range values where the basis function is non-zero. Because of these properties, B-spline functions can be used to produce the approximate solutions to partial differential equations (PDEs). Various numerical techniques are available to find the numerical solution of nonlinear PDEs. In recent years, the Galerkin method has gained much attention from researchers due to its ability to provide accurate and efficient numerical solutions to nonlinear problems. The choice of basis functions play a major role in the Galerkin method.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Iqbal, Azhar
author_facet	Iqbal, Azhar
author_sort	Iqbal, Azhar
title	Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
title_short	Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
title_full	Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
title_fullStr	Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
title_full_unstemmed	Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
title_sort	numerical solution of nonlinear schrödinger equations based on b-spline galerkin finite element method
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2020
url	http://eprints.usm.my/52548/1/Pages%20from%20Azhar%20Iqbal%20Final%20Thesis%28PhD%29.pdf
_version_	1747822189807140864

Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method

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