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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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 |