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
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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
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