Combined Modern Wavelet & Variation Iteration Methods For Convocation - Diffusion Reaction Problems (MS Theses) (Record no. 56162)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02177nam a22001337a 4500 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Memon, Muhammad |
| -- | 13MSM19 |
| -- | Supervisor- Prof. Dr. Khuda Bux Amur |
| 245 ## - TITLE STATEMENT | |
| Title | Combined Modern Wavelet & Variation Iteration Methods For Convocation - Diffusion Reaction Problems (MS Theses) |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Nawabshah: |
| Name of publisher | QUEST, |
| Year of publication | 2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 57P, : |
| 500 ## - GENERAL NOTE | |
| General note | ABSTRACT<br/>The goal of this research work is to solve some nonlinear CDR (Convection-<br/>Diffusion-Reaction) problems using VI (Variation Iteration). MVI (Modified<br/>Variational Iteration) and coupling of VI with the modern wavelets methods.<br/>Furthermore, combining the modern wavelet functions like LW (Legendre Wavelet)<br/>and CW (Chebyshev Wavelet) with VIM an algorithm is derived for the solution of<br/>nonlinear CDR PDE (Partial Differential Equations). The CDR PDE contains two<br/>nonlinear terms called the reaction and convection terms. These methods fall in the<br/>class of approximate methods using the initial solutions depending on the given<br/>space. These a priori defended functions are generally considered as initial<br/>conditions for the given nonlinear problems. The designed iterative procedure is<br/>based on the idea of variational iteration methods along with LMT (Lagrange<br/>Multiplier Technique). This method is applied to achieve the fast convergence from<br/>the successive approximations of the exact solution without any restricting<br/>approximations that may change the physical condition of the nonlinear problem.<br/>The effects on the solution are also highlighted by selection of the various parameters<br/>like, diffusion parameter, convection parameter and reaction parameter.<br/>The approximating behavior, the efficiency, the accuracy analysis and the<br/>simulations for the obtained solution are the heart of this research work. The<br/>satiability of the designed numerical algorithm will be observed on the choice of<br/>various time steps, moreover the overall performance of the algorithm will be<br/>analyzed by comparing the results with well rated existing numerical schemes for<br/>this particular class of problems.<br/> |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Department Of Mathematics |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://tinyurl.com/3ajw2hjp |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Thesis and Dissertation |
| Withdrawn status | Lost status | Home library | Current library | Date acquired | Accession Number | Koha item type |
|---|---|---|---|---|---|---|
| Research Section | Research Section | 28/11/2016 | MP/13-123 | Thesis and Dissertation | ||
| Research Section | Research Section | 02/10/2018 | MP/28-317 | Thesis and Dissertation |